Greatest Common Factor of 7264/308, 7202/5489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7264/308, 7202/5489

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 7264/308,7202/5489

Given fractions are 7264/308,7202/5489

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 7264,7202

Greatest Common Factor of Numerators i.e. GCF of 7264,7202 is 2 .

LCM of Denominators means LCM of 308,5489 as per the given fractions.

LCM of 308,5489 is 153692 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7264,7202

GCF of Fractions 7264/308,7202/5489 is 2/153692

2 7264, 7202
3632, 3601

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

Greatest Common Factor of 7264,7202 By Matching Biggest Common Factor Method

Greatest Common Factor of 7264,7202 By Matching Biggest Common Factor Method

Factors of 7264

List of positive integer factors of 7264 that divides 7264 without a remainder.

1,2,4,8,16,32,227,454,908,1816,3632,7264

Factors of 7202

List of positive integer factors of 7202 that divides 7202 without a remainder.

1,2,13,26,277,554,3601,7202

Greatest Common Factor

We found the factors 7264,7202 . The biggest common factor number is the GCF number.
So the greatest common factor 7264,7202 is 2.

Lets's calculate LCM of 308,5489

11 308, 5489
28, 499

∴ So the LCM of the given numbers is 11 x 28 x 499 = 153692

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/153692

Therefore, the GCF of Fractions 7264/308,7202/5489 is 2/153692

Least Common Multiple of 308,5489 with GCF Formula

Least Common Multiple of 308,5489 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 308,5489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(308,5489) = 11

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

GCF(308,5489) x common factors =11 x 1 = 11

LCM(308,5489) = ( 308 × 5489 ) / 11

LCM(308,5489) = 1690612 / 11

LCM(308,5489) = 153692


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 7264/308, 7202/5489

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 7264/308, 7202/5489?

Answer: GCF of Numerators as per given numbers 7264/308, 7202/5489 is

GCF of Numerators i.e. for 7264,7202 is 2

LCM of denominators i.e. for 308,5489 is 153692.

Thus, GCF of Fractions is 2/153692.Finally, GCF of Fractions for 7264/308, 7202/5489 is 2/153692.