Greatest Common Factor of 9501/640, 8522/9569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9501/640, 8522/9569

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 9501/640,8522/9569

Given fractions are 9501/640,8522/9569

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 9501,8522

Greatest Common Factor of Numerators i.e. GCF of 9501,8522 is 1 .

LCM of Denominators means LCM of 640,9569 as per the given fractions.

LCM of 640,9569 is 6124160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9501,8522

GCF of Fractions 9501/640,8522/9569 is 1/6124160

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

Greatest Common Factor of 9501,8522 By Matching Biggest Common Factor Method

Greatest Common Factor of 9501,8522 By Matching Biggest Common Factor Method

Factors of 9501

List of positive integer factors of 9501 that divides 9501 without a remainder.

1,3,3167,9501

Factors of 8522

List of positive integer factors of 8522 that divides 8522 without a remainder.

1,2,4261,8522

Greatest Common Factor

We found the factors 9501,8522 . The biggest common factor number is the GCF number.
So the greatest common factor 9501,8522 is 1.

Lets's calculate LCM of 640,9569

Given numbers has no common factors except 1. So, there LCM is their product i.e 6124160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6124160

Therefore, the GCF of Fractions 9501/640,8522/9569 is 1/6124160

Least Common Multiple of 640,9569 with GCF Formula

Least Common Multiple of 640,9569 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 640,9569 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(640,9569) = 1

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

GCF(640,9569) x common factors =1 x 1 = 1

LCM(640,9569) = ( 640 × 9569 ) / 1

LCM(640,9569) = 6124160 / 1

LCM(640,9569) = 6124160


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 9501/640, 8522/9569

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 9501/640, 8522/9569?

Answer: GCF of Numerators as per given numbers 9501/640, 8522/9569 is

GCF of Numerators i.e. for 9501,8522 is 1

LCM of denominators i.e. for 640,9569 is 6124160.

Thus, GCF of Fractions is 1/6124160.Finally, GCF of Fractions for 9501/640, 8522/9569 is 1/6124160.