Greatest Common Factor of 6302/44, 7468/271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6302/44, 7468/271

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 6302/44,7468/271

Given fractions are 6302/44,7468/271

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 6302,7468

Greatest Common Factor of Numerators i.e. GCF of 6302,7468 is 2 .

LCM of Denominators means LCM of 44,271 as per the given fractions.

LCM of 44,271 is 11924 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6302,7468

GCF of Fractions 6302/44,7468/271 is 2/11924

2 6302, 7468
3151, 3734

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

Greatest Common Factor of 6302,7468 By Matching Biggest Common Factor Method

Greatest Common Factor of 6302,7468 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 7468

List of positive integer factors of 7468 that divides 7468 without a remainder.

1,2,4,1867,3734,7468

Greatest Common Factor

We found the factors 6302,7468 . The biggest common factor number is the GCF number.
So the greatest common factor 6302,7468 is 2.

Lets's calculate LCM of 44,271

Given numbers has no common factors except 1. So, there LCM is their product i.e 11924

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11924

Therefore, the GCF of Fractions 6302/44,7468/271 is 2/11924

Least Common Multiple of 44,271 with GCF Formula

Least Common Multiple of 44,271 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 44,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,271) = 1

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

GCF(44,271) x common factors =1 x 1 = 1

LCM(44,271) = ( 44 × 271 ) / 1

LCM(44,271) = 11924 / 1

LCM(44,271) = 11924


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 6302/44, 7468/271

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 6302/44, 7468/271?

Answer: GCF of Numerators as per given numbers 6302/44, 7468/271 is

GCF of Numerators i.e. for 6302,7468 is 2

LCM of denominators i.e. for 44,271 is 11924.

Thus, GCF of Fractions is 2/11924.Finally, GCF of Fractions for 6302/44, 7468/271 is 2/11924.