Greatest Common Factor of 902/7387, 748/2209

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 902/7387, 748/2209

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 902/7387,748/2209

Given fractions are 902/7387,748/2209

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 902,748

Greatest Common Factor of Numerators i.e. GCF of 902,748 is 22 .

LCM of Denominators means LCM of 7387,2209 as per the given fractions.

LCM of 7387,2209 is 16317883 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 902,748

GCF of Fractions 902/7387,748/2209 is 22/16317883

2 902, 748
11 451, 374
41, 34

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 902,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 902,748 By Matching Biggest Common Factor Method

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 902,748 . The biggest common factor number is the GCF number.
So the greatest common factor 902,748 is 22.

Lets's calculate LCM of 7387,2209

Given numbers has no common factors except 1. So, there LCM is their product i.e 16317883

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/16317883

Therefore, the GCF of Fractions 902/7387,748/2209 is 22/16317883

Least Common Multiple of 7387,2209 with GCF Formula

Least Common Multiple of 7387,2209 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 7387,2209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7387,2209) = 1

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

GCF(7387,2209) x common factors =1 x 1 = 1

LCM(7387,2209) = ( 7387 × 2209 ) / 1

LCM(7387,2209) = 16317883 / 1

LCM(7387,2209) = 16317883


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 902/7387, 748/2209

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 902/7387, 748/2209?

Answer: GCF of Numerators as per given numbers 902/7387, 748/2209 is

GCF of Numerators i.e. for 902,748 is 22

LCM of denominators i.e. for 7387,2209 is 16317883.

Thus, GCF of Fractions is 22/16317883.Finally, GCF of Fractions for 902/7387, 748/2209 is 22/16317883.