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GCF of 861/397, 1987/972

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 861/397, 1987/972 i.e 1/385884 easily. The following is the detailed procedure to determine the greatest common factor of fractions 861/397, 1987/972.

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 861/397,1987/972?

Given fractions are 861/397,1987/972

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 861/397,1987/972, numerators are 861,1987

Denominators are 397,972

The GCF of 861,1987 is 1 .

LCM of 397,972 is 385884.

The greatest common factor of 861/397,1987/972 = [GCF of 861,1987]/[LCM of 397,972]= 1/385884

Therefore, the GCF of 861/397,1987/972 is 1/385884.

Greatest Common Factor of 861,1987

To find the highest common factor of 861,1987, we have to find the factors of both numbers and list the highest common factor.

The factors of 861 are 1, 3, 7, 21, 41, 123, 287, 861

The factors of 1987 are 1, 1987

The HCF of 861,1987 is 1.

Lets's calculate GCF of 861,1987

Greatest Common Factor (GCF) of 861,1987 By Common Division

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

Greatest Common Factor of 861,1987 By Matching Biggest Common Factor Method

Greatest Common Factor of 861,1987 By Matching Biggest Common Factor Method

Now, list down the factors of 861

:

1,3,7,21,41,123,287,861

Now, list down the factors of 1987

:

1,1987

Greatest Common Factor

We found the factors 861,1987 . The biggest common factor number is the GCF number.
So the greatest common factor 861,1987 is 1.

Lets's calculate LCM of 397,972

Lowest Common Multiple of 397,972 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 385884

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/385884

Therefore, the GCF of Fractions 861/397,1987/972 is 1/385884

Least Common Multiple of 397,972 with GCF Formula

Least Common Multiple of 397,972 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 397,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(397,972) = 1

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

GCF(397,972) x common factors =1 x 1 = 1

LCM(397,972) = ( 397 × 972 ) / 1

LCM(397,972) = 385884 / 1

LCM(397,972) = 385884


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FAQs on GCF of Fractions of 861/397, 1987/972

1. What is the HCF of 861,1987?

The HCF of 861,1987 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 861/397, 1987/972?

Answer: GCF of Numerators as per given numbers 861/397, 1987/972 is

GCF of Numerators i.e. for 861,1987 is 1

LCM of denominators i.e. for 397,972 is 385884.

Thus, GCF of Fractions is 1/385884.Finally, GCF of Fractions for 861/397, 1987/972 is 1/385884.