Greatest Common Factor of 915/48, 745/2376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 915/48, 745/2376

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 915/48,745/2376

Given fractions are 915/48,745/2376

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 915,745

Greatest Common Factor of Numerators i.e. GCF of 915,745 is 5 .

LCM of Denominators means LCM of 48,2376 as per the given fractions.

LCM of 48,2376 is 4752 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 915,745

GCF of Fractions 915/48,745/2376 is 5/4752

5 915, 745
183, 149

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 915,745 By Matching Biggest Common Factor Method

Greatest Common Factor of 915,745 By Matching Biggest Common Factor Method

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Greatest Common Factor

We found the factors 915,745 . The biggest common factor number is the GCF number.
So the greatest common factor 915,745 is 5.

Lets's calculate LCM of 48,2376

2 48, 2376
2 24, 1188
2 12, 594
3 6, 297
2, 99

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 2 x 99 = 4752

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/4752

Therefore, the GCF of Fractions 915/48,745/2376 is 5/4752

Least Common Multiple of 48,2376 with GCF Formula

Least Common Multiple of 48,2376 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 48,2376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,2376) = 24

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

GCF(48,2376) x common factors =24 x 1 = 24

LCM(48,2376) = ( 48 × 2376 ) / 24

LCM(48,2376) = 114048 / 24

LCM(48,2376) = 4752


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 915/48, 745/2376

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 915/48, 745/2376?

Answer: GCF of Numerators as per given numbers 915/48, 745/2376 is

GCF of Numerators i.e. for 915,745 is 5

LCM of denominators i.e. for 48,2376 is 4752.

Thus, GCF of Fractions is 5/4752.Finally, GCF of Fractions for 915/48, 745/2376 is 5/4752.