Greatest Common Factor of 86/970, 24/287, 335/474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 86/970, 24/287, 335/474

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 86/970,24/287,335/474

Given fractions are 86/970,24/287,335/474

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 86,24,335

Greatest Common Factor of Numerators i.e. GCF of 86,24,335 is 1 .

LCM of Denominators means LCM of 970,287,474 as per the given fractions.

LCM of 970,287,474 is 65978430 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 86,24,335

GCF of Fractions 86/970,24/287,335/474 is 1/65978430

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

Greatest Common Factor of 86,24,335 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,24,335 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Greatest Common Factor

We found the factors 86,24,335 . The biggest common factor number is the GCF number.
So the greatest common factor 86,24,335 is 1.

Lets's calculate LCM of 970,287,474

2 970, 287, 474
485, 287, 237

∴ So the LCM of the given numbers is 2 x 485 x 287 x 237 = 65978430

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65978430

Therefore, the GCF of Fractions 86/970,24/287,335/474 is 1/65978430

Least Common Multiple of 970,287,474 with GCF Formula

Least Common Multiple of 970,287,474 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 970,287,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(970,287,474) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(970,287,474) x common factors =1 x 2 = 2

LCM(970,287,474) = ( 970 × 287 × 474 ) / 2

LCM(970,287,474) = 131956860 / 2

LCM(970,287,474) = 65978430


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 86/970, 24/287, 335/474

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 86/970, 24/287, 335/474?

Answer: GCF of Numerators as per given numbers 86/970, 24/287, 335/474 is

GCF of Numerators i.e. for 86,24,335 is 1

LCM of denominators i.e. for 970,287,474 is 65978430.

Thus, GCF of Fractions is 1/65978430.Finally, GCF of Fractions for 86/970, 24/287, 335/474 is 1/65978430.