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GCF of 5839/381, 3830/7086

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 5839/381, 3830/7086 i.e 1/899922 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5839/381, 3830/7086.

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 5839/381,3830/7086?

Given fractions are 5839/381,3830/7086

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 5839/381,3830/7086, numerators are 5839,3830

Denominators are 381,7086

The GCF of 5839,3830 is 1 .

LCM of 381,7086 is 899922.

The greatest common factor of 5839/381,3830/7086 = [GCF of 5839,3830]/[LCM of 381,7086]= 1/899922

Therefore, the GCF of 5839/381,3830/7086 is 1/899922.

Greatest Common Factor of 5839,3830

To find the highest common factor of 5839,3830, we have to find the factors of both numbers and list the highest common factor.

The factors of 5839 are 1, 5839

The factors of 3830 are 1, 2, 5, 10, 383, 766, 1915, 3830

The HCF of 5839,3830 is 1.

Lets's calculate GCF of 5839,3830

Greatest Common Factor (GCF) of 5839,3830 By Common Division

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

Greatest Common Factor of 5839,3830 By Matching Biggest Common Factor Method

Greatest Common Factor of 5839,3830 By Matching Biggest Common Factor Method

Now, list down the factors of 5839

:

1,5839

Now, list down the factors of 3830

:

1,2,5,10,383,766,1915,3830

Greatest Common Factor

We found the factors 5839,3830 . The biggest common factor number is the GCF number.
So the greatest common factor 5839,3830 is 1.

Lets's calculate LCM of 381,7086

Lowest Common Multiple of 381,7086 using Common Division

3 381, 7086
127, 2362

∴ So the LCM of the given numbers is 3 x 127 x 2362 = 899922

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/899922

Therefore, the GCF of Fractions 5839/381,3830/7086 is 1/899922

Least Common Multiple of 381,7086 with GCF Formula

Least Common Multiple of 381,7086 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 381,7086 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(381,7086) = 3

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

GCF(381,7086) x common factors =3 x 1 = 3

LCM(381,7086) = ( 381 × 7086 ) / 3

LCM(381,7086) = 2699766 / 3

LCM(381,7086) = 899922


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5839/381, 3830/7086

1. What is the HCF of 5839,3830?

The HCF of 5839,3830 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 5839/381, 3830/7086?

Answer: GCF of Numerators as per given numbers 5839/381, 3830/7086 is

GCF of Numerators i.e. for 5839,3830 is 1

LCM of denominators i.e. for 381,7086 is 899922.

Thus, GCF of Fractions is 1/899922.Finally, GCF of Fractions for 5839/381, 3830/7086 is 1/899922.