Greatest Common Factor of 8970/74, 5852/228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8970/74, 5852/228

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 8970/74,5852/228

Given fractions are 8970/74,5852/228

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 8970,5852

Greatest Common Factor of Numerators i.e. GCF of 8970,5852 is 2 .

LCM of Denominators means LCM of 74,228 as per the given fractions.

LCM of 74,228 is 8436 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8970,5852

GCF of Fractions 8970/74,5852/228 is 2/8436

2 8970, 5852
4485, 2926

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

Greatest Common Factor of 8970,5852 By Matching Biggest Common Factor Method

Greatest Common Factor of 8970,5852 By Matching Biggest Common Factor Method

Factors of 8970

List of positive integer factors of 8970 that divides 8970 without a remainder.

1,2,3,5,6,10,13,15,23,26,30,39,46,65,69,78,115,130,138,195,230,299,345,390,598,690,897,1495,1794,2990,4485,8970

Factors of 5852

List of positive integer factors of 5852 that divides 5852 without a remainder.

1,2,4,7,11,14,19,22,28,38,44,76,77,133,154,209,266,308,418,532,836,1463,2926,5852

Greatest Common Factor

We found the factors 8970,5852 . The biggest common factor number is the GCF number.
So the greatest common factor 8970,5852 is 2.

Lets's calculate LCM of 74,228

2 74, 228
37, 114

∴ So the LCM of the given numbers is 2 x 37 x 114 = 8436

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8436

Therefore, the GCF of Fractions 8970/74,5852/228 is 2/8436

Least Common Multiple of 74,228 with GCF Formula

Least Common Multiple of 74,228 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 74,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,228) = 2

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

GCF(74,228) x common factors =2 x 1 = 2

LCM(74,228) = ( 74 × 228 ) / 2

LCM(74,228) = 16872 / 2

LCM(74,228) = 8436


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 8970/74, 5852/228

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 8970/74, 5852/228?

Answer: GCF of Numerators as per given numbers 8970/74, 5852/228 is

GCF of Numerators i.e. for 8970,5852 is 2

LCM of denominators i.e. for 74,228 is 8436.

Thus, GCF of Fractions is 2/8436.Finally, GCF of Fractions for 8970/74, 5852/228 is 2/8436.