Greatest Common Factor of 34/180, 110/817

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 34/180, 110/817

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 34/180,110/817

Given fractions are 34/180,110/817

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 34,110

Greatest Common Factor of Numerators i.e. GCF of 34,110 is 2 .

LCM of Denominators means LCM of 180,817 as per the given fractions.

LCM of 180,817 is 147060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 34,110

GCF of Fractions 34/180,110/817 is 2/147060

2 34, 110
17, 55

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

Greatest Common Factor of 34,110 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,110 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 110

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

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

Greatest Common Factor

We found the factors 34,110 . The biggest common factor number is the GCF number.
So the greatest common factor 34,110 is 2.

Lets's calculate LCM of 180,817

Given numbers has no common factors except 1. So, there LCM is their product i.e 147060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/147060

Therefore, the GCF of Fractions 34/180,110/817 is 2/147060

Least Common Multiple of 180,817 with GCF Formula

Least Common Multiple of 180,817 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 180,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(180,817) = 1

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

GCF(180,817) x common factors =1 x 1 = 1

LCM(180,817) = ( 180 × 817 ) / 1

LCM(180,817) = 147060 / 1

LCM(180,817) = 147060


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 34/180, 110/817

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 34/180, 110/817?

Answer: GCF of Numerators as per given numbers 34/180, 110/817 is

GCF of Numerators i.e. for 34,110 is 2

LCM of denominators i.e. for 180,817 is 147060.

Thus, GCF of Fractions is 2/147060.Finally, GCF of Fractions for 34/180, 110/817 is 2/147060.