Greatest Common Factor of 9312/49, 4957/851

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9312/49, 4957/851

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 9312/49,4957/851

Given fractions are 9312/49,4957/851

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 9312,4957

Greatest Common Factor of Numerators i.e. GCF of 9312,4957 is 1 .

LCM of Denominators means LCM of 49,851 as per the given fractions.

LCM of 49,851 is 41699 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9312,4957

GCF of Fractions 9312/49,4957/851 is 1/41699

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

Greatest Common Factor of 9312,4957 By Matching Biggest Common Factor Method

Greatest Common Factor of 9312,4957 By Matching Biggest Common Factor Method

Factors of 9312

List of positive integer factors of 9312 that divides 9312 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96,97,194,291,388,582,776,1164,1552,2328,3104,4656,9312

Factors of 4957

List of positive integer factors of 4957 that divides 4957 without a remainder.

1,4957

Greatest Common Factor

We found the factors 9312,4957 . The biggest common factor number is the GCF number.
So the greatest common factor 9312,4957 is 1.

Lets's calculate LCM of 49,851

Given numbers has no common factors except 1. So, there LCM is their product i.e 41699

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41699

Therefore, the GCF of Fractions 9312/49,4957/851 is 1/41699

Least Common Multiple of 49,851 with GCF Formula

Least Common Multiple of 49,851 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 49,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,851) = 1

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

GCF(49,851) x common factors =1 x 1 = 1

LCM(49,851) = ( 49 × 851 ) / 1

LCM(49,851) = 41699 / 1

LCM(49,851) = 41699


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 9312/49, 4957/851

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 9312/49, 4957/851?

Answer: GCF of Numerators as per given numbers 9312/49, 4957/851 is

GCF of Numerators i.e. for 9312,4957 is 1

LCM of denominators i.e. for 49,851 is 41699.

Thus, GCF of Fractions is 1/41699.Finally, GCF of Fractions for 9312/49, 4957/851 is 1/41699.