How to Find GCF of 871/536, 9659/171?

GCF of 871/536, 9659/171

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 871/536, 9659/171 i.e 13/91656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 871/536, 9659/171.

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 871/536,9659/171?

Given fractions are 871/536,9659/171

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 871/536,9659/171, numerators are 871,9659

Denominators are 536,171

The GCF of 871,9659 is 13 .

LCM of 536,171 is 91656.

The greatest common factor of 871/536,9659/171 = [GCF of 871,9659]/[LCM of 536,171]= 13/91656

Therefore, the GCF of 871/536,9659/171 is 13/91656.

Greatest Common Factor of 871,9659

To find the highest common factor of 871,9659, we have to find the factors of both numbers and list the highest common factor.

The factors of 871 are 1, 13, 67, 871

The factors of 9659 are 1, 13, 743, 9659

The HCF of 871,9659 is 13.

Lets's calculate GCF of 871,9659

Greatest Common Factor (GCF) of 871,9659 By Common Division

13	871, 9659
	67, 743

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 871,9659 By Matching Biggest Common Factor Method

Now, list down the factors of 871

1,13,67,871

Now, list down the factors of 9659

1,13,743,9659

Greatest Common Factor

We found the factors 871,9659 . The biggest common factor number is the GCF number.
So the greatest common factor 871,9659 is 13.

Lets's calculate LCM of 536,171

Lowest Common Multiple of 536,171 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 91656

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/91656

Therefore, the GCF of Fractions 871/536,9659/171 is 13/91656

Least Common Multiple of 536,171 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 536,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(536,171) = 1

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

GCF(536,171) x common factors =1 x 1 = 1

LCM(536,171) = ( 536 × 171 ) / 1

LCM(536,171) = 91656 / 1

LCM(536,171) = 91656

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FAQs on GCF of Fractions of 871/536, 9659/171

1. What is the HCF of 871,9659?

The HCF of 871,9659 is 13

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 871/536, 9659/171?

Answer: GCF of Numerators as per given numbers 871/536, 9659/171 is

GCF of Numerators i.e. for 871,9659 is 13

LCM of denominators i.e. for 536,171 is 91656.

Thus, GCF of Fractions is 13/91656.Finally, GCF of Fractions for 871/536, 9659/171 is 13/91656.