Greatest Common Factor of 1027/95, 2117/110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1027/95, 2117/110

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 1027/95,2117/110

Given fractions are 1027/95,2117/110

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 1027,2117

Greatest Common Factor of Numerators i.e. GCF of 1027,2117 is 1 .

LCM of Denominators means LCM of 95,110 as per the given fractions.

LCM of 95,110 is 2090 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1027,2117

GCF of Fractions 1027/95,2117/110 is 1/2090

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

Greatest Common Factor of 1027,2117 By Matching Biggest Common Factor Method

Greatest Common Factor of 1027,2117 By Matching Biggest Common Factor Method

Factors of 1027

List of positive integer factors of 1027 that divides 1027 without a remainder.

1,13,79,1027

Factors of 2117

List of positive integer factors of 2117 that divides 2117 without a remainder.

1,29,73,2117

Greatest Common Factor

We found the factors 1027,2117 . The biggest common factor number is the GCF number.
So the greatest common factor 1027,2117 is 1.

Lets's calculate LCM of 95,110

5 95, 110
19, 22

∴ So the LCM of the given numbers is 5 x 19 x 22 = 2090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2090

Therefore, the GCF of Fractions 1027/95,2117/110 is 1/2090

Least Common Multiple of 95,110 with GCF Formula

Least Common Multiple of 95,110 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 95,110 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,110) = 5

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

GCF(95,110) x common factors =5 x 1 = 5

LCM(95,110) = ( 95 × 110 ) / 5

LCM(95,110) = 10450 / 5

LCM(95,110) = 2090


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 1027/95, 2117/110

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 1027/95, 2117/110?

Answer: GCF of Numerators as per given numbers 1027/95, 2117/110 is

GCF of Numerators i.e. for 1027,2117 is 1

LCM of denominators i.e. for 95,110 is 2090.

Thus, GCF of Fractions is 1/2090.Finally, GCF of Fractions for 1027/95, 2117/110 is 1/2090.