Greatest Common Factor of 8452/74, 2113/474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8452/74, 2113/474

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 8452/74,2113/474

Given fractions are 8452/74,2113/474

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 8452,2113

Greatest Common Factor of Numerators i.e. GCF of 8452,2113 is 2113 .

LCM of Denominators means LCM of 74,474 as per the given fractions.

LCM of 74,474 is 17538 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8452,2113

GCF of Fractions 8452/74,2113/474 is 2113/17538

2113 8452, 2113
4, 1

∴ So the GCF of the given numbers is 2113 = 2113

Greatest Common Factor of 8452,2113 By Matching Biggest Common Factor Method

Greatest Common Factor of 8452,2113 By Matching Biggest Common Factor Method

Factors of 8452

List of positive integer factors of 8452 that divides 8452 without a remainder.

1,2,4,2113,4226,8452

Factors of 2113

List of positive integer factors of 2113 that divides 2113 without a remainder.

1,2113

Greatest Common Factor

We found the factors 8452,2113 . The biggest common factor number is the GCF number.
So the greatest common factor 8452,2113 is 2113.

Lets's calculate LCM of 74,474

2 74, 474
37, 237

∴ So the LCM of the given numbers is 2 x 37 x 237 = 17538

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2113/17538

Therefore, the GCF of Fractions 8452/74,2113/474 is 2113/17538

Least Common Multiple of 74,474 with GCF Formula

Least Common Multiple of 74,474 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 74,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,474) = 2

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

GCF(74,474) x common factors =2 x 1 = 2

LCM(74,474) = ( 74 × 474 ) / 2

LCM(74,474) = 35076 / 2

LCM(74,474) = 17538


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 8452/74, 2113/474

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 8452/74, 2113/474?

Answer: GCF of Numerators as per given numbers 8452/74, 2113/474 is

GCF of Numerators i.e. for 8452,2113 is 2113

LCM of denominators i.e. for 74,474 is 17538.

Thus, GCF of Fractions is 2113/17538.Finally, GCF of Fractions for 8452/74, 2113/474 is 2113/17538.