Greatest Common Factor of 974/96, 354/96, 467/466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 974/96, 354/96, 467/466

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 974/96,354/96,467/466

Given fractions are 974/96,354/96,467/466

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 974,354,467

Greatest Common Factor of Numerators i.e. GCF of 974,354,467 is 1 .

LCM of Denominators means LCM of 96,96,466 as per the given fractions.

LCM of 96,96,466 is 22368 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 974,354,467

GCF of Fractions 974/96,354/96,467/466 is 1/22368

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

Greatest Common Factor of 974,354,467 By Matching Biggest Common Factor Method

Greatest Common Factor of 974,354,467 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 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

Greatest Common Factor

We found the factors 974,354,467 . The biggest common factor number is the GCF number.
So the greatest common factor 974,354,467 is 1.

Lets's calculate LCM of 96,96,466

2 96, 96, 466
2 48, 48, 233
2 24, 24, 233
2 12, 12, 233
2 6, 6, 233
3 3, 3, 233
1, 1, 233

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 1 x 1 x 233 = 22368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22368

Therefore, the GCF of Fractions 974/96,354/96,467/466 is 1/22368

Least Common Multiple of 96,96,466 with GCF Formula

Least Common Multiple of 96,96,466 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 96,96,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,96,466) = 2

common factors(in case of two or more numbers have common factors) = 96

GCF(96,96,466) x common factors =2 x 96 = 192

LCM(96,96,466) = ( 96 × 96 × 466 ) / 192

LCM(96,96,466) = 4294656 / 192

LCM(96,96,466) = 22368


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 974/96, 354/96, 467/466

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 974/96, 354/96, 467/466?

Answer: GCF of Numerators as per given numbers 974/96, 354/96, 467/466 is

GCF of Numerators i.e. for 974,354,467 is 1

LCM of denominators i.e. for 96,96,466 is 22368.

Thus, GCF of Fractions is 1/22368.Finally, GCF of Fractions for 974/96, 354/96, 467/466 is 1/22368.