Greatest Common Factor of 4/76, 10/93, 74/390, 264/845

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4/76, 10/93, 74/390, 264/845

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 4/76,10/93,74/390,264/845

Given fractions are 4/76,10/93,74/390,264/845

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 4,10,74,264

Greatest Common Factor of Numerators i.e. GCF of 4,10,74,264 is 2 .

LCM of Denominators means LCM of 76,93,390,845 as per the given fractions.

LCM of 76,93,390,845 is 5972460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4,10,74,264

GCF of Fractions 4/76,10/93,74/390,264/845 is 2/5972460

2 4, 10, 74, 264
2, 5, 37, 132

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

Greatest Common Factor of 4,10,74,264 By Matching Biggest Common Factor Method

Greatest Common Factor of 4,10,74,264 By Matching Biggest Common Factor Method

Factors of 4

List of positive integer factors of 4 that divides 4 without a remainder.

1,2,4

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 4,10,74,264 . The biggest common factor number is the GCF number.
So the greatest common factor 4,10,74,264 is 2.

Lets's calculate LCM of 76,93,390,845

2 76, 93, 390, 845
3 38, 93, 195, 845
5 38, 31, 65, 845
13 38, 31, 13, 169
38, 31, 1, 13

∴ So the LCM of the given numbers is 2 x 3 x 5 x 13 x 38 x 31 x 1 x 13 = 5972460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5972460

Therefore, the GCF of Fractions 4/76,10/93,74/390,264/845 is 2/5972460

Least Common Multiple of 76,93,390,845 with GCF Formula

Least Common Multiple of 76,93,390,845 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 76,93,390,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,93,390,845) = 1

common factors(in case of two or more numbers have common factors) = 390

GCF(76,93,390,845) x common factors =1 x 390 = 390

LCM(76,93,390,845) = ( 76 × 93 × 390 × 845 ) / 390

LCM(76,93,390,845) = 2329259400 / 390

LCM(76,93,390,845) = 5972460


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 4/76, 10/93, 74/390, 264/845

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 4/76, 10/93, 74/390, 264/845?

Answer: GCF of Numerators as per given numbers 4/76, 10/93, 74/390, 264/845 is

GCF of Numerators i.e. for 4,10,74,264 is 2

LCM of denominators i.e. for 76,93,390,845 is 5972460.

Thus, GCF of Fractions is 2/5972460.Finally, GCF of Fractions for 4/76, 10/93, 74/390, 264/845 is 2/5972460.