Greatest Common Factor of 4674/14, 9644/273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4674/14, 9644/273

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 4674/14,9644/273

Given fractions are 4674/14,9644/273

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 4674,9644

Greatest Common Factor of Numerators i.e. GCF of 4674,9644 is 2 .

LCM of Denominators means LCM of 14,273 as per the given fractions.

LCM of 14,273 is 546 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4674,9644

GCF of Fractions 4674/14,9644/273 is 2/546

2 4674, 9644
2337, 4822

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

Greatest Common Factor of 4674,9644 By Matching Biggest Common Factor Method

Greatest Common Factor of 4674,9644 By Matching Biggest Common Factor Method

Factors of 4674

List of positive integer factors of 4674 that divides 4674 without a remainder.

1,2,3,6,19,38,41,57,82,114,123,246,779,1558,2337,4674

Factors of 9644

List of positive integer factors of 9644 that divides 9644 without a remainder.

1,2,4,2411,4822,9644

Greatest Common Factor

We found the factors 4674,9644 . The biggest common factor number is the GCF number.
So the greatest common factor 4674,9644 is 2.

Lets's calculate LCM of 14,273

7 14, 273
2, 39

∴ So the LCM of the given numbers is 7 x 2 x 39 = 546

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/546

Therefore, the GCF of Fractions 4674/14,9644/273 is 2/546

Least Common Multiple of 14,273 with GCF Formula

Least Common Multiple of 14,273 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 14,273 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,273) = 7

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

GCF(14,273) x common factors =7 x 1 = 7

LCM(14,273) = ( 14 × 273 ) / 7

LCM(14,273) = 3822 / 7

LCM(14,273) = 546


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 4674/14, 9644/273

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 4674/14, 9644/273?

Answer: GCF of Numerators as per given numbers 4674/14, 9644/273 is

GCF of Numerators i.e. for 4674,9644 is 2

LCM of denominators i.e. for 14,273 is 546.

Thus, GCF of Fractions is 2/546.Finally, GCF of Fractions for 4674/14, 9644/273 is 2/546.