Greatest Common Factor of 90/91, 395/26, 545/211

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 90/91, 395/26, 545/211

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 90/91,395/26,545/211

Given fractions are 90/91,395/26,545/211

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 90,395,545

Greatest Common Factor of Numerators i.e. GCF of 90,395,545 is 5 .

LCM of Denominators means LCM of 91,26,211 as per the given fractions.

LCM of 91,26,211 is 38402 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 90,395,545

GCF of Fractions 90/91,395/26,545/211 is 5/38402

5 90, 395, 545
18, 79, 109

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 90,395,545 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,395,545 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1,5,79,395

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Greatest Common Factor

We found the factors 90,395,545 . The biggest common factor number is the GCF number.
So the greatest common factor 90,395,545 is 5.

Lets's calculate LCM of 91,26,211

13 91, 26, 211
7, 2, 211

∴ So the LCM of the given numbers is 13 x 7 x 2 x 211 = 38402

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/38402

Therefore, the GCF of Fractions 90/91,395/26,545/211 is 5/38402

Least Common Multiple of 91,26,211 with GCF Formula

Least Common Multiple of 91,26,211 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 91,26,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,26,211) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(91,26,211) x common factors =1 x 13 = 13

LCM(91,26,211) = ( 91 × 26 × 211 ) / 13

LCM(91,26,211) = 499226 / 13

LCM(91,26,211) = 38402


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 90/91, 395/26, 545/211

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 90/91, 395/26, 545/211?

Answer: GCF of Numerators as per given numbers 90/91, 395/26, 545/211 is

GCF of Numerators i.e. for 90,395,545 is 5

LCM of denominators i.e. for 91,26,211 is 38402.

Thus, GCF of Fractions is 5/38402.Finally, GCF of Fractions for 90/91, 395/26, 545/211 is 5/38402.