Greatest Common Factor of 8991/49, 7952/943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8991/49, 7952/943

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 8991/49,7952/943

Given fractions are 8991/49,7952/943

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 8991,7952

Greatest Common Factor of Numerators i.e. GCF of 8991,7952 is 1 .

LCM of Denominators means LCM of 49,943 as per the given fractions.

LCM of 49,943 is 46207 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8991,7952

GCF of Fractions 8991/49,7952/943 is 1/46207

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

Greatest Common Factor of 8991,7952 By Matching Biggest Common Factor Method

Greatest Common Factor of 8991,7952 By Matching Biggest Common Factor Method

Factors of 8991

List of positive integer factors of 8991 that divides 8991 without a remainder.

1,3,9,27,37,81,111,243,333,999,2997,8991

Factors of 7952

List of positive integer factors of 7952 that divides 7952 without a remainder.

1,2,4,7,8,14,16,28,56,71,112,142,284,497,568,994,1136,1988,3976,7952

Greatest Common Factor

We found the factors 8991,7952 . The biggest common factor number is the GCF number.
So the greatest common factor 8991,7952 is 1.

Lets's calculate LCM of 49,943

Given numbers has no common factors except 1. So, there LCM is their product i.e 46207

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46207

Therefore, the GCF of Fractions 8991/49,7952/943 is 1/46207

Least Common Multiple of 49,943 with GCF Formula

Least Common Multiple of 49,943 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 49,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,943) = 1

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

GCF(49,943) x common factors =1 x 1 = 1

LCM(49,943) = ( 49 × 943 ) / 1

LCM(49,943) = 46207 / 1

LCM(49,943) = 46207


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 8991/49, 7952/943

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 8991/49, 7952/943?

Answer: GCF of Numerators as per given numbers 8991/49, 7952/943 is

GCF of Numerators i.e. for 8991,7952 is 1

LCM of denominators i.e. for 49,943 is 46207.

Thus, GCF of Fractions is 1/46207.Finally, GCF of Fractions for 8991/49, 7952/943 is 1/46207.