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GCF of 863/66, 103/956

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 863/66, 103/956 i.e 1/31548 easily. The following is the detailed procedure to determine the greatest common factor of fractions 863/66, 103/956.

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 863/66,103/956?

Given fractions are 863/66,103/956

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 863/66,103/956, numerators are 863,103

Denominators are 66,956

The GCF of 863,103 is 1 .

LCM of 66,956 is 31548.

The greatest common factor of 863/66,103/956 = [GCF of 863,103]/[LCM of 66,956]= 1/31548

Therefore, the GCF of 863/66,103/956 is 1/31548.

Greatest Common Factor of 863,103

To find the highest common factor of 863,103, we have to find the factors of both numbers and list the highest common factor.

The factors of 863 are 1, 863

The factors of 103 are 1, 103

The HCF of 863,103 is 1.

Lets's calculate GCF of 863,103

Greatest Common Factor (GCF) of 863,103 By Common Division

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

Greatest Common Factor of 863,103 By Matching Biggest Common Factor Method

Greatest Common Factor of 863,103 By Matching Biggest Common Factor Method

Now, list down the factors of 863

:

1,863

Now, list down the factors of 103

:

1,103

Greatest Common Factor

We found the factors 863,103 . The biggest common factor number is the GCF number.
So the greatest common factor 863,103 is 1.

Lets's calculate LCM of 66,956

Lowest Common Multiple of 66,956 using Common Division

2 66, 956
33, 478

∴ So the LCM of the given numbers is 2 x 33 x 478 = 31548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31548

Therefore, the GCF of Fractions 863/66,103/956 is 1/31548

Least Common Multiple of 66,956 with GCF Formula

Least Common Multiple of 66,956 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 66,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,956) = 2

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

GCF(66,956) x common factors =2 x 1 = 2

LCM(66,956) = ( 66 × 956 ) / 2

LCM(66,956) = 63096 / 2

LCM(66,956) = 31548


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FAQs on GCF of Fractions of 863/66, 103/956

1. What is the HCF of 863,103?

The HCF of 863,103 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 863/66, 103/956?

Answer: GCF of Numerators as per given numbers 863/66, 103/956 is

GCF of Numerators i.e. for 863,103 is 1

LCM of denominators i.e. for 66,956 is 31548.

Thus, GCF of Fractions is 1/31548.Finally, GCF of Fractions for 863/66, 103/956 is 1/31548.