Greatest Common Factor of 9671/257, 8497/740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9671/257, 8497/740

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 9671/257,8497/740

Given fractions are 9671/257,8497/740

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 9671,8497

Greatest Common Factor of Numerators i.e. GCF of 9671,8497 is 1 .

LCM of Denominators means LCM of 257,740 as per the given fractions.

LCM of 257,740 is 190180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9671,8497

GCF of Fractions 9671/257,8497/740 is 1/190180

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

Greatest Common Factor of 9671,8497 By Matching Biggest Common Factor Method

Greatest Common Factor of 9671,8497 By Matching Biggest Common Factor Method

Factors of 9671

List of positive integer factors of 9671 that divides 9671 without a remainder.

1,19,509,9671

Factors of 8497

List of positive integer factors of 8497 that divides 8497 without a remainder.

1,29,293,8497

Greatest Common Factor

We found the factors 9671,8497 . The biggest common factor number is the GCF number.
So the greatest common factor 9671,8497 is 1.

Lets's calculate LCM of 257,740

Given numbers has no common factors except 1. So, there LCM is their product i.e 190180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/190180

Therefore, the GCF of Fractions 9671/257,8497/740 is 1/190180

Least Common Multiple of 257,740 with GCF Formula

Least Common Multiple of 257,740 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 257,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(257,740) = 1

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

GCF(257,740) x common factors =1 x 1 = 1

LCM(257,740) = ( 257 × 740 ) / 1

LCM(257,740) = 190180 / 1

LCM(257,740) = 190180


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 9671/257, 8497/740

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 9671/257, 8497/740?

Answer: GCF of Numerators as per given numbers 9671/257, 8497/740 is

GCF of Numerators i.e. for 9671,8497 is 1

LCM of denominators i.e. for 257,740 is 190180.

Thus, GCF of Fractions is 1/190180.Finally, GCF of Fractions for 9671/257, 8497/740 is 1/190180.