Greatest Common Factor of 9318/60, 6774/883

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9318/60, 6774/883

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 9318/60,6774/883

Given fractions are 9318/60,6774/883

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 9318,6774

Greatest Common Factor of Numerators i.e. GCF of 9318,6774 is 6 .

LCM of Denominators means LCM of 60,883 as per the given fractions.

LCM of 60,883 is 52980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9318,6774

GCF of Fractions 9318/60,6774/883 is 6/52980

2 9318, 6774
3 4659, 3387
1553, 1129

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 9318,6774 By Matching Biggest Common Factor Method

Greatest Common Factor of 9318,6774 By Matching Biggest Common Factor Method

Factors of 9318

List of positive integer factors of 9318 that divides 9318 without a remainder.

1,2,3,6,1553,3106,4659,9318

Factors of 6774

List of positive integer factors of 6774 that divides 6774 without a remainder.

1,2,3,6,1129,2258,3387,6774

Greatest Common Factor

We found the factors 9318,6774 . The biggest common factor number is the GCF number.
So the greatest common factor 9318,6774 is 6.

Lets's calculate LCM of 60,883

Given numbers has no common factors except 1. So, there LCM is their product i.e 52980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/52980

Therefore, the GCF of Fractions 9318/60,6774/883 is 6/52980

Least Common Multiple of 60,883 with GCF Formula

Least Common Multiple of 60,883 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 60,883 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,883) = 1

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

GCF(60,883) x common factors =1 x 1 = 1

LCM(60,883) = ( 60 × 883 ) / 1

LCM(60,883) = 52980 / 1

LCM(60,883) = 52980


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 9318/60, 6774/883

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 9318/60, 6774/883?

Answer: GCF of Numerators as per given numbers 9318/60, 6774/883 is

GCF of Numerators i.e. for 9318,6774 is 6

LCM of denominators i.e. for 60,883 is 52980.

Thus, GCF of Fractions is 6/52980.Finally, GCF of Fractions for 9318/60, 6774/883 is 6/52980.