Greatest Common Factor of 113/67, 566/53, 187/354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 113/67, 566/53, 187/354

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 113/67,566/53,187/354

Given fractions are 113/67,566/53,187/354

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 113,566,187

Greatest Common Factor of Numerators i.e. GCF of 113,566,187 is 1 .

LCM of Denominators means LCM of 67,53,354 as per the given fractions.

LCM of 67,53,354 is 1257054 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 113,566,187

GCF of Fractions 113/67,566/53,187/354 is 1/1257054

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 113,566,187 By Matching Biggest Common Factor Method

Greatest Common Factor of 113,566,187 By Matching Biggest Common Factor Method

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1,113

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Greatest Common Factor

We found the factors 113,566,187 . The biggest common factor number is the GCF number.
So the greatest common factor 113,566,187 is 1.

Lets's calculate LCM of 67,53,354

Given numbers has no common factors except 1. So, there LCM is their product i.e 1257054

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1257054

Therefore, the GCF of Fractions 113/67,566/53,187/354 is 1/1257054

Least Common Multiple of 67,53,354 with GCF Formula

Least Common Multiple of 67,53,354 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 67,53,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,53,354) = 1

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

GCF(67,53,354) x common factors =1 x 1 = 1

LCM(67,53,354) = ( 67 × 53 × 354 ) / 1

LCM(67,53,354) = 1257054 / 1

LCM(67,53,354) = 1257054


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 113/67, 566/53, 187/354

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 113/67, 566/53, 187/354?

Answer: GCF of Numerators as per given numbers 113/67, 566/53, 187/354 is

GCF of Numerators i.e. for 113,566,187 is 1

LCM of denominators i.e. for 67,53,354 is 1257054.

Thus, GCF of Fractions is 1/1257054.Finally, GCF of Fractions for 113/67, 566/53, 187/354 is 1/1257054.