LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 2618/441, 5791/125

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 2618/441, 5791/125 i.e 1/55125 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2618/441, 5791/125.

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 2618/441,5791/125?

Given fractions are 2618/441,5791/125

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 2618/441,5791/125, numerators are 2618,5791

Denominators are 441,125

The GCF of 2618,5791 is 1 .

LCM of 441,125 is 55125.

The greatest common factor of 2618/441,5791/125 = [GCF of 2618,5791]/[LCM of 441,125]= 1/55125

Therefore, the GCF of 2618/441,5791/125 is 1/55125.

Greatest Common Factor of 2618,5791

To find the highest common factor of 2618,5791, we have to find the factors of both numbers and list the highest common factor.

The factors of 2618 are 1, 2, 7, 11, 14, 17, 22, 34, 77, 119, 154, 187, 238, 374, 1309, 2618

The factors of 5791 are 1, 5791

The HCF of 2618,5791 is 1.

Lets's calculate GCF of 2618,5791

Greatest Common Factor (GCF) of 2618,5791 By Common Division

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

Greatest Common Factor of 2618,5791 By Matching Biggest Common Factor Method

Greatest Common Factor of 2618,5791 By Matching Biggest Common Factor Method

Now, list down the factors of 2618

:

1,2,7,11,14,17,22,34,77,119,154,187,238,374,1309,2618

Now, list down the factors of 5791

:

1,5791

Greatest Common Factor

We found the factors 2618,5791 . The biggest common factor number is the GCF number.
So the greatest common factor 2618,5791 is 1.


Lets's calculate LCM of 441,125

Lowest Common Multiple of 441,125 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 55125

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55125

Therefore, the GCF of Fractions 2618/441,5791/125 is 1/55125

Least Common Multiple of 441,125 with GCF Formula

Least Common Multiple of 441,125 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 441,125 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(441,125) = 1

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

GCF(441,125) x common factors =1 x 1 = 1

LCM(441,125) = ( 441 × 125 ) / 1

LCM(441,125) = 55125 / 1

LCM(441,125) = 55125


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 2618/441, 5791/125

1. What is the HCF of 2618,5791?

The HCF of 2618,5791 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 2618/441, 5791/125?

Answer: GCF of Numerators as per given numbers 2618/441, 5791/125 is

GCF of Numerators i.e. for 2618,5791 is 1

LCM of denominators i.e. for 441,125 is 55125.

Thus, GCF of Fractions is 1/55125.Finally, GCF of Fractions for 2618/441, 5791/125 is 1/55125.