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GCF of 357/520, 987/338

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 357/520, 987/338 i.e 21/6760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 357/520, 987/338.

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 357/520,987/338?

Given fractions are 357/520,987/338

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 357/520,987/338, numerators are 357,987

Denominators are 520,338

The GCF of 357,987 is 21 .

LCM of 520,338 is 6760.

The greatest common factor of 357/520,987/338 = [GCF of 357,987]/[LCM of 520,338]= 21/6760

Therefore, the GCF of 357/520,987/338 is 21/6760.

Greatest Common Factor of 357,987

To find the highest common factor of 357,987, we have to find the factors of both numbers and list the highest common factor.

The factors of 357 are 1, 3, 7, 17, 21, 51, 119, 357

The factors of 987 are 1, 3, 7, 21, 47, 141, 329, 987

The HCF of 357,987 is 21.

Lets's calculate GCF of 357,987

Greatest Common Factor (GCF) of 357,987 By Common Division

3 357, 987
7 119, 329
17, 47

∴ So the GCF of the given numbers is 3 x 7 = 21

Greatest Common Factor of 357,987 By Matching Biggest Common Factor Method

Greatest Common Factor of 357,987 By Matching Biggest Common Factor Method

Now, list down the factors of 357

:

1,3,7,17,21,51,119,357

Now, list down the factors of 987

:

1,3,7,21,47,141,329,987

Greatest Common Factor

We found the factors 357,987 . The biggest common factor number is the GCF number.
So the greatest common factor 357,987 is 21.

Lets's calculate LCM of 520,338

Lowest Common Multiple of 520,338 using Common Division

2 520, 338
13 260, 169
20, 13

∴ So the LCM of the given numbers is 2 x 13 x 20 x 13 = 6760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/6760

Therefore, the GCF of Fractions 357/520,987/338 is 21/6760

Least Common Multiple of 520,338 with GCF Formula

Least Common Multiple of 520,338 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 520,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,338) = 26

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

GCF(520,338) x common factors =26 x 1 = 26

LCM(520,338) = ( 520 × 338 ) / 26

LCM(520,338) = 175760 / 26

LCM(520,338) = 6760


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FAQs on GCF of Fractions of 357/520, 987/338

1. What is the HCF of 357,987?

The HCF of 357,987 is 21

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 357/520, 987/338?

Answer: GCF of Numerators as per given numbers 357/520, 987/338 is

GCF of Numerators i.e. for 357,987 is 21

LCM of denominators i.e. for 520,338 is 6760.

Thus, GCF of Fractions is 21/6760.Finally, GCF of Fractions for 357/520, 987/338 is 21/6760.