Greatest Common Factor of 4923/76, 6204/857

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4923/76, 6204/857

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 4923/76,6204/857

Given fractions are 4923/76,6204/857

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 4923,6204

Greatest Common Factor of Numerators i.e. GCF of 4923,6204 is 3 .

LCM of Denominators means LCM of 76,857 as per the given fractions.

LCM of 76,857 is 65132 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4923,6204

GCF of Fractions 4923/76,6204/857 is 3/65132

3 4923, 6204
1641, 2068

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

Greatest Common Factor of 4923,6204 By Matching Biggest Common Factor Method

Greatest Common Factor of 4923,6204 By Matching Biggest Common Factor Method

Factors of 4923

List of positive integer factors of 4923 that divides 4923 without a remainder.

1,3,9,547,1641,4923

Factors of 6204

List of positive integer factors of 6204 that divides 6204 without a remainder.

1,2,3,4,6,11,12,22,33,44,47,66,94,132,141,188,282,517,564,1034,1551,2068,3102,6204

Greatest Common Factor

We found the factors 4923,6204 . The biggest common factor number is the GCF number.
So the greatest common factor 4923,6204 is 3.

Lets's calculate LCM of 76,857

Given numbers has no common factors except 1. So, there LCM is their product i.e 65132

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/65132

Therefore, the GCF of Fractions 4923/76,6204/857 is 3/65132

Least Common Multiple of 76,857 with GCF Formula

Least Common Multiple of 76,857 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 76,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,857) = 1

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

GCF(76,857) x common factors =1 x 1 = 1

LCM(76,857) = ( 76 × 857 ) / 1

LCM(76,857) = 65132 / 1

LCM(76,857) = 65132


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 4923/76, 6204/857

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 4923/76, 6204/857?

Answer: GCF of Numerators as per given numbers 4923/76, 6204/857 is

GCF of Numerators i.e. for 4923,6204 is 3

LCM of denominators i.e. for 76,857 is 65132.

Thus, GCF of Fractions is 3/65132.Finally, GCF of Fractions for 4923/76, 6204/857 is 3/65132.