Greatest Common Factor of 4908/656, 3450/378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4908/656, 3450/378

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 4908/656,3450/378

Given fractions are 4908/656,3450/378

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 4908,3450

Greatest Common Factor of Numerators i.e. GCF of 4908,3450 is 6 .

LCM of Denominators means LCM of 656,378 as per the given fractions.

LCM of 656,378 is 123984 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4908,3450

GCF of Fractions 4908/656,3450/378 is 6/123984

2 4908, 3450
3 2454, 1725
818, 575

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

Greatest Common Factor of 4908,3450 By Matching Biggest Common Factor Method

Greatest Common Factor of 4908,3450 By Matching Biggest Common Factor Method

Factors of 4908

List of positive integer factors of 4908 that divides 4908 without a remainder.

1,2,3,4,6,12,409,818,1227,1636,2454,4908

Factors of 3450

List of positive integer factors of 3450 that divides 3450 without a remainder.

1,2,3,5,6,10,15,23,25,30,46,50,69,75,115,138,150,230,345,575,690,1150,1725,3450

Greatest Common Factor

We found the factors 4908,3450 . The biggest common factor number is the GCF number.
So the greatest common factor 4908,3450 is 6.

Lets's calculate LCM of 656,378

2 656, 378
328, 189

∴ So the LCM of the given numbers is 2 x 328 x 189 = 123984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/123984

Therefore, the GCF of Fractions 4908/656,3450/378 is 6/123984

Least Common Multiple of 656,378 with GCF Formula

Least Common Multiple of 656,378 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 656,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(656,378) = 2

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

GCF(656,378) x common factors =2 x 1 = 2

LCM(656,378) = ( 656 × 378 ) / 2

LCM(656,378) = 247968 / 2

LCM(656,378) = 123984


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 4908/656, 3450/378

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 4908/656, 3450/378?

Answer: GCF of Numerators as per given numbers 4908/656, 3450/378 is

GCF of Numerators i.e. for 4908,3450 is 6

LCM of denominators i.e. for 656,378 is 123984.

Thus, GCF of Fractions is 6/123984.Finally, GCF of Fractions for 4908/656, 3450/378 is 6/123984.