Greatest Common Factor of 86/89, 153/75, 929/424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 86/89, 153/75, 929/424

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 86/89,153/75,929/424

Given fractions are 86/89,153/75,929/424

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 86,153,929

Greatest Common Factor of Numerators i.e. GCF of 86,153,929 is 1 .

LCM of Denominators means LCM of 89,75,424 as per the given fractions.

LCM of 89,75,424 is 2830200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 86,153,929

GCF of Fractions 86/89,153/75,929/424 is 1/2830200

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

Greatest Common Factor of 86,153,929 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,153,929 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 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Factors of 929

List of positive integer factors of 929 that divides 929 without a remainder.

1,929

Greatest Common Factor

We found the factors 86,153,929 . The biggest common factor number is the GCF number.
So the greatest common factor 86,153,929 is 1.

Lets's calculate LCM of 89,75,424

Given numbers has no common factors except 1. So, there LCM is their product i.e 2830200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2830200

Therefore, the GCF of Fractions 86/89,153/75,929/424 is 1/2830200

Least Common Multiple of 89,75,424 with GCF Formula

Least Common Multiple of 89,75,424 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 89,75,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,75,424) = 1

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

GCF(89,75,424) x common factors =1 x 1 = 1

LCM(89,75,424) = ( 89 × 75 × 424 ) / 1

LCM(89,75,424) = 2830200 / 1

LCM(89,75,424) = 2830200


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 86/89, 153/75, 929/424

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 86/89, 153/75, 929/424?

Answer: GCF of Numerators as per given numbers 86/89, 153/75, 929/424 is

GCF of Numerators i.e. for 86,153,929 is 1

LCM of denominators i.e. for 89,75,424 is 2830200.

Thus, GCF of Fractions is 1/2830200.Finally, GCF of Fractions for 86/89, 153/75, 929/424 is 1/2830200.