Greatest Common Factor of 974/24, 345/878

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 974/24, 345/878

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 974/24,345/878

Given fractions are 974/24,345/878

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 974,345

Greatest Common Factor of Numerators i.e. GCF of 974,345 is 1 .

LCM of Denominators means LCM of 24,878 as per the given fractions.

LCM of 24,878 is 10536 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 974,345

GCF of Fractions 974/24,345/878 is 1/10536

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

Greatest Common Factor of 974,345 By Matching Biggest Common Factor Method

Greatest Common Factor of 974,345 By Matching Biggest Common Factor Method

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Greatest Common Factor

We found the factors 974,345 . The biggest common factor number is the GCF number.
So the greatest common factor 974,345 is 1.

Lets's calculate LCM of 24,878

2 24, 878
12, 439

∴ So the LCM of the given numbers is 2 x 12 x 439 = 10536

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10536

Therefore, the GCF of Fractions 974/24,345/878 is 1/10536

Least Common Multiple of 24,878 with GCF Formula

Least Common Multiple of 24,878 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 24,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,878) = 2

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

GCF(24,878) x common factors =2 x 1 = 2

LCM(24,878) = ( 24 × 878 ) / 2

LCM(24,878) = 21072 / 2

LCM(24,878) = 10536


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 974/24, 345/878

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 974/24, 345/878?

Answer: GCF of Numerators as per given numbers 974/24, 345/878 is

GCF of Numerators i.e. for 974,345 is 1

LCM of denominators i.e. for 24,878 is 10536.

Thus, GCF of Fractions is 1/10536.Finally, GCF of Fractions for 974/24, 345/878 is 1/10536.