Greatest Common Factor of 674/23, 250/79, 977/564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 674/23, 250/79, 977/564

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 674/23,250/79,977/564

Given fractions are 674/23,250/79,977/564

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 674,250,977

Greatest Common Factor of Numerators i.e. GCF of 674,250,977 is 1 .

LCM of Denominators means LCM of 23,79,564 as per the given fractions.

LCM of 23,79,564 is 1024788 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 674,250,977

GCF of Fractions 674/23,250/79,977/564 is 1/1024788

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

Greatest Common Factor of 674,250,977 By Matching Biggest Common Factor Method

Greatest Common Factor of 674,250,977 By Matching Biggest Common Factor Method

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1,977

Greatest Common Factor

We found the factors 674,250,977 . The biggest common factor number is the GCF number.
So the greatest common factor 674,250,977 is 1.

Lets's calculate LCM of 23,79,564

Given numbers has no common factors except 1. So, there LCM is their product i.e 1024788

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1024788

Therefore, the GCF of Fractions 674/23,250/79,977/564 is 1/1024788

Least Common Multiple of 23,79,564 with GCF Formula

Least Common Multiple of 23,79,564 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 23,79,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,79,564) = 1

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

GCF(23,79,564) x common factors =1 x 1 = 1

LCM(23,79,564) = ( 23 × 79 × 564 ) / 1

LCM(23,79,564) = 1024788 / 1

LCM(23,79,564) = 1024788


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 674/23, 250/79, 977/564

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 674/23, 250/79, 977/564?

Answer: GCF of Numerators as per given numbers 674/23, 250/79, 977/564 is

GCF of Numerators i.e. for 674,250,977 is 1

LCM of denominators i.e. for 23,79,564 is 1024788.

Thus, GCF of Fractions is 1/1024788.Finally, GCF of Fractions for 674/23, 250/79, 977/564 is 1/1024788.