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GCF of 591/65, 831/197

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 591/65, 831/197 i.e 3/12805 easily. The following is the detailed procedure to determine the greatest common factor of fractions 591/65, 831/197.

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 591/65,831/197?

Given fractions are 591/65,831/197

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 591/65,831/197, numerators are 591,831

Denominators are 65,197

The GCF of 591,831 is 3 .

LCM of 65,197 is 12805.

The greatest common factor of 591/65,831/197 = [GCF of 591,831]/[LCM of 65,197]= 3/12805

Therefore, the GCF of 591/65,831/197 is 3/12805.

Greatest Common Factor of 591,831

To find the highest common factor of 591,831, we have to find the factors of both numbers and list the highest common factor.

The factors of 591 are 1, 3, 197, 591

The factors of 831 are 1, 3, 277, 831

The HCF of 591,831 is 3.

Lets's calculate GCF of 591,831

Greatest Common Factor (GCF) of 591,831 By Common Division

3 591, 831
197, 277

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

Greatest Common Factor of 591,831 By Matching Biggest Common Factor Method

Greatest Common Factor of 591,831 By Matching Biggest Common Factor Method

Now, list down the factors of 591

:

1,3,197,591

Now, list down the factors of 831

:

1,3,277,831

Greatest Common Factor

We found the factors 591,831 . The biggest common factor number is the GCF number.
So the greatest common factor 591,831 is 3.

Lets's calculate LCM of 65,197

Lowest Common Multiple of 65,197 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 12805

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/12805

Therefore, the GCF of Fractions 591/65,831/197 is 3/12805

Least Common Multiple of 65,197 with GCF Formula

Least Common Multiple of 65,197 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 65,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,197) = 1

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

GCF(65,197) x common factors =1 x 1 = 1

LCM(65,197) = ( 65 × 197 ) / 1

LCM(65,197) = 12805 / 1

LCM(65,197) = 12805


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FAQs on GCF of Fractions of 591/65, 831/197

1. What is the HCF of 591,831?

The HCF of 591,831 is 3

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 591/65, 831/197?

Answer: GCF of Numerators as per given numbers 591/65, 831/197 is

GCF of Numerators i.e. for 591,831 is 3

LCM of denominators i.e. for 65,197 is 12805.

Thus, GCF of Fractions is 3/12805.Finally, GCF of Fractions for 591/65, 831/197 is 3/12805.