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GCF of 524/387, 464/517

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 524/387, 464/517 i.e 4/200079 easily. The following is the detailed procedure to determine the greatest common factor of fractions 524/387, 464/517.

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 524/387,464/517?

Given fractions are 524/387,464/517

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 524/387,464/517, numerators are 524,464

Denominators are 387,517

The GCF of 524,464 is 4 .

LCM of 387,517 is 200079.

The greatest common factor of 524/387,464/517 = [GCF of 524,464]/[LCM of 387,517]= 4/200079

Therefore, the GCF of 524/387,464/517 is 4/200079.

Greatest Common Factor of 524,464

To find the highest common factor of 524,464, we have to find the factors of both numbers and list the highest common factor.

The factors of 524 are 1, 2, 4, 131, 262, 524

The factors of 464 are 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

The HCF of 524,464 is 4.

Lets's calculate GCF of 524,464

Greatest Common Factor (GCF) of 524,464 By Common Division

2 524, 464
2 262, 232
131, 116

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 524,464 By Matching Biggest Common Factor Method

Greatest Common Factor of 524,464 By Matching Biggest Common Factor Method

Now, list down the factors of 524

:

1,2,4,131,262,524

Now, list down the factors of 464

:

1,2,4,8,16,29,58,116,232,464

Greatest Common Factor

We found the factors 524,464 . The biggest common factor number is the GCF number.
So the greatest common factor 524,464 is 4.

Lets's calculate LCM of 387,517

Lowest Common Multiple of 387,517 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 200079

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/200079

Therefore, the GCF of Fractions 524/387,464/517 is 4/200079

Least Common Multiple of 387,517 with GCF Formula

Least Common Multiple of 387,517 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 387,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(387,517) = 1

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

GCF(387,517) x common factors =1 x 1 = 1

LCM(387,517) = ( 387 × 517 ) / 1

LCM(387,517) = 200079 / 1

LCM(387,517) = 200079


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FAQs on GCF of Fractions of 524/387, 464/517

1. What is the HCF of 524,464?

The HCF of 524,464 is 4

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 524/387, 464/517?

Answer: GCF of Numerators as per given numbers 524/387, 464/517 is

GCF of Numerators i.e. for 524,464 is 4

LCM of denominators i.e. for 387,517 is 200079.

Thus, GCF of Fractions is 4/200079.Finally, GCF of Fractions for 524/387, 464/517 is 4/200079.