Greatest Common Factor of 6302/88, 7734/427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6302/88, 7734/427

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 6302/88,7734/427

Given fractions are 6302/88,7734/427

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 6302,7734

Greatest Common Factor of Numerators i.e. GCF of 6302,7734 is 2 .

LCM of Denominators means LCM of 88,427 as per the given fractions.

LCM of 88,427 is 37576 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6302,7734

GCF of Fractions 6302/88,7734/427 is 2/37576

2 6302, 7734
3151, 3867

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

Greatest Common Factor of 6302,7734 By Matching Biggest Common Factor Method

Greatest Common Factor of 6302,7734 By Matching Biggest Common Factor Method

Factors of 6302

List of positive integer factors of 6302 that divides 6302 without a remainder.

1,2,23,46,137,274,3151,6302

Factors of 7734

List of positive integer factors of 7734 that divides 7734 without a remainder.

1,2,3,6,1289,2578,3867,7734

Greatest Common Factor

We found the factors 6302,7734 . The biggest common factor number is the GCF number.
So the greatest common factor 6302,7734 is 2.

Lets's calculate LCM of 88,427

Given numbers has no common factors except 1. So, there LCM is their product i.e 37576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/37576

Therefore, the GCF of Fractions 6302/88,7734/427 is 2/37576

Least Common Multiple of 88,427 with GCF Formula

Least Common Multiple of 88,427 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 88,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,427) = 1

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

GCF(88,427) x common factors =1 x 1 = 1

LCM(88,427) = ( 88 × 427 ) / 1

LCM(88,427) = 37576 / 1

LCM(88,427) = 37576


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 6302/88, 7734/427

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 6302/88, 7734/427?

Answer: GCF of Numerators as per given numbers 6302/88, 7734/427 is

GCF of Numerators i.e. for 6302,7734 is 2

LCM of denominators i.e. for 88,427 is 37576.

Thus, GCF of Fractions is 2/37576.Finally, GCF of Fractions for 6302/88, 7734/427 is 2/37576.