Greatest Common Factor of 9721/923, 6314/6739

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9721/923, 6314/6739

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 9721/923,6314/6739

Given fractions are 9721/923,6314/6739

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 9721,6314

Greatest Common Factor of Numerators i.e. GCF of 9721,6314 is 1 .

LCM of Denominators means LCM of 923,6739 as per the given fractions.

LCM of 923,6739 is 6220097 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9721,6314

GCF of Fractions 9721/923,6314/6739 is 1/6220097

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

Greatest Common Factor of 9721,6314 By Matching Biggest Common Factor Method

Greatest Common Factor of 9721,6314 By Matching Biggest Common Factor Method

Factors of 9721

List of positive integer factors of 9721 that divides 9721 without a remainder.

1,9721

Factors of 6314

List of positive integer factors of 6314 that divides 6314 without a remainder.

1,2,7,11,14,22,41,77,82,154,287,451,574,902,3157,6314

Greatest Common Factor

We found the factors 9721,6314 . The biggest common factor number is the GCF number.
So the greatest common factor 9721,6314 is 1.

Lets's calculate LCM of 923,6739

Given numbers has no common factors except 1. So, there LCM is their product i.e 6220097

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6220097

Therefore, the GCF of Fractions 9721/923,6314/6739 is 1/6220097

Least Common Multiple of 923,6739 with GCF Formula

Least Common Multiple of 923,6739 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 923,6739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(923,6739) = 1

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

GCF(923,6739) x common factors =1 x 1 = 1

LCM(923,6739) = ( 923 × 6739 ) / 1

LCM(923,6739) = 6220097 / 1

LCM(923,6739) = 6220097


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 9721/923, 6314/6739

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 9721/923, 6314/6739?

Answer: GCF of Numerators as per given numbers 9721/923, 6314/6739 is

GCF of Numerators i.e. for 9721,6314 is 1

LCM of denominators i.e. for 923,6739 is 6220097.

Thus, GCF of Fractions is 1/6220097.Finally, GCF of Fractions for 9721/923, 6314/6739 is 1/6220097.