Greatest Common Factor of 26/69, 253/11, 860/133

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 26/69, 253/11, 860/133

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 26/69,253/11,860/133

Given fractions are 26/69,253/11,860/133

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 26,253,860

Greatest Common Factor of Numerators i.e. GCF of 26,253,860 is 1 .

LCM of Denominators means LCM of 69,11,133 as per the given fractions.

LCM of 69,11,133 is 100947 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 26,253,860

GCF of Fractions 26/69,253/11,860/133 is 1/100947

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

Greatest Common Factor of 26,253,860 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,253,860 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Greatest Common Factor

We found the factors 26,253,860 . The biggest common factor number is the GCF number.
So the greatest common factor 26,253,860 is 1.

Lets's calculate LCM of 69,11,133

Given numbers has no common factors except 1. So, there LCM is their product i.e 100947

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100947

Therefore, the GCF of Fractions 26/69,253/11,860/133 is 1/100947

Least Common Multiple of 69,11,133 with GCF Formula

Least Common Multiple of 69,11,133 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 69,11,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,11,133) = 1

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

GCF(69,11,133) x common factors =1 x 1 = 1

LCM(69,11,133) = ( 69 × 11 × 133 ) / 1

LCM(69,11,133) = 100947 / 1

LCM(69,11,133) = 100947


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 26/69, 253/11, 860/133

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 26/69, 253/11, 860/133?

Answer: GCF of Numerators as per given numbers 26/69, 253/11, 860/133 is

GCF of Numerators i.e. for 26,253,860 is 1

LCM of denominators i.e. for 69,11,133 is 100947.

Thus, GCF of Fractions is 1/100947.Finally, GCF of Fractions for 26/69, 253/11, 860/133 is 1/100947.