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GCF of 647/204, 831/502

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 647/204, 831/502 i.e 1/51204 easily. The following is the detailed procedure to determine the greatest common factor of fractions 647/204, 831/502.

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 647/204,831/502?

Given fractions are 647/204,831/502

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 647/204,831/502, numerators are 647,831

Denominators are 204,502

The GCF of 647,831 is 1 .

LCM of 204,502 is 51204.

The greatest common factor of 647/204,831/502 = [GCF of 647,831]/[LCM of 204,502]= 1/51204

Therefore, the GCF of 647/204,831/502 is 1/51204.

Greatest Common Factor of 647,831

To find the highest common factor of 647,831, we have to find the factors of both numbers and list the highest common factor.

The factors of 647 are 1, 647

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

The HCF of 647,831 is 1.

Lets's calculate GCF of 647,831

Greatest Common Factor (GCF) of 647,831 By Common Division

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

Greatest Common Factor of 647,831 By Matching Biggest Common Factor Method

Greatest Common Factor of 647,831 By Matching Biggest Common Factor Method

Now, list down the factors of 647

:

1,647

Now, list down the factors of 831

:

1,3,277,831

Greatest Common Factor

We found the factors 647,831 . The biggest common factor number is the GCF number.
So the greatest common factor 647,831 is 1.

Lets's calculate LCM of 204,502

Lowest Common Multiple of 204,502 using Common Division

2 204, 502
102, 251

∴ So the LCM of the given numbers is 2 x 102 x 251 = 51204

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51204

Therefore, the GCF of Fractions 647/204,831/502 is 1/51204

Least Common Multiple of 204,502 with GCF Formula

Least Common Multiple of 204,502 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 204,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,502) = 2

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

GCF(204,502) x common factors =2 x 1 = 2

LCM(204,502) = ( 204 × 502 ) / 2

LCM(204,502) = 102408 / 2

LCM(204,502) = 51204


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FAQs on GCF of Fractions of 647/204, 831/502

1. What is the HCF of 647,831?

The HCF of 647,831 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 647/204, 831/502?

Answer: GCF of Numerators as per given numbers 647/204, 831/502 is

GCF of Numerators i.e. for 647,831 is 1

LCM of denominators i.e. for 204,502 is 51204.

Thus, GCF of Fractions is 1/51204.Finally, GCF of Fractions for 647/204, 831/502 is 1/51204.