Greatest Common Factor of 92/11, 580/54, 216/571

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 92/11, 580/54, 216/571

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 92/11,580/54,216/571

Given fractions are 92/11,580/54,216/571

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 92,580,216

Greatest Common Factor of Numerators i.e. GCF of 92,580,216 is 4 .

LCM of Denominators means LCM of 11,54,571 as per the given fractions.

LCM of 11,54,571 is 339174 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 92,580,216

GCF of Fractions 92/11,580/54,216/571 is 4/339174

2 92, 580, 216
2 46, 290, 108
23, 145, 54

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 92,580,216 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,580,216 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Greatest Common Factor

We found the factors 92,580,216 . The biggest common factor number is the GCF number.
So the greatest common factor 92,580,216 is 4.

Lets's calculate LCM of 11,54,571

Given numbers has no common factors except 1. So, there LCM is their product i.e 339174

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/339174

Therefore, the GCF of Fractions 92/11,580/54,216/571 is 4/339174

Least Common Multiple of 11,54,571 with GCF Formula

Least Common Multiple of 11,54,571 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 11,54,571 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,54,571) = 1

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

GCF(11,54,571) x common factors =1 x 1 = 1

LCM(11,54,571) = ( 11 × 54 × 571 ) / 1

LCM(11,54,571) = 339174 / 1

LCM(11,54,571) = 339174


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 92/11, 580/54, 216/571

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 92/11, 580/54, 216/571?

Answer: GCF of Numerators as per given numbers 92/11, 580/54, 216/571 is

GCF of Numerators i.e. for 92,580,216 is 4

LCM of denominators i.e. for 11,54,571 is 339174.

Thus, GCF of Fractions is 4/339174.Finally, GCF of Fractions for 92/11, 580/54, 216/571 is 4/339174.