How to Find GCF of 9572/866, 7209/5177?

GCF of 9572/866, 7209/5177

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 9572/866, 7209/5177 i.e 1/4483282 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9572/866, 7209/5177.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 9572/866,7209/5177?

Given fractions are 9572/866,7209/5177

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 9572/866,7209/5177, numerators are 9572,7209

Denominators are 866,5177

The GCF of 9572,7209 is 1 .

LCM of 866,5177 is 4483282.

The greatest common factor of 9572/866,7209/5177 = [GCF of 9572,7209]/[LCM of 866,5177]= 1/4483282

Therefore, the GCF of 9572/866,7209/5177 is 1/4483282.

Greatest Common Factor of 9572,7209

To find the highest common factor of 9572,7209, we have to find the factors of both numbers and list the highest common factor.

The factors of 9572 are 1, 2, 4, 2393, 4786, 9572

The factors of 7209 are 1, 3, 9, 27, 81, 89, 267, 801, 2403, 7209

The HCF of 9572,7209 is 1.

Lets's calculate GCF of 9572,7209

Greatest Common Factor (GCF) of 9572,7209 By Common Division

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

Greatest Common Factor of 9572,7209 By Matching Biggest Common Factor Method

Now, list down the factors of 9572

1,2,4,2393,4786,9572

Now, list down the factors of 7209

1,3,9,27,81,89,267,801,2403,7209

Greatest Common Factor

We found the factors 9572,7209 . The biggest common factor number is the GCF number.
So the greatest common factor 9572,7209 is 1.

Lets's calculate LCM of 866,5177

Lowest Common Multiple of 866,5177 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4483282

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4483282

Therefore, the GCF of Fractions 9572/866,7209/5177 is 1/4483282

Least Common Multiple of 866,5177 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 866,5177 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(866,5177) = 1

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

GCF(866,5177) x common factors =1 x 1 = 1

LCM(866,5177) = ( 866 × 5177 ) / 1

LCM(866,5177) = 4483282 / 1

LCM(866,5177) = 4483282

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9572/866, 7209/5177

1. What is the HCF of 9572,7209?

The HCF of 9572,7209 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 9572/866, 7209/5177?

Answer: GCF of Numerators as per given numbers 9572/866, 7209/5177 is

GCF of Numerators i.e. for 9572,7209 is 1

LCM of denominators i.e. for 866,5177 is 4483282.

Thus, GCF of Fractions is 1/4483282.Finally, GCF of Fractions for 9572/866, 7209/5177 is 1/4483282.