Greatest Common Factor of 7658/127, 6950/3926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7658/127, 6950/3926

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 7658/127,6950/3926

Given fractions are 7658/127,6950/3926

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 7658,6950

Greatest Common Factor of Numerators i.e. GCF of 7658,6950 is 2 .

LCM of Denominators means LCM of 127,3926 as per the given fractions.

LCM of 127,3926 is 498602 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7658,6950

GCF of Fractions 7658/127,6950/3926 is 2/498602

2 7658, 6950
3829, 3475

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7658,6950 By Matching Biggest Common Factor Method

Greatest Common Factor of 7658,6950 By Matching Biggest Common Factor Method

Factors of 7658

List of positive integer factors of 7658 that divides 7658 without a remainder.

1,2,7,14,547,1094,3829,7658

Factors of 6950

List of positive integer factors of 6950 that divides 6950 without a remainder.

1,2,5,10,25,50,139,278,695,1390,3475,6950

Greatest Common Factor

We found the factors 7658,6950 . The biggest common factor number is the GCF number.
So the greatest common factor 7658,6950 is 2.

Lets's calculate LCM of 127,3926

Given numbers has no common factors except 1. So, there LCM is their product i.e 498602

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/498602

Therefore, the GCF of Fractions 7658/127,6950/3926 is 2/498602

Least Common Multiple of 127,3926 with GCF Formula

Least Common Multiple of 127,3926 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 127,3926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(127,3926) = 1

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

GCF(127,3926) x common factors =1 x 1 = 1

LCM(127,3926) = ( 127 × 3926 ) / 1

LCM(127,3926) = 498602 / 1

LCM(127,3926) = 498602


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 7658/127, 6950/3926

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 7658/127, 6950/3926?

Answer: GCF of Numerators as per given numbers 7658/127, 6950/3926 is

GCF of Numerators i.e. for 7658,6950 is 2

LCM of denominators i.e. for 127,3926 is 498602.

Thus, GCF of Fractions is 2/498602.Finally, GCF of Fractions for 7658/127, 6950/3926 is 2/498602.