Greatest Common Factor of 8952/359, 5514/749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8952/359, 5514/749

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 8952/359,5514/749

Given fractions are 8952/359,5514/749

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 8952,5514

Greatest Common Factor of Numerators i.e. GCF of 8952,5514 is 6 .

LCM of Denominators means LCM of 359,749 as per the given fractions.

LCM of 359,749 is 268891 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8952,5514

GCF of Fractions 8952/359,5514/749 is 6/268891

2 8952, 5514
3 4476, 2757
1492, 919

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 8952,5514 By Matching Biggest Common Factor Method

Greatest Common Factor of 8952,5514 By Matching Biggest Common Factor Method

Factors of 8952

List of positive integer factors of 8952 that divides 8952 without a remainder.

1,2,3,4,6,8,12,24,373,746,1119,1492,2238,2984,4476,8952

Factors of 5514

List of positive integer factors of 5514 that divides 5514 without a remainder.

1,2,3,6,919,1838,2757,5514

Greatest Common Factor

We found the factors 8952,5514 . The biggest common factor number is the GCF number.
So the greatest common factor 8952,5514 is 6.

Lets's calculate LCM of 359,749

Given numbers has no common factors except 1. So, there LCM is their product i.e 268891

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/268891

Therefore, the GCF of Fractions 8952/359,5514/749 is 6/268891

Least Common Multiple of 359,749 with GCF Formula

Least Common Multiple of 359,749 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 359,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(359,749) = 1

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

GCF(359,749) x common factors =1 x 1 = 1

LCM(359,749) = ( 359 × 749 ) / 1

LCM(359,749) = 268891 / 1

LCM(359,749) = 268891


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 8952/359, 5514/749

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 8952/359, 5514/749?

Answer: GCF of Numerators as per given numbers 8952/359, 5514/749 is

GCF of Numerators i.e. for 8952,5514 is 6

LCM of denominators i.e. for 359,749 is 268891.

Thus, GCF of Fractions is 6/268891.Finally, GCF of Fractions for 8952/359, 5514/749 is 6/268891.