Greatest Common Factor of 9237/756, 1569/221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9237/756, 1569/221

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 9237/756,1569/221

Given fractions are 9237/756,1569/221

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 9237,1569

Greatest Common Factor of Numerators i.e. GCF of 9237,1569 is 3 .

LCM of Denominators means LCM of 756,221 as per the given fractions.

LCM of 756,221 is 167076 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9237,1569

GCF of Fractions 9237/756,1569/221 is 3/167076

3 9237, 1569
3079, 523

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

Greatest Common Factor of 9237,1569 By Matching Biggest Common Factor Method

Greatest Common Factor of 9237,1569 By Matching Biggest Common Factor Method

Factors of 9237

List of positive integer factors of 9237 that divides 9237 without a remainder.

1,3,3079,9237

Factors of 1569

List of positive integer factors of 1569 that divides 1569 without a remainder.

1,3,523,1569

Greatest Common Factor

We found the factors 9237,1569 . The biggest common factor number is the GCF number.
So the greatest common factor 9237,1569 is 3.

Lets's calculate LCM of 756,221

Given numbers has no common factors except 1. So, there LCM is their product i.e 167076

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/167076

Therefore, the GCF of Fractions 9237/756,1569/221 is 3/167076

Least Common Multiple of 756,221 with GCF Formula

Least Common Multiple of 756,221 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 756,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(756,221) = 1

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

GCF(756,221) x common factors =1 x 1 = 1

LCM(756,221) = ( 756 × 221 ) / 1

LCM(756,221) = 167076 / 1

LCM(756,221) = 167076


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 9237/756, 1569/221

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 9237/756, 1569/221?

Answer: GCF of Numerators as per given numbers 9237/756, 1569/221 is

GCF of Numerators i.e. for 9237,1569 is 3

LCM of denominators i.e. for 756,221 is 167076.

Thus, GCF of Fractions is 3/167076.Finally, GCF of Fractions for 9237/756, 1569/221 is 3/167076.