Greatest Common Factor of 681/52, 311/6844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 681/52, 311/6844

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 681/52,311/6844

Given fractions are 681/52,311/6844

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 681,311

Greatest Common Factor of Numerators i.e. GCF of 681,311 is 1 .

LCM of Denominators means LCM of 52,6844 as per the given fractions.

LCM of 52,6844 is 88972 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 681,311

GCF of Fractions 681/52,311/6844 is 1/88972

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

Greatest Common Factor of 681,311 By Matching Biggest Common Factor Method

Greatest Common Factor of 681,311 By Matching Biggest Common Factor Method

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Factors of 311

List of positive integer factors of 311 that divides 311 without a remainder.

1,311

Greatest Common Factor

We found the factors 681,311 . The biggest common factor number is the GCF number.
So the greatest common factor 681,311 is 1.

Lets's calculate LCM of 52,6844

2 52, 6844
2 26, 3422
13, 1711

∴ So the LCM of the given numbers is 2 x 2 x 13 x 1711 = 88972

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/88972

Therefore, the GCF of Fractions 681/52,311/6844 is 1/88972

Least Common Multiple of 52,6844 with GCF Formula

Least Common Multiple of 52,6844 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 52,6844 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,6844) = 4

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

GCF(52,6844) x common factors =4 x 1 = 4

LCM(52,6844) = ( 52 × 6844 ) / 4

LCM(52,6844) = 355888 / 4

LCM(52,6844) = 88972


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 681/52, 311/6844

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 681/52, 311/6844?

Answer: GCF of Numerators as per given numbers 681/52, 311/6844 is

GCF of Numerators i.e. for 681,311 is 1

LCM of denominators i.e. for 52,6844 is 88972.

Thus, GCF of Fractions is 1/88972.Finally, GCF of Fractions for 681/52, 311/6844 is 1/88972.