How to Find GCF of 5893/704, 6131/4180?

GCF of 5893/704, 6131/4180

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 5893/704, 6131/4180 i.e 1/66880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5893/704, 6131/4180.

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 5893/704,6131/4180?

Given fractions are 5893/704,6131/4180

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 5893/704,6131/4180, numerators are 5893,6131

Denominators are 704,4180

The GCF of 5893,6131 is 1 .

LCM of 704,4180 is 66880.

The greatest common factor of 5893/704,6131/4180 = [GCF of 5893,6131]/[LCM of 704,4180]= 1/66880

Therefore, the GCF of 5893/704,6131/4180 is 1/66880.

Greatest Common Factor of 5893,6131

To find the highest common factor of 5893,6131, we have to find the factors of both numbers and list the highest common factor.

The factors of 5893 are 1, 71, 83, 5893

The factors of 6131 are 1, 6131

The HCF of 5893,6131 is 1.

Lets's calculate GCF of 5893,6131

Greatest Common Factor (GCF) of 5893,6131 By Common Division

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

Greatest Common Factor of 5893,6131 By Matching Biggest Common Factor Method

Now, list down the factors of 5893

1,71,83,5893

Now, list down the factors of 6131

1,6131

Greatest Common Factor

We found the factors 5893,6131 . The biggest common factor number is the GCF number.
So the greatest common factor 5893,6131 is 1.

Lets's calculate LCM of 704,4180

Lowest Common Multiple of 704,4180 using Common Division

2	704, 4180
2	352, 2090
11	176, 1045
	16, 95

∴ So the LCM of the given numbers is 2 x 2 x 11 x 16 x 95 = 66880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66880

Therefore, the GCF of Fractions 5893/704,6131/4180 is 1/66880

Least Common Multiple of 704,4180 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 704,4180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(704,4180) = 44

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

GCF(704,4180) x common factors =44 x 1 = 44

LCM(704,4180) = ( 704 × 4180 ) / 44

LCM(704,4180) = 2942720 / 44

LCM(704,4180) = 66880

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 5893/704, 6131/4180

1. What is the HCF of 5893,6131?

The HCF of 5893,6131 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 5893/704, 6131/4180?

Answer: GCF of Numerators as per given numbers 5893/704, 6131/4180 is

GCF of Numerators i.e. for 5893,6131 is 1

LCM of denominators i.e. for 704,4180 is 66880.

Thus, GCF of Fractions is 1/66880.Finally, GCF of Fractions for 5893/704, 6131/4180 is 1/66880.