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GCF of 131/65, 816/172

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 131/65, 816/172 i.e 1/11180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 131/65, 816/172.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 131/65,816/172?

Given fractions are 131/65,816/172

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 131/65,816/172, numerators are 131,816

Denominators are 65,172

The GCF of 131,816 is 1 .

LCM of 65,172 is 11180.

The greatest common factor of 131/65,816/172 = [GCF of 131,816]/[LCM of 65,172]= 1/11180

Therefore, the GCF of 131/65,816/172 is 1/11180.

Greatest Common Factor of 131,816

To find the highest common factor of 131,816, we have to find the factors of both numbers and list the highest common factor.

The factors of 131 are 1, 131

The factors of 816 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

The HCF of 131,816 is 1.

Lets's calculate GCF of 131,816

Greatest Common Factor (GCF) of 131,816 By Common Division

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

Greatest Common Factor of 131,816 By Matching Biggest Common Factor Method

Greatest Common Factor of 131,816 By Matching Biggest Common Factor Method

Now, list down the factors of 131

:

1,131

Now, list down the factors of 816

:

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Greatest Common Factor

We found the factors 131,816 . The biggest common factor number is the GCF number.
So the greatest common factor 131,816 is 1.

Lets's calculate LCM of 65,172

Lowest Common Multiple of 65,172 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 11180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11180

Therefore, the GCF of Fractions 131/65,816/172 is 1/11180

Least Common Multiple of 65,172 with GCF Formula

Least Common Multiple of 65,172 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 65,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,172) = 1

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

GCF(65,172) x common factors =1 x 1 = 1

LCM(65,172) = ( 65 × 172 ) / 1

LCM(65,172) = 11180 / 1

LCM(65,172) = 11180


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FAQs on GCF of Fractions of 131/65, 816/172

1. What is the HCF of 131,816?

The HCF of 131,816 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 131/65, 816/172?

Answer: GCF of Numerators as per given numbers 131/65, 816/172 is

GCF of Numerators i.e. for 131,816 is 1

LCM of denominators i.e. for 65,172 is 11180.

Thus, GCF of Fractions is 1/11180.Finally, GCF of Fractions for 131/65, 816/172 is 1/11180.