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GCF of 839/285, 1519/5658

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 839/285, 1519/5658 i.e 1/537510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 839/285, 1519/5658.

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 839/285,1519/5658?

Given fractions are 839/285,1519/5658

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 839/285,1519/5658, numerators are 839,1519

Denominators are 285,5658

The GCF of 839,1519 is 1 .

LCM of 285,5658 is 537510.

The greatest common factor of 839/285,1519/5658 = [GCF of 839,1519]/[LCM of 285,5658]= 1/537510

Therefore, the GCF of 839/285,1519/5658 is 1/537510.

Greatest Common Factor of 839,1519

To find the highest common factor of 839,1519, we have to find the factors of both numbers and list the highest common factor.

The factors of 839 are 1, 839

The factors of 1519 are 1, 7, 31, 49, 217, 1519

The HCF of 839,1519 is 1.

Lets's calculate GCF of 839,1519

Greatest Common Factor (GCF) of 839,1519 By Common Division

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

Greatest Common Factor of 839,1519 By Matching Biggest Common Factor Method

Greatest Common Factor of 839,1519 By Matching Biggest Common Factor Method

Now, list down the factors of 839

:

1,839

Now, list down the factors of 1519

:

1,7,31,49,217,1519

Greatest Common Factor

We found the factors 839,1519 . The biggest common factor number is the GCF number.
So the greatest common factor 839,1519 is 1.

Lets's calculate LCM of 285,5658

Lowest Common Multiple of 285,5658 using Common Division

3 285, 5658
95, 1886

∴ So the LCM of the given numbers is 3 x 95 x 1886 = 537510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/537510

Therefore, the GCF of Fractions 839/285,1519/5658 is 1/537510

Least Common Multiple of 285,5658 with GCF Formula

Least Common Multiple of 285,5658 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 285,5658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(285,5658) = 3

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

GCF(285,5658) x common factors =3 x 1 = 3

LCM(285,5658) = ( 285 × 5658 ) / 3

LCM(285,5658) = 1612530 / 3

LCM(285,5658) = 537510


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 839/285, 1519/5658

1. What is the HCF of 839,1519?

The HCF of 839,1519 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 839/285, 1519/5658?

Answer: GCF of Numerators as per given numbers 839/285, 1519/5658 is

GCF of Numerators i.e. for 839,1519 is 1

LCM of denominators i.e. for 285,5658 is 537510.

Thus, GCF of Fractions is 1/537510.Finally, GCF of Fractions for 839/285, 1519/5658 is 1/537510.