Greatest Common Factor of 7362/902, 3258/7349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7362/902, 3258/7349

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 7362/902,3258/7349

Given fractions are 7362/902,3258/7349

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 7362,3258

Greatest Common Factor of Numerators i.e. GCF of 7362,3258 is 18 .

LCM of Denominators means LCM of 902,7349 as per the given fractions.

LCM of 902,7349 is 6628798 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7362,3258

GCF of Fractions 7362/902,3258/7349 is 18/6628798

2 7362, 3258
3 3681, 1629
3 1227, 543
409, 181

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 7362,3258 By Matching Biggest Common Factor Method

Greatest Common Factor of 7362,3258 By Matching Biggest Common Factor Method

Factors of 7362

List of positive integer factors of 7362 that divides 7362 without a remainder.

1,2,3,6,9,18,409,818,1227,2454,3681,7362

Factors of 3258

List of positive integer factors of 3258 that divides 3258 without a remainder.

1,2,3,6,9,18,181,362,543,1086,1629,3258

Greatest Common Factor

We found the factors 7362,3258 . The biggest common factor number is the GCF number.
So the greatest common factor 7362,3258 is 18.

Lets's calculate LCM of 902,7349

Given numbers has no common factors except 1. So, there LCM is their product i.e 6628798

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/6628798

Therefore, the GCF of Fractions 7362/902,3258/7349 is 18/6628798

Least Common Multiple of 902,7349 with GCF Formula

Least Common Multiple of 902,7349 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 902,7349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(902,7349) = 1

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

GCF(902,7349) x common factors =1 x 1 = 1

LCM(902,7349) = ( 902 × 7349 ) / 1

LCM(902,7349) = 6628798 / 1

LCM(902,7349) = 6628798


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 7362/902, 3258/7349

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 7362/902, 3258/7349?

Answer: GCF of Numerators as per given numbers 7362/902, 3258/7349 is

GCF of Numerators i.e. for 7362,3258 is 18

LCM of denominators i.e. for 902,7349 is 6628798.

Thus, GCF of Fractions is 18/6628798.Finally, GCF of Fractions for 7362/902, 3258/7349 is 18/6628798.