How to Find GCF of 9577/156, 7893/1326?

GCF of 9577/156, 7893/1326

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 9577/156, 7893/1326 i.e 1/2652 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9577/156, 7893/1326.

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 9577/156,7893/1326?

Given fractions are 9577/156,7893/1326

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 9577/156,7893/1326, numerators are 9577,7893

Denominators are 156,1326

The GCF of 9577,7893 is 1 .

LCM of 156,1326 is 2652.

The greatest common factor of 9577/156,7893/1326 = [GCF of 9577,7893]/[LCM of 156,1326]= 1/2652

Therefore, the GCF of 9577/156,7893/1326 is 1/2652.

Greatest Common Factor of 9577,7893

To find the highest common factor of 9577,7893, we have to find the factors of both numbers and list the highest common factor.

The factors of 9577 are 1, 61, 157, 9577

The factors of 7893 are 1, 3, 9, 877, 2631, 7893

The HCF of 9577,7893 is 1.

Lets's calculate GCF of 9577,7893

Greatest Common Factor (GCF) of 9577,7893 By Common Division

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

Greatest Common Factor of 9577,7893 By Matching Biggest Common Factor Method

Now, list down the factors of 9577

1,61,157,9577

Now, list down the factors of 7893

1,3,9,877,2631,7893

Greatest Common Factor

We found the factors 9577,7893 . The biggest common factor number is the GCF number.
So the greatest common factor 9577,7893 is 1.

Lets's calculate LCM of 156,1326

Lowest Common Multiple of 156,1326 using Common Division

2	156, 1326
3	78, 663
13	26, 221
	2, 17

∴ So the LCM of the given numbers is 2 x 3 x 13 x 2 x 17 = 2652

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2652

Therefore, the GCF of Fractions 9577/156,7893/1326 is 1/2652

Least Common Multiple of 156,1326 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 156,1326 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(156,1326) = 78

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

GCF(156,1326) x common factors =78 x 1 = 78

LCM(156,1326) = ( 156 × 1326 ) / 78

LCM(156,1326) = 206856 / 78

LCM(156,1326) = 2652

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FAQs on GCF of Fractions of 9577/156, 7893/1326

1. What is the HCF of 9577,7893?

The HCF of 9577,7893 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 9577/156, 7893/1326?

Answer: GCF of Numerators as per given numbers 9577/156, 7893/1326 is

GCF of Numerators i.e. for 9577,7893 is 1

LCM of denominators i.e. for 156,1326 is 2652.

Thus, GCF of Fractions is 1/2652.Finally, GCF of Fractions for 9577/156, 7893/1326 is 1/2652.