Greatest Common Factor of 110/51, 200/60, 829/108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 110/51, 200/60, 829/108

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 110/51,200/60,829/108

Given fractions are 110/51,200/60,829/108

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 110,200,829

Greatest Common Factor of Numerators i.e. GCF of 110,200,829 is 1 .

LCM of Denominators means LCM of 51,60,108 as per the given fractions.

LCM of 51,60,108 is 9180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 110,200,829

GCF of Fractions 110/51,200/60,829/108 is 1/9180

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

Greatest Common Factor of 110,200,829 By Matching Biggest Common Factor Method

Greatest Common Factor of 110,200,829 By Matching Biggest Common Factor Method

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Greatest Common Factor

We found the factors 110,200,829 . The biggest common factor number is the GCF number.
So the greatest common factor 110,200,829 is 1.

Lets's calculate LCM of 51,60,108

2 51, 60, 108
2 51, 30, 54
3 51, 15, 27
17, 5, 9

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 5 x 9 = 9180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9180

Therefore, the GCF of Fractions 110/51,200/60,829/108 is 1/9180

Least Common Multiple of 51,60,108 with GCF Formula

Least Common Multiple of 51,60,108 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 51,60,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,60,108) = 3

common factors(in case of two or more numbers have common factors) = 12

GCF(51,60,108) x common factors =3 x 12 = 36

LCM(51,60,108) = ( 51 × 60 × 108 ) / 36

LCM(51,60,108) = 330480 / 36

LCM(51,60,108) = 9180


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 110/51, 200/60, 829/108

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 110/51, 200/60, 829/108?

Answer: GCF of Numerators as per given numbers 110/51, 200/60, 829/108 is

GCF of Numerators i.e. for 110,200,829 is 1

LCM of denominators i.e. for 51,60,108 is 9180.

Thus, GCF of Fractions is 1/9180.Finally, GCF of Fractions for 110/51, 200/60, 829/108 is 1/9180.