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Example: 30 and 42
Factor them.
2 x 3 x 5 = 30
2 x 3 x 7 = 42
Select the common factors.
2 x 3 = 6, the GCF
Combine the factors, eliminating duplicates.
2 x 3 x 5 x 7 = 210, the LCM
Check it.
30 x 42 = 1260
210 x 6 = 1260
It checks.
To solve Highest Common Factor (HCF) and Lowest Common Multiple (LCM) problems using prime factorization, first, list the prime factors of each number. Then, identify the common factors to find the HCF by multiplying these common factors together. To find the LCM, multiply all the prime factors, including the common factors and the remaining factors from both numbers. This method is efficient as it breaks down the numbers into their prime components, making it easier to identify the factors they share and those they don't.
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HCF of 70 by prime factorization method?
As a product of its prime factors: 2*5*7 = 70 Note that at least two or more numbers are needed to find their HCF
Where do you use prime factorization in real life?
In finding the LCM or HCF of two or more numbers
What is the HCF of 210 and 504?
The Highest Common Factor (HCF) of two numbers is the largest positive integer that divides both numbers without leaving a remainder. To find the HCF of 210 and 504, you can use the Euclidean algorithm or prime factorization method. In this case, the prime factorization of 210 is 2 x 3 x 5 x 7, and the prime factorization of 504 is 2^3 x 3^2 x 7. To find the HCF, you take the common prime factors with the lowest exponents, which are 2 x 3 x 7 = 42. Therefore, the HCF of 210 and 504 is 42.
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
What is the HCF of two prime numbers?
1
What is the Hcf of 120 400?
The Highest Common Factor (HCF) of two numbers is the largest number that divides both numbers without leaving a remainder. To find the HCF of 120 and 400, you can use the prime factorization method. The prime factorization of 120 is 2^3 * 3 * 5 and the prime factorization of 400 is 2^4 * 5^2. To find the HCF, you take the common prime factors with the lowest exponent, which in this case is 2^3 * 5 = 40. Therefore, the HCF of 120 and 400 is 40.
What is the HCF of 120 and 65?
The Highest Common Factor (HCF) of 120 and 65 is the largest positive integer that divides both 120 and 65 without leaving a remainder. To find the HCF, you can use the Euclidean algorithm or prime factorization method. In this case, the prime factorization of 120 is 2^3 * 3 * 5 and the prime factorization of 65 is 5 * 13. The common factors are 5, so the HCF of 120 and 65 is 5.
HCF of 70 by prime factorization method?
As a product of its prime factors: 2*5*7 = 70 Note that at least two or more numbers are needed to find their HCF
Where do you use prime factorization in real life?
In finding the LCM or HCF of two or more numbers
What is the HCF of 210 and 112?
The Highest Common Factor (HCF) of 210 and 112 is the largest positive integer that divides both numbers without leaving a remainder. To find the HCF, you can use the Euclidean algorithm or prime factorization method. In this case, the prime factorization of 210 is 2 x 3 x 5 x 7, and the prime factorization of 112 is 2^4 x 7. The common factors are 2 and 7, so the HCF is 2 x 7 = 14.
What is the HCF of 4 and 28?
This is the way to do it.. Factorize 4,28 using prime numbers only (Prime factorization) till you get 1,1. The prime numbers used are 2,2 & 7 Therefore HCF(4,28)= 2*2*7 = 28.
What is the hcf of 160 and 200?
The highest common factor (HCF) of 160 and 200 is the largest positive integer that divides both 160 and 200 without leaving a remainder. To find the HCF, you can use the prime factorization method. The prime factorization of 160 is 2^5 * 5, and the prime factorization of 200 is 2^3 * 5^2. To find the HCF, you take the common factors with the lowest exponent, which in this case is 2^3 * 5 = 40. Therefore, the HCF of 160 and 200 is 40.
What is the prime factorization of HCF?
Prime factorization is one of the ways you find the HCF.
Find the HCF and the LCM 2 to the power of 2 multiply by 3 to the power of 3?
22 x 33 is the prime factorization of 108. If you have another prime factorization, we can find a GCF and an LCM between the two.
What is the HCF of 12 18 and 24?
The GCF is 6.
What is the HCF of 144 and 216?
It is: 72
What is the highest common factor of 735 and 2625?
The highest common factor (HCF) of two numbers is the largest positive integer that divides both numbers without leaving a remainder. To find the HCF of 735 and 2625, you can use the Euclidean algorithm or prime factorization method. In this case, the prime factorization of 735 is 3 x 5 x 7^2 and the prime factorization of 2625 is 3^2 x 5^2 x 7. The common factors between the two numbers are 3 and 5, so the HCF of 735 and 2625 is 15.
