Greatest Common Factor of 120/26, 190/590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 120/26, 190/590

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 120/26,190/590

Given fractions are 120/26,190/590

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 120,190

Greatest Common Factor of Numerators i.e. GCF of 120,190 is 10 .

LCM of Denominators means LCM of 26,590 as per the given fractions.

LCM of 26,590 is 7670 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 120,190

GCF of Fractions 120/26,190/590 is 10/7670

2 120, 190
5 60, 95
12, 19

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 120,190 By Matching Biggest Common Factor Method

Greatest Common Factor of 120,190 By Matching Biggest Common Factor Method

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Greatest Common Factor

We found the factors 120,190 . The biggest common factor number is the GCF number.
So the greatest common factor 120,190 is 10.

Lets's calculate LCM of 26,590

2 26, 590
13, 295

∴ So the LCM of the given numbers is 2 x 13 x 295 = 7670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/7670

Therefore, the GCF of Fractions 120/26,190/590 is 10/7670

Least Common Multiple of 26,590 with GCF Formula

Least Common Multiple of 26,590 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 26,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,590) = 2

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

GCF(26,590) x common factors =2 x 1 = 2

LCM(26,590) = ( 26 × 590 ) / 2

LCM(26,590) = 15340 / 2

LCM(26,590) = 7670


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 120/26, 190/590

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 120/26, 190/590?

Answer: GCF of Numerators as per given numbers 120/26, 190/590 is

GCF of Numerators i.e. for 120,190 is 10

LCM of denominators i.e. for 26,590 is 7670.

Thus, GCF of Fractions is 10/7670.Finally, GCF of Fractions for 120/26, 190/590 is 10/7670.