Greatest Common Factor of 5288/665, 9100/6921

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5288/665, 9100/6921

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 5288/665,9100/6921

Given fractions are 5288/665,9100/6921

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 5288,9100

Greatest Common Factor of Numerators i.e. GCF of 5288,9100 is 4 .

LCM of Denominators means LCM of 665,6921 as per the given fractions.

LCM of 665,6921 is 4602465 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5288,9100

GCF of Fractions 5288/665,9100/6921 is 4/4602465

2 5288, 9100
2 2644, 4550
1322, 2275

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 5288,9100 By Matching Biggest Common Factor Method

Greatest Common Factor of 5288,9100 By Matching Biggest Common Factor Method

Factors of 5288

List of positive integer factors of 5288 that divides 5288 without a remainder.

1,2,4,8,661,1322,2644,5288

Factors of 9100

List of positive integer factors of 9100 that divides 9100 without a remainder.

1,2,4,5,7,10,13,14,20,25,26,28,35,50,52,65,70,91,100,130,140,175,182,260,325,350,364,455,650,700,910,1300,1820,2275,4550,9100

Greatest Common Factor

We found the factors 5288,9100 . The biggest common factor number is the GCF number.
So the greatest common factor 5288,9100 is 4.

Lets's calculate LCM of 665,6921

Given numbers has no common factors except 1. So, there LCM is their product i.e 4602465

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4602465

Therefore, the GCF of Fractions 5288/665,9100/6921 is 4/4602465

Least Common Multiple of 665,6921 with GCF Formula

Least Common Multiple of 665,6921 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 665,6921 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(665,6921) = 1

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

GCF(665,6921) x common factors =1 x 1 = 1

LCM(665,6921) = ( 665 × 6921 ) / 1

LCM(665,6921) = 4602465 / 1

LCM(665,6921) = 4602465


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 5288/665, 9100/6921

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 5288/665, 9100/6921?

Answer: GCF of Numerators as per given numbers 5288/665, 9100/6921 is

GCF of Numerators i.e. for 5288,9100 is 4

LCM of denominators i.e. for 665,6921 is 4602465.

Thus, GCF of Fractions is 4/4602465.Finally, GCF of Fractions for 5288/665, 9100/6921 is 4/4602465.