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List the prime factors of each number. The common factors should be obvious. If there's more than one, take their product.
EG: HCF of 35 and 91?
35 = 5 x 7, 91 = 7 x 13 so only, therefore Highest, common factor is 7
36 and 90?
36 = 2 x 2 x 3 x 3, 90 = 2 x 3 x 3 x 5; common factors are 2 x 3 x 3 making HCF 18
What else can I help you with?
What is the easiest way to find common factors?
List them.
What is the easiest way to find the greatest common factor of 3 numbers?
do the prime factorization of the 3 numbers. list the prime factors of all the 3 numbers. circle the factors that are common to the 3. multiply them. that number is the HCF
How do you get a common multiple?
The easiest way is to multiply the numbers together. The answer won't necessarily be the least common multiple, but it will be a common multiple. The easiest way to get a common multiple is to multiply the numbers together. The result will not necessarily be the least common multiple, but it will be a common multiple.
What is the greatest common factor of 119 and 391?
Answer: GCF of 119 and 391 is 17. One way to determine the greatest common factor is to find all the factors of the numbers and compare them. The factors of 119 are 1, 7, 17, and 119. The factors of 391 are 1, 17, 23, and 391 The common factors are 1 and 17. Therefore, the greatest common factor is 17. The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together. The prime factors of 119 are 7 and 17. The prime factors of 391 are 17 and 23. The prime factors in common are a single 17, so the greatest common factor is 17. Once you determine that there are only two prime factors for 119, the easiest way to determine the greatest common factor is to check whether 391 is evenly divided by either 17 or 7, rather than determining the prime factors of 391, too.
What are the common factors of 8 and 105?
The easiest way to figure this out is to get the factors of 8 and see if they are factors of 105. Factors of 8: 8, 4, 2, 1 Now check, 105/8 = 13.125 (not a factor) 105/4 = 26.25 (not a factor) 105/2 = 52.5 (not a factor) 105/1 = 105 (is a factor) So the common factor of 8 and 105 is 1.
What is the easiest way to remember common equalities?
Work many examples where they're used.
What is the easiest way to find the greatest common factor?
Prime factorization.Example: 30 and 42Factor them.2 x 3 x 5 = 302 x 3 x 7 = 42Select the common factors.2 x 3 = 6, the GCF
Are prime factors the easiest way to reduce fractions and find whether a fraction is in its simplest form and to find the lowest common denominator of two or more denominators?
Yes that is the most effective approach in reducing fractions and finding their lowest common denominator.
What is the least common factor of 13 and 18?
The only common factor that 13 and 18 have is 1.One way to determine common factors is to find all the factors of the numbers and compare them.The factors of 13 are 1 and 13.The factors of 18 are 1, 2, 3, 6, 9, and 18.The only common factor is 1.Therefore, the least (smallest) common factor is 1 and the greatest (highest) common factor is 1.The least common factor of any set of integers is 1.
What is the least common multiple of 13 and 117?
Since 13 is a factor of 117, the least common multiple is 117. 13 x 9 = 117 117 x 1 = 117 Another way to determine the least common multiple is to multiply both numbers and divide by their greatest common factor. The greatest common factor of 13 and 117 is 13, so the least common multiple is 13 x 117 ÷ 13 = 117. Another way to determine the least common multiple is to determine the prime factors of the numbers and take the highest power of each prime factor. The prime factors of 13 are 13. The prime factors of 117 are 32 and 13. The highest power of 3 is 32 and the highest power of 13 is 131. Therefore, the least common multiple of 13 and 117 is 32 x 131 = 9 x 13 = 117.
What is the highest common factor of 119 and 259?
To find the highest common factor (HCF) of 119 and 259, we need to determine the largest number that divides both 119 and 259 without leaving a remainder. One way to find the HCF is to factorize both numbers: 119 = 7 x 17 and 259 = 7 x 37. The common factor between 119 and 259 is 7, therefore the highest common factor of 119 and 259 is 7.
What is the least common multiple of 10 14 and 55?
One way to solve this is to find the least common multiple of two of the numbers, and then find the least common multiple of that result with the third number. The least common multiple of two numbers is their product divided by their greatest common factor.The greatest common factor of 10 and 14 is 2, so the least common multiple is 10 x 14 ÷ 2 = 70.The greatest common factor of 70 and 55 is 5, so the least common multiple is 70 x 55 ÷ 5 = 770.The least common multiple of 10, 14, and 55 is 770.Another way to solve this is to find the prime factors of each number, then choose the highest power of each factor and multiply them together.The prime factors of 10 are 2 and 5.The prime factors of 14 are 2 and 7.The prime factors of 55 are 5 and 11.Among the prime factors of the three numbers, the highest power of 2 is 2, the highest power of 5 is 5, the highest power of 7 is 7, and the highest power of 11 is 11. So, the least common multiple of 10, 14, and 55 is 2 x 5 x 7 x 11 = 770.
