Greatest Common Factor of 4773/924, 9140/6924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4773/924, 9140/6924

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 4773/924,9140/6924

Given fractions are 4773/924,9140/6924

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 4773,9140

Greatest Common Factor of Numerators i.e. GCF of 4773,9140 is 1 .

LCM of Denominators means LCM of 924,6924 as per the given fractions.

LCM of 924,6924 is 533148 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4773,9140

GCF of Fractions 4773/924,9140/6924 is 1/533148

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4773,9140 By Matching Biggest Common Factor Method

Greatest Common Factor of 4773,9140 By Matching Biggest Common Factor Method

Factors of 4773

List of positive integer factors of 4773 that divides 4773 without a remainder.

1,3,37,43,111,129,1591,4773

Factors of 9140

List of positive integer factors of 9140 that divides 9140 without a remainder.

1,2,4,5,10,20,457,914,1828,2285,4570,9140

Greatest Common Factor

We found the factors 4773,9140 . The biggest common factor number is the GCF number.
So the greatest common factor 4773,9140 is 1.

Lets's calculate LCM of 924,6924

2 924, 6924
2 462, 3462
3 231, 1731
77, 577

∴ So the LCM of the given numbers is 2 x 2 x 3 x 77 x 577 = 533148

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/533148

Therefore, the GCF of Fractions 4773/924,9140/6924 is 1/533148

Least Common Multiple of 924,6924 with GCF Formula

Least Common Multiple of 924,6924 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 924,6924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(924,6924) = 12

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

GCF(924,6924) x common factors =12 x 1 = 12

LCM(924,6924) = ( 924 × 6924 ) / 12

LCM(924,6924) = 6397776 / 12

LCM(924,6924) = 533148


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 4773/924, 9140/6924

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 4773/924, 9140/6924?

Answer: GCF of Numerators as per given numbers 4773/924, 9140/6924 is

GCF of Numerators i.e. for 4773,9140 is 1

LCM of denominators i.e. for 924,6924 is 533148.

Thus, GCF of Fractions is 1/533148.Finally, GCF of Fractions for 4773/924, 9140/6924 is 1/533148.