Greatest Common Factor of 185/92, 218/17, 680/582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 185/92, 218/17, 680/582

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 185/92,218/17,680/582

Given fractions are 185/92,218/17,680/582

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 185,218,680

Greatest Common Factor of Numerators i.e. GCF of 185,218,680 is 1 .

LCM of Denominators means LCM of 92,17,582 as per the given fractions.

LCM of 92,17,582 is 455124 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 185,218,680

GCF of Fractions 185/92,218/17,680/582 is 1/455124

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

Greatest Common Factor of 185,218,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 185,218,680 By Matching Biggest Common Factor Method

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 185,218,680 . The biggest common factor number is the GCF number.
So the greatest common factor 185,218,680 is 1.

Lets's calculate LCM of 92,17,582

2 92, 17, 582
46, 17, 291

∴ So the LCM of the given numbers is 2 x 46 x 17 x 291 = 455124

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/455124

Therefore, the GCF of Fractions 185/92,218/17,680/582 is 1/455124

Least Common Multiple of 92,17,582 with GCF Formula

Least Common Multiple of 92,17,582 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 92,17,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,17,582) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(92,17,582) x common factors =1 x 2 = 2

LCM(92,17,582) = ( 92 × 17 × 582 ) / 2

LCM(92,17,582) = 910248 / 2

LCM(92,17,582) = 455124


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 185/92, 218/17, 680/582

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 185/92, 218/17, 680/582?

Answer: GCF of Numerators as per given numbers 185/92, 218/17, 680/582 is

GCF of Numerators i.e. for 185,218,680 is 1

LCM of denominators i.e. for 92,17,582 is 455124.

Thus, GCF of Fractions is 1/455124.Finally, GCF of Fractions for 185/92, 218/17, 680/582 is 1/455124.