Greatest Common Factor of 101/58, 192/33, 771/219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 101/58, 192/33, 771/219

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 101/58,192/33,771/219

Given fractions are 101/58,192/33,771/219

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 101,192,771

Greatest Common Factor of Numerators i.e. GCF of 101,192,771 is 1 .

LCM of Denominators means LCM of 58,33,219 as per the given fractions.

LCM of 58,33,219 is 139722 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 101,192,771

GCF of Fractions 101/58,192/33,771/219 is 1/139722

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

Greatest Common Factor of 101,192,771 By Matching Biggest Common Factor Method

Greatest Common Factor of 101,192,771 By Matching Biggest Common Factor Method

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Greatest Common Factor

We found the factors 101,192,771 . The biggest common factor number is the GCF number.
So the greatest common factor 101,192,771 is 1.

Lets's calculate LCM of 58,33,219

3 58, 33, 219
58, 11, 73

∴ So the LCM of the given numbers is 3 x 58 x 11 x 73 = 139722

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/139722

Therefore, the GCF of Fractions 101/58,192/33,771/219 is 1/139722

Least Common Multiple of 58,33,219 with GCF Formula

Least Common Multiple of 58,33,219 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 58,33,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,33,219) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(58,33,219) x common factors =1 x 3 = 3

LCM(58,33,219) = ( 58 × 33 × 219 ) / 3

LCM(58,33,219) = 419166 / 3

LCM(58,33,219) = 139722


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 101/58, 192/33, 771/219

1. 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.

2. What is the GCF of Fractions for 101/58, 192/33, 771/219?

Answer: GCF of Numerators as per given numbers 101/58, 192/33, 771/219 is

GCF of Numerators i.e. for 101,192,771 is 1

LCM of denominators i.e. for 58,33,219 is 139722.

Thus, GCF of Fractions is 1/139722.Finally, GCF of Fractions for 101/58, 192/33, 771/219 is 1/139722.