Greatest Common Factor of 9620/489, 5797/807

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9620/489, 5797/807

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 9620/489,5797/807

Given fractions are 9620/489,5797/807

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 9620,5797

Greatest Common Factor of Numerators i.e. GCF of 9620,5797 is 1 .

LCM of Denominators means LCM of 489,807 as per the given fractions.

LCM of 489,807 is 131541 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9620,5797

GCF of Fractions 9620/489,5797/807 is 1/131541

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

Greatest Common Factor of 9620,5797 By Matching Biggest Common Factor Method

Greatest Common Factor of 9620,5797 By Matching Biggest Common Factor Method

Factors of 9620

List of positive integer factors of 9620 that divides 9620 without a remainder.

1,2,4,5,10,13,20,26,37,52,65,74,130,148,185,260,370,481,740,962,1924,2405,4810,9620

Factors of 5797

List of positive integer factors of 5797 that divides 5797 without a remainder.

1,11,17,31,187,341,527,5797

Greatest Common Factor

We found the factors 9620,5797 . The biggest common factor number is the GCF number.
So the greatest common factor 9620,5797 is 1.

Lets's calculate LCM of 489,807

3 489, 807
163, 269

∴ So the LCM of the given numbers is 3 x 163 x 269 = 131541

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/131541

Therefore, the GCF of Fractions 9620/489,5797/807 is 1/131541

Least Common Multiple of 489,807 with GCF Formula

Least Common Multiple of 489,807 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 489,807 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(489,807) = 3

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

GCF(489,807) x common factors =3 x 1 = 3

LCM(489,807) = ( 489 × 807 ) / 3

LCM(489,807) = 394623 / 3

LCM(489,807) = 131541


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 9620/489, 5797/807

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 9620/489, 5797/807?

Answer: GCF of Numerators as per given numbers 9620/489, 5797/807 is

GCF of Numerators i.e. for 9620,5797 is 1

LCM of denominators i.e. for 489,807 is 131541.

Thus, GCF of Fractions is 1/131541.Finally, GCF of Fractions for 9620/489, 5797/807 is 1/131541.