Greatest Common Factor of 546/335, 4923/722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 546/335, 4923/722

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 546/335,4923/722

Given fractions are 546/335,4923/722

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 546,4923

Greatest Common Factor of Numerators i.e. GCF of 546,4923 is 3 .

LCM of Denominators means LCM of 335,722 as per the given fractions.

LCM of 335,722 is 241870 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 546,4923

GCF of Fractions 546/335,4923/722 is 3/241870

3 546, 4923
182, 1641

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

Greatest Common Factor of 546,4923 By Matching Biggest Common Factor Method

Greatest Common Factor of 546,4923 By Matching Biggest Common Factor Method

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 4923

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

1,3,9,547,1641,4923

Greatest Common Factor

We found the factors 546,4923 . The biggest common factor number is the GCF number.
So the greatest common factor 546,4923 is 3.

Lets's calculate LCM of 335,722

Given numbers has no common factors except 1. So, there LCM is their product i.e 241870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/241870

Therefore, the GCF of Fractions 546/335,4923/722 is 3/241870

Least Common Multiple of 335,722 with GCF Formula

Least Common Multiple of 335,722 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 335,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(335,722) = 1

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

GCF(335,722) x common factors =1 x 1 = 1

LCM(335,722) = ( 335 × 722 ) / 1

LCM(335,722) = 241870 / 1

LCM(335,722) = 241870


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 546/335, 4923/722

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 546/335, 4923/722?

Answer: GCF of Numerators as per given numbers 546/335, 4923/722 is

GCF of Numerators i.e. for 546,4923 is 3

LCM of denominators i.e. for 335,722 is 241870.

Thus, GCF of Fractions is 3/241870.Finally, GCF of Fractions for 546/335, 4923/722 is 3/241870.