Greatest Common Factor of 9717/271, 5428/8770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9717/271, 5428/8770

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 9717/271,5428/8770

Given fractions are 9717/271,5428/8770

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 9717,5428

Greatest Common Factor of Numerators i.e. GCF of 9717,5428 is 1 .

LCM of Denominators means LCM of 271,8770 as per the given fractions.

LCM of 271,8770 is 2376670 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9717,5428

GCF of Fractions 9717/271,5428/8770 is 1/2376670

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

Greatest Common Factor of 9717,5428 By Matching Biggest Common Factor Method

Greatest Common Factor of 9717,5428 By Matching Biggest Common Factor Method

Factors of 9717

List of positive integer factors of 9717 that divides 9717 without a remainder.

1,3,41,79,123,237,3239,9717

Factors of 5428

List of positive integer factors of 5428 that divides 5428 without a remainder.

1,2,4,23,46,59,92,118,236,1357,2714,5428

Greatest Common Factor

We found the factors 9717,5428 . The biggest common factor number is the GCF number.
So the greatest common factor 9717,5428 is 1.

Lets's calculate LCM of 271,8770

Given numbers has no common factors except 1. So, there LCM is their product i.e 2376670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2376670

Therefore, the GCF of Fractions 9717/271,5428/8770 is 1/2376670

Least Common Multiple of 271,8770 with GCF Formula

Least Common Multiple of 271,8770 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 271,8770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(271,8770) = 1

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

GCF(271,8770) x common factors =1 x 1 = 1

LCM(271,8770) = ( 271 × 8770 ) / 1

LCM(271,8770) = 2376670 / 1

LCM(271,8770) = 2376670


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 9717/271, 5428/8770

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 9717/271, 5428/8770?

Answer: GCF of Numerators as per given numbers 9717/271, 5428/8770 is

GCF of Numerators i.e. for 9717,5428 is 1

LCM of denominators i.e. for 271,8770 is 2376670.

Thus, GCF of Fractions is 1/2376670.Finally, GCF of Fractions for 9717/271, 5428/8770 is 1/2376670.