Greatest Common Factor of 9709/31, 4295/701

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9709/31, 4295/701

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 9709/31,4295/701

Given fractions are 9709/31,4295/701

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 9709,4295

Greatest Common Factor of Numerators i.e. GCF of 9709,4295 is 1 .

LCM of Denominators means LCM of 31,701 as per the given fractions.

LCM of 31,701 is 21731 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9709,4295

GCF of Fractions 9709/31,4295/701 is 1/21731

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

Greatest Common Factor of 9709,4295 By Matching Biggest Common Factor Method

Greatest Common Factor of 9709,4295 By Matching Biggest Common Factor Method

Factors of 9709

List of positive integer factors of 9709 that divides 9709 without a remainder.

1,7,19,73,133,511,1387,9709

Factors of 4295

List of positive integer factors of 4295 that divides 4295 without a remainder.

1,5,859,4295

Greatest Common Factor

We found the factors 9709,4295 . The biggest common factor number is the GCF number.
So the greatest common factor 9709,4295 is 1.

Lets's calculate LCM of 31,701

Given numbers has no common factors except 1. So, there LCM is their product i.e 21731

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21731

Therefore, the GCF of Fractions 9709/31,4295/701 is 1/21731

Least Common Multiple of 31,701 with GCF Formula

Least Common Multiple of 31,701 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 31,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,701) = 1

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

GCF(31,701) x common factors =1 x 1 = 1

LCM(31,701) = ( 31 × 701 ) / 1

LCM(31,701) = 21731 / 1

LCM(31,701) = 21731


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 9709/31, 4295/701

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 9709/31, 4295/701?

Answer: GCF of Numerators as per given numbers 9709/31, 4295/701 is

GCF of Numerators i.e. for 9709,4295 is 1

LCM of denominators i.e. for 31,701 is 21731.

Thus, GCF of Fractions is 1/21731.Finally, GCF of Fractions for 9709/31, 4295/701 is 1/21731.