Greatest Common Factor of 974/624, 832/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 974/624, 832/398

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 974/624,832/398

Given fractions are 974/624,832/398

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 974,832

Greatest Common Factor of Numerators i.e. GCF of 974,832 is 2 .

LCM of Denominators means LCM of 624,398 as per the given fractions.

LCM of 624,398 is 124176 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 974,832

GCF of Fractions 974/624,832/398 is 2/124176

2 974, 832
487, 416

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 974,832 By Matching Biggest Common Factor Method

Greatest Common Factor of 974,832 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 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Greatest Common Factor

We found the factors 974,832 . The biggest common factor number is the GCF number.
So the greatest common factor 974,832 is 2.

Lets's calculate LCM of 624,398

2 624, 398
312, 199

∴ So the LCM of the given numbers is 2 x 312 x 199 = 124176

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/124176

Therefore, the GCF of Fractions 974/624,832/398 is 2/124176

Least Common Multiple of 624,398 with GCF Formula

Least Common Multiple of 624,398 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 624,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(624,398) = 2

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

GCF(624,398) x common factors =2 x 1 = 2

LCM(624,398) = ( 624 × 398 ) / 2

LCM(624,398) = 248352 / 2

LCM(624,398) = 124176


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 974/624, 832/398

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 974/624, 832/398?

Answer: GCF of Numerators as per given numbers 974/624, 832/398 is

GCF of Numerators i.e. for 974,832 is 2

LCM of denominators i.e. for 624,398 is 124176.

Thus, GCF of Fractions is 2/124176.Finally, GCF of Fractions for 974/624, 832/398 is 2/124176.