Greatest Common Factor of 7470/492, 2256/844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7470/492, 2256/844

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 7470/492,2256/844

Given fractions are 7470/492,2256/844

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 7470,2256

Greatest Common Factor of Numerators i.e. GCF of 7470,2256 is 6 .

LCM of Denominators means LCM of 492,844 as per the given fractions.

LCM of 492,844 is 103812 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7470,2256

GCF of Fractions 7470/492,2256/844 is 6/103812

2 7470, 2256
3 3735, 1128
1245, 376

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

Greatest Common Factor of 7470,2256 By Matching Biggest Common Factor Method

Greatest Common Factor of 7470,2256 By Matching Biggest Common Factor Method

Factors of 7470

List of positive integer factors of 7470 that divides 7470 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,83,90,166,249,415,498,747,830,1245,1494,2490,3735,7470

Factors of 2256

List of positive integer factors of 2256 that divides 2256 without a remainder.

1,2,3,4,6,8,12,16,24,47,48,94,141,188,282,376,564,752,1128,2256

Greatest Common Factor

We found the factors 7470,2256 . The biggest common factor number is the GCF number.
So the greatest common factor 7470,2256 is 6.

Lets's calculate LCM of 492,844

2 492, 844
2 246, 422
123, 211

∴ So the LCM of the given numbers is 2 x 2 x 123 x 211 = 103812

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/103812

Therefore, the GCF of Fractions 7470/492,2256/844 is 6/103812

Least Common Multiple of 492,844 with GCF Formula

Least Common Multiple of 492,844 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 492,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,844) = 4

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

GCF(492,844) x common factors =4 x 1 = 4

LCM(492,844) = ( 492 × 844 ) / 4

LCM(492,844) = 415248 / 4

LCM(492,844) = 103812


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 7470/492, 2256/844

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 7470/492, 2256/844?

Answer: GCF of Numerators as per given numbers 7470/492, 2256/844 is

GCF of Numerators i.e. for 7470,2256 is 6

LCM of denominators i.e. for 492,844 is 103812.

Thus, GCF of Fractions is 6/103812.Finally, GCF of Fractions for 7470/492, 2256/844 is 6/103812.