Greatest Common Factor of 8531/90, 9445/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8531/90, 9445/658

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 8531/90,9445/658

Given fractions are 8531/90,9445/658

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 8531,9445

Greatest Common Factor of Numerators i.e. GCF of 8531,9445 is 1 .

LCM of Denominators means LCM of 90,658 as per the given fractions.

LCM of 90,658 is 29610 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8531,9445

GCF of Fractions 8531/90,9445/658 is 1/29610

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

Greatest Common Factor of 8531,9445 By Matching Biggest Common Factor Method

Greatest Common Factor of 8531,9445 By Matching Biggest Common Factor Method

Factors of 8531

List of positive integer factors of 8531 that divides 8531 without a remainder.

1,19,449,8531

Factors of 9445

List of positive integer factors of 9445 that divides 9445 without a remainder.

1,5,1889,9445

Greatest Common Factor

We found the factors 8531,9445 . The biggest common factor number is the GCF number.
So the greatest common factor 8531,9445 is 1.

Lets's calculate LCM of 90,658

2 90, 658
45, 329

∴ So the LCM of the given numbers is 2 x 45 x 329 = 29610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29610

Therefore, the GCF of Fractions 8531/90,9445/658 is 1/29610

Least Common Multiple of 90,658 with GCF Formula

Least Common Multiple of 90,658 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 90,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,658) = 2

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

GCF(90,658) x common factors =2 x 1 = 2

LCM(90,658) = ( 90 × 658 ) / 2

LCM(90,658) = 59220 / 2

LCM(90,658) = 29610


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 8531/90, 9445/658

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 8531/90, 9445/658?

Answer: GCF of Numerators as per given numbers 8531/90, 9445/658 is

GCF of Numerators i.e. for 8531,9445 is 1

LCM of denominators i.e. for 90,658 is 29610.

Thus, GCF of Fractions is 1/29610.Finally, GCF of Fractions for 8531/90, 9445/658 is 1/29610.