Greatest Common Factor of 5321/18, 8778/662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5321/18, 8778/662

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 5321/18,8778/662

Given fractions are 5321/18,8778/662

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 5321,8778

Greatest Common Factor of Numerators i.e. GCF of 5321,8778 is 1 .

LCM of Denominators means LCM of 18,662 as per the given fractions.

LCM of 18,662 is 5958 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5321,8778

GCF of Fractions 5321/18,8778/662 is 1/5958

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

Greatest Common Factor of 5321,8778 By Matching Biggest Common Factor Method

Greatest Common Factor of 5321,8778 By Matching Biggest Common Factor Method

Factors of 5321

List of positive integer factors of 5321 that divides 5321 without a remainder.

1,17,313,5321

Factors of 8778

List of positive integer factors of 8778 that divides 8778 without a remainder.

1,2,3,6,7,11,14,19,21,22,33,38,42,57,66,77,114,133,154,209,231,266,399,418,462,627,798,1254,1463,2926,4389,8778

Greatest Common Factor

We found the factors 5321,8778 . The biggest common factor number is the GCF number.
So the greatest common factor 5321,8778 is 1.

Lets's calculate LCM of 18,662

2 18, 662
9, 331

∴ So the LCM of the given numbers is 2 x 9 x 331 = 5958

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5958

Therefore, the GCF of Fractions 5321/18,8778/662 is 1/5958

Least Common Multiple of 18,662 with GCF Formula

Least Common Multiple of 18,662 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 18,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,662) = 2

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

GCF(18,662) x common factors =2 x 1 = 2

LCM(18,662) = ( 18 × 662 ) / 2

LCM(18,662) = 11916 / 2

LCM(18,662) = 5958


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 5321/18, 8778/662

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 5321/18, 8778/662?

Answer: GCF of Numerators as per given numbers 5321/18, 8778/662 is

GCF of Numerators i.e. for 5321,8778 is 1

LCM of denominators i.e. for 18,662 is 5958.

Thus, GCF of Fractions is 1/5958.Finally, GCF of Fractions for 5321/18, 8778/662 is 1/5958.