Greatest Common Factor of 9778/481, 6517/3717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9778/481, 6517/3717

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 9778/481,6517/3717

Given fractions are 9778/481,6517/3717

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 9778,6517

Greatest Common Factor of Numerators i.e. GCF of 9778,6517 is 1 .

LCM of Denominators means LCM of 481,3717 as per the given fractions.

LCM of 481,3717 is 1787877 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9778,6517

GCF of Fractions 9778/481,6517/3717 is 1/1787877

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

Greatest Common Factor of 9778,6517 By Matching Biggest Common Factor Method

Greatest Common Factor of 9778,6517 By Matching Biggest Common Factor Method

Factors of 9778

List of positive integer factors of 9778 that divides 9778 without a remainder.

1,2,4889,9778

Factors of 6517

List of positive integer factors of 6517 that divides 6517 without a remainder.

1,7,19,49,133,343,931,6517

Greatest Common Factor

We found the factors 9778,6517 . The biggest common factor number is the GCF number.
So the greatest common factor 9778,6517 is 1.

Lets's calculate LCM of 481,3717

Given numbers has no common factors except 1. So, there LCM is their product i.e 1787877

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1787877

Therefore, the GCF of Fractions 9778/481,6517/3717 is 1/1787877

Least Common Multiple of 481,3717 with GCF Formula

Least Common Multiple of 481,3717 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 481,3717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(481,3717) = 1

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

GCF(481,3717) x common factors =1 x 1 = 1

LCM(481,3717) = ( 481 × 3717 ) / 1

LCM(481,3717) = 1787877 / 1

LCM(481,3717) = 1787877


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 9778/481, 6517/3717

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 9778/481, 6517/3717?

Answer: GCF of Numerators as per given numbers 9778/481, 6517/3717 is

GCF of Numerators i.e. for 9778,6517 is 1

LCM of denominators i.e. for 481,3717 is 1787877.

Thus, GCF of Fractions is 1/1787877.Finally, GCF of Fractions for 9778/481, 6517/3717 is 1/1787877.