Greatest Common Factor of 9695/59, 8782/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9695/59, 8782/480

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 9695/59,8782/480

Given fractions are 9695/59,8782/480

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 9695,8782

Greatest Common Factor of Numerators i.e. GCF of 9695,8782 is 1 .

LCM of Denominators means LCM of 59,480 as per the given fractions.

LCM of 59,480 is 28320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9695,8782

GCF of Fractions 9695/59,8782/480 is 1/28320

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

Greatest Common Factor of 9695,8782 By Matching Biggest Common Factor Method

Greatest Common Factor of 9695,8782 By Matching Biggest Common Factor Method

Factors of 9695

List of positive integer factors of 9695 that divides 9695 without a remainder.

1,5,7,35,277,1385,1939,9695

Factors of 8782

List of positive integer factors of 8782 that divides 8782 without a remainder.

1,2,4391,8782

Greatest Common Factor

We found the factors 9695,8782 . The biggest common factor number is the GCF number.
So the greatest common factor 9695,8782 is 1.

Lets's calculate LCM of 59,480

Given numbers has no common factors except 1. So, there LCM is their product i.e 28320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28320

Therefore, the GCF of Fractions 9695/59,8782/480 is 1/28320

Least Common Multiple of 59,480 with GCF Formula

Least Common Multiple of 59,480 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 59,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,480) = 1

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

GCF(59,480) x common factors =1 x 1 = 1

LCM(59,480) = ( 59 × 480 ) / 1

LCM(59,480) = 28320 / 1

LCM(59,480) = 28320


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 9695/59, 8782/480

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 9695/59, 8782/480?

Answer: GCF of Numerators as per given numbers 9695/59, 8782/480 is

GCF of Numerators i.e. for 9695,8782 is 1

LCM of denominators i.e. for 59,480 is 28320.

Thus, GCF of Fractions is 1/28320.Finally, GCF of Fractions for 9695/59, 8782/480 is 1/28320.