Greatest Common Factor of 9409/894, 8962/932

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9409/894, 8962/932

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 9409/894,8962/932

Given fractions are 9409/894,8962/932

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 9409,8962

Greatest Common Factor of Numerators i.e. GCF of 9409,8962 is 1 .

LCM of Denominators means LCM of 894,932 as per the given fractions.

LCM of 894,932 is 416604 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9409,8962

GCF of Fractions 9409/894,8962/932 is 1/416604

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

Greatest Common Factor of 9409,8962 By Matching Biggest Common Factor Method

Greatest Common Factor of 9409,8962 By Matching Biggest Common Factor Method

Factors of 9409

List of positive integer factors of 9409 that divides 9409 without a remainder.

1,97,9409

Factors of 8962

List of positive integer factors of 8962 that divides 8962 without a remainder.

1,2,4481,8962

Greatest Common Factor

We found the factors 9409,8962 . The biggest common factor number is the GCF number.
So the greatest common factor 9409,8962 is 1.

Lets's calculate LCM of 894,932

2 894, 932
447, 466

∴ So the LCM of the given numbers is 2 x 447 x 466 = 416604

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/416604

Therefore, the GCF of Fractions 9409/894,8962/932 is 1/416604

Least Common Multiple of 894,932 with GCF Formula

Least Common Multiple of 894,932 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 894,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(894,932) = 2

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

GCF(894,932) x common factors =2 x 1 = 2

LCM(894,932) = ( 894 × 932 ) / 2

LCM(894,932) = 833208 / 2

LCM(894,932) = 416604


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 9409/894, 8962/932

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 9409/894, 8962/932?

Answer: GCF of Numerators as per given numbers 9409/894, 8962/932 is

GCF of Numerators i.e. for 9409,8962 is 1

LCM of denominators i.e. for 894,932 is 416604.

Thus, GCF of Fractions is 1/416604.Finally, GCF of Fractions for 9409/894, 8962/932 is 1/416604.