Greatest Common Factor of 3170/497, 7608/371

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3170/497, 7608/371

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 3170/497,7608/371

Given fractions are 3170/497,7608/371

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 3170,7608

Greatest Common Factor of Numerators i.e. GCF of 3170,7608 is 634 .

LCM of Denominators means LCM of 497,371 as per the given fractions.

LCM of 497,371 is 26341 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3170,7608

GCF of Fractions 3170/497,7608/371 is 634/26341

2 3170, 7608
317 1585, 3804
5, 12

∴ So the GCF of the given numbers is 2 x 317 = 634

Greatest Common Factor of 3170,7608 By Matching Biggest Common Factor Method

Greatest Common Factor of 3170,7608 By Matching Biggest Common Factor Method

Factors of 3170

List of positive integer factors of 3170 that divides 3170 without a remainder.

1,2,5,10,317,634,1585,3170

Factors of 7608

List of positive integer factors of 7608 that divides 7608 without a remainder.

1,2,3,4,6,8,12,24,317,634,951,1268,1902,2536,3804,7608

Greatest Common Factor

We found the factors 3170,7608 . The biggest common factor number is the GCF number.
So the greatest common factor 3170,7608 is 634.

Lets's calculate LCM of 497,371

7 497, 371
71, 53

∴ So the LCM of the given numbers is 7 x 71 x 53 = 26341

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 634/26341

Therefore, the GCF of Fractions 3170/497,7608/371 is 634/26341

Least Common Multiple of 497,371 with GCF Formula

Least Common Multiple of 497,371 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 497,371 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(497,371) = 7

common factors(in case of two or more numbers have common factors) = 1

GCF(497,371) x common factors =7 x 1 = 7

LCM(497,371) = ( 497 × 371 ) / 7

LCM(497,371) = 184387 / 7

LCM(497,371) = 26341


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 3170/497, 7608/371

1. 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.

2. What is the GCF of Fractions for 3170/497, 7608/371?

Answer: GCF of Numerators as per given numbers 3170/497, 7608/371 is

GCF of Numerators i.e. for 3170,7608 is 634

LCM of denominators i.e. for 497,371 is 26341.

Thus, GCF of Fractions is 634/26341.Finally, GCF of Fractions for 3170/497, 7608/371 is 634/26341.