GCF of 6627/784, 6157/2676
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6627/784, 6157/2676 i.e 47/524496 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6627/784, 6157/2676.
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 6627/784,6157/2676?
Given fractions are 6627/784,6157/2676
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 6627/784,6157/2676, numerators are 6627,6157
Denominators are 784,2676
The GCF of 6627,6157 is 47 .
LCM of 784,2676 is 524496.
The greatest common factor of 6627/784,6157/2676 = [GCF of 6627,6157]/[LCM of 784,2676]= 47/524496
Therefore, the GCF of 6627/784,6157/2676 is 47/524496.
To find the highest common factor of 6627,6157, we have to find the factors of both numbers and list the highest common factor.
The factors of 6627 are 1, 3, 47, 141, 2209, 6627
The factors of 6157 are 1, 47, 131, 6157
The HCF of 6627,6157 is 47.
Lets's calculate GCF of 6627,6157
| 47 | 6627, 6157 |
| 141, 131 |
∴ So the GCF of the given numbers is 47 = 47
Greatest Common Factor of 6627,6157 By Matching Biggest Common Factor Method
Now, list down the factors of 6627
:1,3,47,141,2209,6627
Now, list down the factors of 6157
:1,47,131,6157
Greatest Common Factor
We found the factors 6627,6157 . The biggest common factor number is the GCF number.
So the greatest common factor 6627,6157 is 47.
Lets's calculate LCM of 784,2676
| 2 | 784, 2676 |
| 2 | 392, 1338 |
| 196, 669 |
∴ So the LCM of the given numbers is 2 x 2 x 196 x 669 = 524496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/524496
Therefore, the GCF of Fractions 6627/784,6157/2676 is 47/524496
Least Common Multiple of 784,2676 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 784,2676 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(784,2676) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(784,2676) x common factors =4 x 1 = 4
LCM(784,2676) = ( 784 × 2676 ) / 4
LCM(784,2676) = 2097984 / 4
LCM(784,2676) = 524496
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FAQs on GCF of Fractions of 6627/784, 6157/2676
1. What is the HCF of 6627,6157?
The HCF of 6627,6157 is 47
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 6627/784, 6157/2676?
Answer: GCF of Numerators as per given numbers 6627/784, 6157/2676 is
GCF of Numerators i.e. for 6627,6157 is 47
LCM of denominators i.e. for 784,2676 is 524496.
Thus, GCF of Fractions is 47/524496.Finally, GCF of Fractions for 6627/784, 6157/2676 is 47/524496.