Greatest Common Factor of 9773/20, 3431/761

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9773/20, 3431/761

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 9773/20,3431/761

Given fractions are 9773/20,3431/761

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 9773,3431

Greatest Common Factor of Numerators i.e. GCF of 9773,3431 is 1 .

LCM of Denominators means LCM of 20,761 as per the given fractions.

LCM of 20,761 is 15220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9773,3431

GCF of Fractions 9773/20,3431/761 is 1/15220

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

Greatest Common Factor of 9773,3431 By Matching Biggest Common Factor Method

Greatest Common Factor of 9773,3431 By Matching Biggest Common Factor Method

Factors of 9773

List of positive integer factors of 9773 that divides 9773 without a remainder.

1,29,337,9773

Factors of 3431

List of positive integer factors of 3431 that divides 3431 without a remainder.

1,47,73,3431

Greatest Common Factor

We found the factors 9773,3431 . The biggest common factor number is the GCF number.
So the greatest common factor 9773,3431 is 1.

Lets's calculate LCM of 20,761

Given numbers has no common factors except 1. So, there LCM is their product i.e 15220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15220

Therefore, the GCF of Fractions 9773/20,3431/761 is 1/15220

Least Common Multiple of 20,761 with GCF Formula

Least Common Multiple of 20,761 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 20,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,761) = 1

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

GCF(20,761) x common factors =1 x 1 = 1

LCM(20,761) = ( 20 × 761 ) / 1

LCM(20,761) = 15220 / 1

LCM(20,761) = 15220


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 9773/20, 3431/761

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 9773/20, 3431/761?

Answer: GCF of Numerators as per given numbers 9773/20, 3431/761 is

GCF of Numerators i.e. for 9773,3431 is 1

LCM of denominators i.e. for 20,761 is 15220.

Thus, GCF of Fractions is 1/15220.Finally, GCF of Fractions for 9773/20, 3431/761 is 1/15220.