GCF of 7637/772, 6272/6156
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7637/772, 6272/6156 i.e 7/1188108 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7637/772, 6272/6156.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 7637/772,6272/6156?
Given fractions are 7637/772,6272/6156
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 7637/772,6272/6156, numerators are 7637,6272
Denominators are 772,6156
The GCF of 7637,6272 is 7 .
LCM of 772,6156 is 1188108.
The greatest common factor of 7637/772,6272/6156 = [GCF of 7637,6272]/[LCM of 772,6156]= 7/1188108
Therefore, the GCF of 7637/772,6272/6156 is 7/1188108.
To find the highest common factor of 7637,6272, we have to find the factors of both numbers and list the highest common factor.
The factors of 7637 are 1, 7, 1091, 7637
The factors of 6272 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 128, 196, 224, 392, 448, 784, 896, 1568, 3136, 6272
The HCF of 7637,6272 is 7.
Lets's calculate GCF of 7637,6272
| 7 | 7637, 6272 |
| 1091, 896 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 7637,6272 By Matching Biggest Common Factor Method
Now, list down the factors of 7637
:1,7,1091,7637
Now, list down the factors of 6272
:1,2,4,7,8,14,16,28,32,49,56,64,98,112,128,196,224,392,448,784,896,1568,3136,6272
Greatest Common Factor
We found the factors 7637,6272 . The biggest common factor number is the GCF number.
So the greatest common factor 7637,6272 is 7.
Lets's calculate LCM of 772,6156
| 2 | 772, 6156 |
| 2 | 386, 3078 |
| 193, 1539 |
∴ So the LCM of the given numbers is 2 x 2 x 193 x 1539 = 1188108
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1188108
Therefore, the GCF of Fractions 7637/772,6272/6156 is 7/1188108
Least Common Multiple of 772,6156 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 772,6156 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(772,6156) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(772,6156) x common factors =4 x 1 = 4
LCM(772,6156) = ( 772 × 6156 ) / 4
LCM(772,6156) = 4752432 / 4
LCM(772,6156) = 1188108
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FAQs on GCF of Fractions of 7637/772, 6272/6156
1. What is the HCF of 7637,6272?
The HCF of 7637,6272 is 7
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 7637/772, 6272/6156?
Answer: GCF of Numerators as per given numbers 7637/772, 6272/6156 is
GCF of Numerators i.e. for 7637,6272 is 7
LCM of denominators i.e. for 772,6156 is 1188108.
Thus, GCF of Fractions is 7/1188108.Finally, GCF of Fractions for 7637/772, 6272/6156 is 7/1188108.