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GCF of 339/36, 787/654

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 339/36, 787/654 i.e 1/3924 easily. The following is the detailed procedure to determine the greatest common factor of fractions 339/36, 787/654.

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 339/36,787/654?

Given fractions are 339/36,787/654

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 339/36,787/654, numerators are 339,787

Denominators are 36,654

The GCF of 339,787 is 1 .

LCM of 36,654 is 3924.

The greatest common factor of 339/36,787/654 = [GCF of 339,787]/[LCM of 36,654]= 1/3924

Therefore, the GCF of 339/36,787/654 is 1/3924.

Greatest Common Factor of 339,787

To find the highest common factor of 339,787, we have to find the factors of both numbers and list the highest common factor.

The factors of 339 are 1, 3, 113, 339

The factors of 787 are 1, 787

The HCF of 339,787 is 1.

Lets's calculate GCF of 339,787

Greatest Common Factor (GCF) of 339,787 By Common Division

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

Greatest Common Factor of 339,787 By Matching Biggest Common Factor Method

Greatest Common Factor of 339,787 By Matching Biggest Common Factor Method

Now, list down the factors of 339

:

1,3,113,339

Now, list down the factors of 787

:

1,787

Greatest Common Factor

We found the factors 339,787 . The biggest common factor number is the GCF number.
So the greatest common factor 339,787 is 1.

Lets's calculate LCM of 36,654

Lowest Common Multiple of 36,654 using Common Division

2 36, 654
3 18, 327
6, 109

∴ So the LCM of the given numbers is 2 x 3 x 6 x 109 = 3924

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3924

Therefore, the GCF of Fractions 339/36,787/654 is 1/3924

Least Common Multiple of 36,654 with GCF Formula

Least Common Multiple of 36,654 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 36,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,654) = 6

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

GCF(36,654) x common factors =6 x 1 = 6

LCM(36,654) = ( 36 × 654 ) / 6

LCM(36,654) = 23544 / 6

LCM(36,654) = 3924


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FAQs on GCF of Fractions of 339/36, 787/654

1. What is the HCF of 339,787?

The HCF of 339,787 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 339/36, 787/654?

Answer: GCF of Numerators as per given numbers 339/36, 787/654 is

GCF of Numerators i.e. for 339,787 is 1

LCM of denominators i.e. for 36,654 is 3924.

Thus, GCF of Fractions is 1/3924.Finally, GCF of Fractions for 339/36, 787/654 is 1/3924.