How to Find GCF of 5839/840, 4636/8150?

GCF of 5839/840, 4636/8150

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 5839/840, 4636/8150 i.e 1/684600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5839/840, 4636/8150.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 5839/840,4636/8150?

Given fractions are 5839/840,4636/8150

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 5839/840,4636/8150, numerators are 5839,4636

Denominators are 840,8150

The GCF of 5839,4636 is 1 .

LCM of 840,8150 is 684600.

The greatest common factor of 5839/840,4636/8150 = [GCF of 5839,4636]/[LCM of 840,8150]= 1/684600

Therefore, the GCF of 5839/840,4636/8150 is 1/684600.

Greatest Common Factor of 5839,4636

To find the highest common factor of 5839,4636, 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 4636 are 1, 2, 4, 19, 38, 61, 76, 122, 244, 1159, 2318, 4636

The HCF of 5839,4636 is 1.

Lets's calculate GCF of 5839,4636

Greatest Common Factor (GCF) of 5839,4636 By Common Division

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

Greatest Common Factor of 5839,4636 By Matching Biggest Common Factor Method

Now, list down the factors of 5839

1,5839

Now, list down the factors of 4636

1,2,4,19,38,61,76,122,244,1159,2318,4636

Greatest Common Factor

We found the factors 5839,4636 . The biggest common factor number is the GCF number.
So the greatest common factor 5839,4636 is 1.

Lets's calculate LCM of 840,8150

Lowest Common Multiple of 840,8150 using Common Division

2	840, 8150
5	420, 4075
	84, 815

∴ So the LCM of the given numbers is 2 x 5 x 84 x 815 = 684600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/684600

Therefore, the GCF of Fractions 5839/840,4636/8150 is 1/684600

Least Common Multiple of 840,8150 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 840,8150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(840,8150) = 10

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

GCF(840,8150) x common factors =10 x 1 = 10

LCM(840,8150) = ( 840 × 8150 ) / 10

LCM(840,8150) = 6846000 / 10

LCM(840,8150) = 684600

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FAQs on GCF of Fractions of 5839/840, 4636/8150

1. What is the HCF of 5839,4636?

The HCF of 5839,4636 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 5839/840, 4636/8150?

Answer: GCF of Numerators as per given numbers 5839/840, 4636/8150 is

GCF of Numerators i.e. for 5839,4636 is 1

LCM of denominators i.e. for 840,8150 is 684600.

Thus, GCF of Fractions is 1/684600.Finally, GCF of Fractions for 5839/840, 4636/8150 is 1/684600.