Greatest Common Factor of 7638/172, 7686/6317

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7638/172, 7686/6317

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 7638/172,7686/6317

Given fractions are 7638/172,7686/6317

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 7638,7686

Greatest Common Factor of Numerators i.e. GCF of 7638,7686 is 6 .

LCM of Denominators means LCM of 172,6317 as per the given fractions.

LCM of 172,6317 is 1086524 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7638,7686

GCF of Fractions 7638/172,7686/6317 is 6/1086524

2 7638, 7686
3 3819, 3843
1273, 1281

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 7638,7686 By Matching Biggest Common Factor Method

Greatest Common Factor of 7638,7686 By Matching Biggest Common Factor Method

Factors of 7638

List of positive integer factors of 7638 that divides 7638 without a remainder.

1,2,3,6,19,38,57,67,114,134,201,402,1273,2546,3819,7638

Factors of 7686

List of positive integer factors of 7686 that divides 7686 without a remainder.

1,2,3,6,7,9,14,18,21,42,61,63,122,126,183,366,427,549,854,1098,1281,2562,3843,7686

Greatest Common Factor

We found the factors 7638,7686 . The biggest common factor number is the GCF number.
So the greatest common factor 7638,7686 is 6.

Lets's calculate LCM of 172,6317

Given numbers has no common factors except 1. So, there LCM is their product i.e 1086524

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1086524

Therefore, the GCF of Fractions 7638/172,7686/6317 is 6/1086524

Least Common Multiple of 172,6317 with GCF Formula

Least Common Multiple of 172,6317 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 172,6317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(172,6317) = 1

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

GCF(172,6317) x common factors =1 x 1 = 1

LCM(172,6317) = ( 172 × 6317 ) / 1

LCM(172,6317) = 1086524 / 1

LCM(172,6317) = 1086524


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 7638/172, 7686/6317

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 7638/172, 7686/6317?

Answer: GCF of Numerators as per given numbers 7638/172, 7686/6317 is

GCF of Numerators i.e. for 7638,7686 is 6

LCM of denominators i.e. for 172,6317 is 1086524.

Thus, GCF of Fractions is 6/1086524.Finally, GCF of Fractions for 7638/172, 7686/6317 is 6/1086524.