Greatest Common Factor of 9168/920, 2697/6549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9168/920, 2697/6549

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 9168/920,2697/6549

Given fractions are 9168/920,2697/6549

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 9168,2697

Greatest Common Factor of Numerators i.e. GCF of 9168,2697 is 3 .

LCM of Denominators means LCM of 920,6549 as per the given fractions.

LCM of 920,6549 is 6025080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9168,2697

GCF of Fractions 9168/920,2697/6549 is 3/6025080

3 9168, 2697
3056, 899

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9168,2697 By Matching Biggest Common Factor Method

Greatest Common Factor of 9168,2697 By Matching Biggest Common Factor Method

Factors of 9168

List of positive integer factors of 9168 that divides 9168 without a remainder.

1,2,3,4,6,8,12,16,24,48,191,382,573,764,1146,1528,2292,3056,4584,9168

Factors of 2697

List of positive integer factors of 2697 that divides 2697 without a remainder.

1,3,29,31,87,93,899,2697

Greatest Common Factor

We found the factors 9168,2697 . The biggest common factor number is the GCF number.
So the greatest common factor 9168,2697 is 3.

Lets's calculate LCM of 920,6549

Given numbers has no common factors except 1. So, there LCM is their product i.e 6025080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6025080

Therefore, the GCF of Fractions 9168/920,2697/6549 is 3/6025080

Least Common Multiple of 920,6549 with GCF Formula

Least Common Multiple of 920,6549 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 920,6549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,6549) = 1

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

GCF(920,6549) x common factors =1 x 1 = 1

LCM(920,6549) = ( 920 × 6549 ) / 1

LCM(920,6549) = 6025080 / 1

LCM(920,6549) = 6025080


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 9168/920, 2697/6549

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 9168/920, 2697/6549?

Answer: GCF of Numerators as per given numbers 9168/920, 2697/6549 is

GCF of Numerators i.e. for 9168,2697 is 3

LCM of denominators i.e. for 920,6549 is 6025080.

Thus, GCF of Fractions is 3/6025080.Finally, GCF of Fractions for 9168/920, 2697/6549 is 3/6025080.