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GCF of 862/564, 729/644

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 862/564, 729/644 i.e 1/90804 easily. The following is the detailed procedure to determine the greatest common factor of fractions 862/564, 729/644.

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 862/564,729/644?

Given fractions are 862/564,729/644

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 862/564,729/644, numerators are 862,729

Denominators are 564,644

The GCF of 862,729 is 1 .

LCM of 564,644 is 90804.

The greatest common factor of 862/564,729/644 = [GCF of 862,729]/[LCM of 564,644]= 1/90804

Therefore, the GCF of 862/564,729/644 is 1/90804.

Greatest Common Factor of 862,729

To find the highest common factor of 862,729, we have to find the factors of both numbers and list the highest common factor.

The factors of 862 are 1, 2, 431, 862

The factors of 729 are 1, 3, 9, 27, 81, 243, 729

The HCF of 862,729 is 1.

Lets's calculate GCF of 862,729

Greatest Common Factor (GCF) of 862,729 By Common Division

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

Greatest Common Factor of 862,729 By Matching Biggest Common Factor Method

Greatest Common Factor of 862,729 By Matching Biggest Common Factor Method

Now, list down the factors of 862

:

1,2,431,862

Now, list down the factors of 729

:

1,3,9,27,81,243,729

Greatest Common Factor

We found the factors 862,729 . The biggest common factor number is the GCF number.
So the greatest common factor 862,729 is 1.

Lets's calculate LCM of 564,644

Lowest Common Multiple of 564,644 using Common Division

2 564, 644
2 282, 322
141, 161

∴ So the LCM of the given numbers is 2 x 2 x 141 x 161 = 90804

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/90804

Therefore, the GCF of Fractions 862/564,729/644 is 1/90804

Least Common Multiple of 564,644 with GCF Formula

Least Common Multiple of 564,644 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 564,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,644) = 4

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

GCF(564,644) x common factors =4 x 1 = 4

LCM(564,644) = ( 564 × 644 ) / 4

LCM(564,644) = 363216 / 4

LCM(564,644) = 90804


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FAQs on GCF of Fractions of 862/564, 729/644

1. What is the HCF of 862,729?

The HCF of 862,729 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 862/564, 729/644?

Answer: GCF of Numerators as per given numbers 862/564, 729/644 is

GCF of Numerators i.e. for 862,729 is 1

LCM of denominators i.e. for 564,644 is 90804.

Thus, GCF of Fractions is 1/90804.Finally, GCF of Fractions for 862/564, 729/644 is 1/90804.