Greatest Common Factor of 5109/948, 5175/3544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5109/948, 5175/3544

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 5109/948,5175/3544

Given fractions are 5109/948,5175/3544

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 5109,5175

Greatest Common Factor of Numerators i.e. GCF of 5109,5175 is 3 .

LCM of Denominators means LCM of 948,3544 as per the given fractions.

LCM of 948,3544 is 839928 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5109,5175

GCF of Fractions 5109/948,5175/3544 is 3/839928

3 5109, 5175
1703, 1725

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5109,5175 By Matching Biggest Common Factor Method

Greatest Common Factor of 5109,5175 By Matching Biggest Common Factor Method

Factors of 5109

List of positive integer factors of 5109 that divides 5109 without a remainder.

1,3,13,39,131,393,1703,5109

Factors of 5175

List of positive integer factors of 5175 that divides 5175 without a remainder.

1,3,5,9,15,23,25,45,69,75,115,207,225,345,575,1035,1725,5175

Greatest Common Factor

We found the factors 5109,5175 . The biggest common factor number is the GCF number.
So the greatest common factor 5109,5175 is 3.

Lets's calculate LCM of 948,3544

2 948, 3544
2 474, 1772
237, 886

∴ So the LCM of the given numbers is 2 x 2 x 237 x 886 = 839928

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/839928

Therefore, the GCF of Fractions 5109/948,5175/3544 is 3/839928

Least Common Multiple of 948,3544 with GCF Formula

Least Common Multiple of 948,3544 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 948,3544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(948,3544) = 4

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

GCF(948,3544) x common factors =4 x 1 = 4

LCM(948,3544) = ( 948 × 3544 ) / 4

LCM(948,3544) = 3359712 / 4

LCM(948,3544) = 839928


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 5109/948, 5175/3544

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 5109/948, 5175/3544?

Answer: GCF of Numerators as per given numbers 5109/948, 5175/3544 is

GCF of Numerators i.e. for 5109,5175 is 3

LCM of denominators i.e. for 948,3544 is 839928.

Thus, GCF of Fractions is 3/839928.Finally, GCF of Fractions for 5109/948, 5175/3544 is 3/839928.