How to Find GCF of 4839/359, 5957/3371?

GCF of 4839/359, 5957/3371

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 4839/359, 5957/3371 i.e 1/1210189 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4839/359, 5957/3371.

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 4839/359,5957/3371?

Given fractions are 4839/359,5957/3371

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 4839/359,5957/3371, numerators are 4839,5957

Denominators are 359,3371

The GCF of 4839,5957 is 1 .

LCM of 359,3371 is 1210189.

The greatest common factor of 4839/359,5957/3371 = [GCF of 4839,5957]/[LCM of 359,3371]= 1/1210189

Therefore, the GCF of 4839/359,5957/3371 is 1/1210189.

Greatest Common Factor of 4839,5957

To find the highest common factor of 4839,5957, we have to find the factors of both numbers and list the highest common factor.

The factors of 4839 are 1, 3, 1613, 4839

The factors of 5957 are 1, 7, 23, 37, 161, 259, 851, 5957

The HCF of 4839,5957 is 1.

Lets's calculate GCF of 4839,5957

Greatest Common Factor (GCF) of 4839,5957 By Common Division

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

Greatest Common Factor of 4839,5957 By Matching Biggest Common Factor Method

Now, list down the factors of 4839

1,3,1613,4839

Now, list down the factors of 5957

1,7,23,37,161,259,851,5957

Greatest Common Factor

We found the factors 4839,5957 . The biggest common factor number is the GCF number.
So the greatest common factor 4839,5957 is 1.

Lets's calculate LCM of 359,3371

Lowest Common Multiple of 359,3371 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1210189

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1210189

Therefore, the GCF of Fractions 4839/359,5957/3371 is 1/1210189

Least Common Multiple of 359,3371 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 359,3371 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(359,3371) = 1

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

GCF(359,3371) x common factors =1 x 1 = 1

LCM(359,3371) = ( 359 × 3371 ) / 1

LCM(359,3371) = 1210189 / 1

LCM(359,3371) = 1210189

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FAQs on GCF of Fractions of 4839/359, 5957/3371

1. What is the HCF of 4839,5957?

The HCF of 4839,5957 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 4839/359, 5957/3371?

Answer: GCF of Numerators as per given numbers 4839/359, 5957/3371 is

GCF of Numerators i.e. for 4839,5957 is 1

LCM of denominators i.e. for 359,3371 is 1210189.

Thus, GCF of Fractions is 1/1210189.Finally, GCF of Fractions for 4839/359, 5957/3371 is 1/1210189.