Greatest Common Factor of 852/94, 474/3908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 852/94, 474/3908

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 852/94,474/3908

Given fractions are 852/94,474/3908

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 852,474

Greatest Common Factor of Numerators i.e. GCF of 852,474 is 6 .

LCM of Denominators means LCM of 94,3908 as per the given fractions.

LCM of 94,3908 is 183676 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 852,474

GCF of Fractions 852/94,474/3908 is 6/183676

2 852, 474
3 426, 237
142, 79

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 852,474 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,474 By Matching Biggest Common Factor Method

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Greatest Common Factor

We found the factors 852,474 . The biggest common factor number is the GCF number.
So the greatest common factor 852,474 is 6.

Lets's calculate LCM of 94,3908

2 94, 3908
47, 1954

∴ So the LCM of the given numbers is 2 x 47 x 1954 = 183676

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/183676

Therefore, the GCF of Fractions 852/94,474/3908 is 6/183676

Least Common Multiple of 94,3908 with GCF Formula

Least Common Multiple of 94,3908 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 94,3908 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,3908) = 2

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

GCF(94,3908) x common factors =2 x 1 = 2

LCM(94,3908) = ( 94 × 3908 ) / 2

LCM(94,3908) = 367352 / 2

LCM(94,3908) = 183676


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 852/94, 474/3908

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 852/94, 474/3908?

Answer: GCF of Numerators as per given numbers 852/94, 474/3908 is

GCF of Numerators i.e. for 852,474 is 6

LCM of denominators i.e. for 94,3908 is 183676.

Thus, GCF of Fractions is 6/183676.Finally, GCF of Fractions for 852/94, 474/3908 is 6/183676.