Greatest Common Factor of 8127/43, 5052/948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8127/43, 5052/948

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 8127/43,5052/948

Given fractions are 8127/43,5052/948

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 8127,5052

Greatest Common Factor of Numerators i.e. GCF of 8127,5052 is 3 .

LCM of Denominators means LCM of 43,948 as per the given fractions.

LCM of 43,948 is 40764 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8127,5052

GCF of Fractions 8127/43,5052/948 is 3/40764

3 8127, 5052
2709, 1684

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

Greatest Common Factor of 8127,5052 By Matching Biggest Common Factor Method

Greatest Common Factor of 8127,5052 By Matching Biggest Common Factor Method

Factors of 8127

List of positive integer factors of 8127 that divides 8127 without a remainder.

1,3,7,9,21,27,43,63,129,189,301,387,903,1161,2709,8127

Factors of 5052

List of positive integer factors of 5052 that divides 5052 without a remainder.

1,2,3,4,6,12,421,842,1263,1684,2526,5052

Greatest Common Factor

We found the factors 8127,5052 . The biggest common factor number is the GCF number.
So the greatest common factor 8127,5052 is 3.

Lets's calculate LCM of 43,948

Given numbers has no common factors except 1. So, there LCM is their product i.e 40764

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/40764

Therefore, the GCF of Fractions 8127/43,5052/948 is 3/40764

Least Common Multiple of 43,948 with GCF Formula

Least Common Multiple of 43,948 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 43,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,948) = 1

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

GCF(43,948) x common factors =1 x 1 = 1

LCM(43,948) = ( 43 × 948 ) / 1

LCM(43,948) = 40764 / 1

LCM(43,948) = 40764


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 8127/43, 5052/948

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 8127/43, 5052/948?

Answer: GCF of Numerators as per given numbers 8127/43, 5052/948 is

GCF of Numerators i.e. for 8127,5052 is 3

LCM of denominators i.e. for 43,948 is 40764.

Thus, GCF of Fractions is 3/40764.Finally, GCF of Fractions for 8127/43, 5052/948 is 3/40764.