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 100/58, 291/6372

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 100/58, 291/6372 i.e 1/184788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 100/58, 291/6372.

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 100/58,291/6372?

Given fractions are 100/58,291/6372

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 100/58,291/6372, numerators are 100,291

Denominators are 58,6372

The GCF of 100,291 is 1 .

LCM of 58,6372 is 184788.

The greatest common factor of 100/58,291/6372 = [GCF of 100,291]/[LCM of 58,6372]= 1/184788

Therefore, the GCF of 100/58,291/6372 is 1/184788.

Greatest Common Factor of 100,291

To find the highest common factor of 100,291, we have to find the factors of both numbers and list the highest common factor.

The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100

The factors of 291 are 1, 3, 97, 291

The HCF of 100,291 is 1.

Lets's calculate GCF of 100,291

Greatest Common Factor (GCF) of 100,291 By Common Division

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

Greatest Common Factor of 100,291 By Matching Biggest Common Factor Method

Greatest Common Factor of 100,291 By Matching Biggest Common Factor Method

Now, list down the factors of 100

:

1,2,4,5,10,20,25,50,100

Now, list down the factors of 291

:

1,3,97,291

Greatest Common Factor

We found the factors 100,291 . The biggest common factor number is the GCF number.
So the greatest common factor 100,291 is 1.


Lets's calculate LCM of 58,6372

Lowest Common Multiple of 58,6372 using Common Division

2 58, 6372
29, 3186

∴ So the LCM of the given numbers is 2 x 29 x 3186 = 184788

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/184788

Therefore, the GCF of Fractions 100/58,291/6372 is 1/184788

Least Common Multiple of 58,6372 with GCF Formula

Least Common Multiple of 58,6372 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 58,6372 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,6372) = 2

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

GCF(58,6372) x common factors =2 x 1 = 2

LCM(58,6372) = ( 58 × 6372 ) / 2

LCM(58,6372) = 369576 / 2

LCM(58,6372) = 184788


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 100/58, 291/6372

1. What is the HCF of 100,291?

The HCF of 100,291 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 100/58, 291/6372?

Answer: GCF of Numerators as per given numbers 100/58, 291/6372 is

GCF of Numerators i.e. for 100,291 is 1

LCM of denominators i.e. for 58,6372 is 184788.

Thus, GCF of Fractions is 1/184788.Finally, GCF of Fractions for 100/58, 291/6372 is 1/184788.