Greatest Common Factor of 6952/67, 4871/277

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6952/67, 4871/277

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 6952/67,4871/277

Given fractions are 6952/67,4871/277

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 6952,4871

Greatest Common Factor of Numerators i.e. GCF of 6952,4871 is 1 .

LCM of Denominators means LCM of 67,277 as per the given fractions.

LCM of 67,277 is 18559 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6952,4871

GCF of Fractions 6952/67,4871/277 is 1/18559

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6952,4871 By Matching Biggest Common Factor Method

Greatest Common Factor of 6952,4871 By Matching Biggest Common Factor Method

Factors of 6952

List of positive integer factors of 6952 that divides 6952 without a remainder.

1,2,4,8,11,22,44,79,88,158,316,632,869,1738,3476,6952

Factors of 4871

List of positive integer factors of 4871 that divides 4871 without a remainder.

1,4871

Greatest Common Factor

We found the factors 6952,4871 . The biggest common factor number is the GCF number.
So the greatest common factor 6952,4871 is 1.

Lets's calculate LCM of 67,277

Given numbers has no common factors except 1. So, there LCM is their product i.e 18559

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18559

Therefore, the GCF of Fractions 6952/67,4871/277 is 1/18559

Least Common Multiple of 67,277 with GCF Formula

Least Common Multiple of 67,277 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 67,277 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,277) = 1

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

GCF(67,277) x common factors =1 x 1 = 1

LCM(67,277) = ( 67 × 277 ) / 1

LCM(67,277) = 18559 / 1

LCM(67,277) = 18559


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 6952/67, 4871/277

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 6952/67, 4871/277?

Answer: GCF of Numerators as per given numbers 6952/67, 4871/277 is

GCF of Numerators i.e. for 6952,4871 is 1

LCM of denominators i.e. for 67,277 is 18559.

Thus, GCF of Fractions is 1/18559.Finally, GCF of Fractions for 6952/67, 4871/277 is 1/18559.