Greatest Common Factor of 476/9832, 273/6925

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 476/9832, 273/6925

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 476/9832,273/6925

Given fractions are 476/9832,273/6925

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 476,273

Greatest Common Factor of Numerators i.e. GCF of 476,273 is 7 .

LCM of Denominators means LCM of 9832,6925 as per the given fractions.

LCM of 9832,6925 is 68086600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 476,273

GCF of Fractions 476/9832,273/6925 is 7/68086600

7 476, 273
68, 39

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 476,273 By Matching Biggest Common Factor Method

Greatest Common Factor of 476,273 By Matching Biggest Common Factor Method

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Greatest Common Factor

We found the factors 476,273 . The biggest common factor number is the GCF number.
So the greatest common factor 476,273 is 7.

Lets's calculate LCM of 9832,6925

Given numbers has no common factors except 1. So, there LCM is their product i.e 68086600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/68086600

Therefore, the GCF of Fractions 476/9832,273/6925 is 7/68086600

Least Common Multiple of 9832,6925 with GCF Formula

Least Common Multiple of 9832,6925 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 9832,6925 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9832,6925) = 1

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

GCF(9832,6925) x common factors =1 x 1 = 1

LCM(9832,6925) = ( 9832 × 6925 ) / 1

LCM(9832,6925) = 68086600 / 1

LCM(9832,6925) = 68086600


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 476/9832, 273/6925

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 476/9832, 273/6925?

Answer: GCF of Numerators as per given numbers 476/9832, 273/6925 is

GCF of Numerators i.e. for 476,273 is 7

LCM of denominators i.e. for 9832,6925 is 68086600.

Thus, GCF of Fractions is 7/68086600.Finally, GCF of Fractions for 476/9832, 273/6925 is 7/68086600.