Greatest Common Factor of 5349/66, 8701/931

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5349/66, 8701/931

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 5349/66,8701/931

Given fractions are 5349/66,8701/931

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 5349,8701

Greatest Common Factor of Numerators i.e. GCF of 5349,8701 is 1 .

LCM of Denominators means LCM of 66,931 as per the given fractions.

LCM of 66,931 is 61446 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5349,8701

GCF of Fractions 5349/66,8701/931 is 1/61446

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

Greatest Common Factor of 5349,8701 By Matching Biggest Common Factor Method

Greatest Common Factor of 5349,8701 By Matching Biggest Common Factor Method

Factors of 5349

List of positive integer factors of 5349 that divides 5349 without a remainder.

1,3,1783,5349

Factors of 8701

List of positive integer factors of 8701 that divides 8701 without a remainder.

1,7,11,77,113,791,1243,8701

Greatest Common Factor

We found the factors 5349,8701 . The biggest common factor number is the GCF number.
So the greatest common factor 5349,8701 is 1.

Lets's calculate LCM of 66,931

Given numbers has no common factors except 1. So, there LCM is their product i.e 61446

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61446

Therefore, the GCF of Fractions 5349/66,8701/931 is 1/61446

Least Common Multiple of 66,931 with GCF Formula

Least Common Multiple of 66,931 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 66,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,931) = 1

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

GCF(66,931) x common factors =1 x 1 = 1

LCM(66,931) = ( 66 × 931 ) / 1

LCM(66,931) = 61446 / 1

LCM(66,931) = 61446


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 5349/66, 8701/931

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 5349/66, 8701/931?

Answer: GCF of Numerators as per given numbers 5349/66, 8701/931 is

GCF of Numerators i.e. for 5349,8701 is 1

LCM of denominators i.e. for 66,931 is 61446.

Thus, GCF of Fractions is 1/61446.Finally, GCF of Fractions for 5349/66, 8701/931 is 1/61446.