Greatest Common Factor of 474/11, 3950/167

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 474/11, 3950/167

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 474/11,3950/167

Given fractions are 474/11,3950/167

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 474,3950

Greatest Common Factor of Numerators i.e. GCF of 474,3950 is 158 .

LCM of Denominators means LCM of 11,167 as per the given fractions.

LCM of 11,167 is 1837 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 474,3950

GCF of Fractions 474/11,3950/167 is 158/1837

2 474, 3950
79 237, 1975
3, 25

∴ So the GCF of the given numbers is 2 x 79 = 158

Greatest Common Factor of 474,3950 By Matching Biggest Common Factor Method

Greatest Common Factor of 474,3950 By Matching Biggest Common Factor Method

Factors of 474

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

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

Factors of 3950

List of positive integer factors of 3950 that divides 3950 without a remainder.

1,2,5,10,25,50,79,158,395,790,1975,3950

Greatest Common Factor

We found the factors 474,3950 . The biggest common factor number is the GCF number.
So the greatest common factor 474,3950 is 158.

Lets's calculate LCM of 11,167

Given numbers has no common factors except 1. So, there LCM is their product i.e 1837

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 158/1837

Therefore, the GCF of Fractions 474/11,3950/167 is 158/1837

Least Common Multiple of 11,167 with GCF Formula

Least Common Multiple of 11,167 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 11,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,167) = 1

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

GCF(11,167) x common factors =1 x 1 = 1

LCM(11,167) = ( 11 × 167 ) / 1

LCM(11,167) = 1837 / 1

LCM(11,167) = 1837


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 474/11, 3950/167

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 474/11, 3950/167?

Answer: GCF of Numerators as per given numbers 474/11, 3950/167 is

GCF of Numerators i.e. for 474,3950 is 158

LCM of denominators i.e. for 11,167 is 1837.

Thus, GCF of Fractions is 158/1837.Finally, GCF of Fractions for 474/11, 3950/167 is 158/1837.