Greatest Common Factor of 26/90, 101/29, 411/377

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 26/90, 101/29, 411/377

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 26/90,101/29,411/377

Given fractions are 26/90,101/29,411/377

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 26,101,411

Greatest Common Factor of Numerators i.e. GCF of 26,101,411 is 1 .

LCM of Denominators means LCM of 90,29,377 as per the given fractions.

LCM of 90,29,377 is 33930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 26,101,411

GCF of Fractions 26/90,101/29,411/377 is 1/33930

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

Greatest Common Factor of 26,101,411 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,101,411 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 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Greatest Common Factor

We found the factors 26,101,411 . The biggest common factor number is the GCF number.
So the greatest common factor 26,101,411 is 1.


Lets's calculate LCM of 90,29,377

29 90, 29, 377
90, 1, 13

∴ So the LCM of the given numbers is 29 x 90 x 1 x 13 = 33930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33930

Therefore, the GCF of Fractions 26/90,101/29,411/377 is 1/33930

Least Common Multiple of 90,29,377 with GCF Formula

Least Common Multiple of 90,29,377 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 90,29,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,29,377) = 1

common factors(in case of two or more numbers have common factors) = 29

GCF(90,29,377) x common factors =1 x 29 = 29

LCM(90,29,377) = ( 90 × 29 × 377 ) / 29

LCM(90,29,377) = 983970 / 29

LCM(90,29,377) = 33930


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 26/90, 101/29, 411/377

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 26/90, 101/29, 411/377?

Answer: GCF of Numerators as per given numbers 26/90, 101/29, 411/377 is

GCF of Numerators i.e. for 26,101,411 is 1

LCM of denominators i.e. for 90,29,377 is 33930.

Thus, GCF of Fractions is 1/33930.Finally, GCF of Fractions for 26/90, 101/29, 411/377 is 1/33930.