Greatest Common Factor of 311/49, 746/616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 311/49, 746/616

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 311/49,746/616

Given fractions are 311/49,746/616

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 311,746

Greatest Common Factor of Numerators i.e. GCF of 311,746 is 1 .

LCM of Denominators means LCM of 49,616 as per the given fractions.

LCM of 49,616 is 4312 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 311,746

GCF of Fractions 311/49,746/616 is 1/4312

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

Greatest Common Factor of 311,746 By Matching Biggest Common Factor Method

Greatest Common Factor of 311,746 By Matching Biggest Common Factor Method

Factors of 311

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

1,311

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Greatest Common Factor

We found the factors 311,746 . The biggest common factor number is the GCF number.
So the greatest common factor 311,746 is 1.

Lets's calculate LCM of 49,616

7 49, 616
7, 88

∴ So the LCM of the given numbers is 7 x 7 x 88 = 4312

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4312

Therefore, the GCF of Fractions 311/49,746/616 is 1/4312

Least Common Multiple of 49,616 with GCF Formula

Least Common Multiple of 49,616 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 49,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,616) = 7

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

GCF(49,616) x common factors =7 x 1 = 7

LCM(49,616) = ( 49 × 616 ) / 7

LCM(49,616) = 30184 / 7

LCM(49,616) = 4312


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 311/49, 746/616

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 311/49, 746/616?

Answer: GCF of Numerators as per given numbers 311/49, 746/616 is

GCF of Numerators i.e. for 311,746 is 1

LCM of denominators i.e. for 49,616 is 4312.

Thus, GCF of Fractions is 1/4312.Finally, GCF of Fractions for 311/49, 746/616 is 1/4312.