The common positive integer factors of 54 and 96 are: 1, 2, 3, 6
To find the HCF of two numbers you first need to write them as the product of their prime factors: 52 = 2x2x13 96 = 2x2x2x2x2x3 The next step is to identify any common prime factors. In this case, both numbers have two 2s as prime factors. Multiply these and you get: 2x2 = 4 Thus the HCF of 52 and 96 is 4.
As a product of its prime factors in exponents: 25*3 = 96
48 =2x2x2x2x3 96=2x2x2x2x2x3 Common factors are 2,2,2,2,3
Since 73 and 96 have no prime factors in common, the LCM is their product.
To work out the hcf of two numbers, you first need to break them down into their prime factors. In this case you'd get: 54 = 2x3x3x3 96 = 2x2x2x2x2x3 The next step is to identify any common prime factors. In this case, both numbers have a 2 and a 3 as prime factors. Multiply these together and you get 6. Therefore the HCF of 54 and 96 is 6.
The common positive integer factors of 54 and 96 are: 1, 2, 3, 6
Yes, 96 and 105 are relatively prime because they have no prime factors in common.
The only common prime factor is 2.
The only common prime factor is 2.
One way to approach this is to look at the differences between the numbers. The difference between 54 and 75 is 21. The difference between 75 and 96 is 21. The greatest common factor cannot be larger than the smaller difference between the numbers and must be a factor of the difference. The factors of 21 are 1, 3, 7, and 21. The numbers are not divisible by 21, so try the next largest factor. The numbers are not divisible by 7, so try the next largest factor. The numbers are divisible by 3, so the greatest common factor is 3. Another way to determine the greatest common factor is to find all the factors of the numbers and compare them. The factors of 54 are 1, 2, 3, 6, 9, 18, 27, and 54. The factors of 75 are 1, 3, 5, 15, 25, and 75. The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96. The common factors are 1 and 3. Therefore, the greatest common factor is 3. The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together. The prime factors of 54 are 2, 3, 3, and 3. The prime factors of 75 are 3, 5, and 5. The prime factors of 96 are 2, 2, 2, 2, 2, and 3. The prime factors in common are a single 3, so the greatest common factor is 3.
2 and 3
The LCM of 24 and 32 is 96. To determine the least common multiple of two numbers, determine the prime factors of both numbers. Then, determine the prime factors they have in common. Multiply all their prime factors together (in other words, multiply both numbers together) and divide by the prime factors they have in common (in other words, their greatest common factor). The prime factors of 24 are 2, 2, 2, and 3. The prime factors of 32 are 2, 2, 2, 2, and 2. The prime factors in common are 2, 2, and 2, so the greatest common factor is 2 x 2 x 2 = 8. The least common multiple or least common denominator is 24 x 32 ÷ 8 = 96.
The Least Common Multiple of 78, 96, and 174 is 108576. The prime factors of 78 are 21 31 and 131. The prime factors of 96 are 25 and 31. The prime factors of 174 are 21 and 871. Taking the greatest encountered exponents of each factor and multiplying, you get 25 x 31 x 131 x 871 or 108576.
The LCM of 54, 72, and 96 is 864
To find the HCF of two numbers you first need to write them as the product of their prime factors: 52 = 2x2x13 96 = 2x2x2x2x2x3 The next step is to identify any common prime factors. In this case, both numbers have two 2s as prime factors. Multiply these and you get: 2x2 = 4 Thus the HCF of 52 and 96 is 4.
The GCF of 84 and 96 is 12. One way to determine the greatest common factor is to find all the factors of the numbers and compare them. The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84. The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96. The common factors are 1, 2, 3, 4, 6, and 12. Therefore, the greatest common factor is 12. The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together. The prime factors of 84 are 2, 2, 3, and 7. The prime factors of 96 are 2, 2, 2, 2, 2, and 3. The prime factors in common are 2, 2, and 3, so the greatest common factor is 2 x 2 x 3 = 12.