Greatest Common Factor of 4924/243, 8676/6691

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4924/243, 8676/6691

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 4924/243,8676/6691

Given fractions are 4924/243,8676/6691

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 4924,8676

Greatest Common Factor of Numerators i.e. GCF of 4924,8676 is 4 .

LCM of Denominators means LCM of 243,6691 as per the given fractions.

LCM of 243,6691 is 1625913 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4924,8676

GCF of Fractions 4924/243,8676/6691 is 4/1625913

2 4924, 8676
2 2462, 4338
1231, 2169

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 4924,8676 By Matching Biggest Common Factor Method

Greatest Common Factor of 4924,8676 By Matching Biggest Common Factor Method

Factors of 4924

List of positive integer factors of 4924 that divides 4924 without a remainder.

1,2,4,1231,2462,4924

Factors of 8676

List of positive integer factors of 8676 that divides 8676 without a remainder.

1,2,3,4,6,9,12,18,36,241,482,723,964,1446,2169,2892,4338,8676

Greatest Common Factor

We found the factors 4924,8676 . The biggest common factor number is the GCF number.
So the greatest common factor 4924,8676 is 4.

Lets's calculate LCM of 243,6691

Given numbers has no common factors except 1. So, there LCM is their product i.e 1625913

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1625913

Therefore, the GCF of Fractions 4924/243,8676/6691 is 4/1625913

Least Common Multiple of 243,6691 with GCF Formula

Least Common Multiple of 243,6691 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 243,6691 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(243,6691) = 1

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

GCF(243,6691) x common factors =1 x 1 = 1

LCM(243,6691) = ( 243 × 6691 ) / 1

LCM(243,6691) = 1625913 / 1

LCM(243,6691) = 1625913


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 4924/243, 8676/6691

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 4924/243, 8676/6691?

Answer: GCF of Numerators as per given numbers 4924/243, 8676/6691 is

GCF of Numerators i.e. for 4924,8676 is 4

LCM of denominators i.e. for 243,6691 is 1625913.

Thus, GCF of Fractions is 4/1625913.Finally, GCF of Fractions for 4924/243, 8676/6691 is 4/1625913.