Greatest Common Factor of 476/504, 2958/6913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 476/504, 2958/6913

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 476/504,2958/6913

Given fractions are 476/504,2958/6913

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 476,2958

Greatest Common Factor of Numerators i.e. GCF of 476,2958 is 34 .

LCM of Denominators means LCM of 504,6913 as per the given fractions.

LCM of 504,6913 is 3484152 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 476,2958

GCF of Fractions 476/504,2958/6913 is 34/3484152

2 476, 2958
17 238, 1479
14, 87

∴ So the GCF of the given numbers is 2 x 17 = 34

Greatest Common Factor of 476,2958 By Matching Biggest Common Factor Method

Greatest Common Factor of 476,2958 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 2958

List of positive integer factors of 2958 that divides 2958 without a remainder.

1,2,3,6,17,29,34,51,58,87,102,174,493,986,1479,2958

Greatest Common Factor

We found the factors 476,2958 . The biggest common factor number is the GCF number.
So the greatest common factor 476,2958 is 34.

Lets's calculate LCM of 504,6913

Given numbers has no common factors except 1. So, there LCM is their product i.e 3484152

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/3484152

Therefore, the GCF of Fractions 476/504,2958/6913 is 34/3484152

Least Common Multiple of 504,6913 with GCF Formula

Least Common Multiple of 504,6913 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 504,6913 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,6913) = 1

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

GCF(504,6913) x common factors =1 x 1 = 1

LCM(504,6913) = ( 504 × 6913 ) / 1

LCM(504,6913) = 3484152 / 1

LCM(504,6913) = 3484152


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 476/504, 2958/6913

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 476/504, 2958/6913?

Answer: GCF of Numerators as per given numbers 476/504, 2958/6913 is

GCF of Numerators i.e. for 476,2958 is 34

LCM of denominators i.e. for 504,6913 is 3484152.

Thus, GCF of Fractions is 34/3484152.Finally, GCF of Fractions for 476/504, 2958/6913 is 34/3484152.