How to Find GCF of 91/31, 26/33, 345/644?

GCF of 91/31, 26/33, 345/644

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 91/31, 26/33, 345/644 i.e 1/658812 easily. The following is the detailed procedure to determine the greatest common factor of fractions 91/31, 26/33, 345/644.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 91/31,26/33,345/644?

Given fractions are 91/31,26/33,345/644

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 91/31,26/33,345/644, numerators are 91,26,345

Denominators are 31,33,644

The GCF of 91,26,345 is 1 .

LCM of 31,33,644 is 658812.

The greatest common factor of 91/31,26/33,345/644 = [GCF of 91,26,345]/[LCM of 31,33,644]= 1/658812

Therefore, the GCF of 91/31,26/33,345/644 is 1/658812.

Greatest Common Factor of 91,26,345

To find the highest common factor of 91,26,345, we have to find the factors of both numbers and list the highest common factor.

The factors of 91 are 1, 7, 13, 91

The factors of 26 are 1, 2, 13, 26

The factors of 345 are 1, 3, 5, 15, 23, 69, 115, 345

The HCF of 91,26,345 is 1.

Lets's calculate GCF of 91,26,345

Greatest Common Factor (GCF) of 91,26,345 By Common Division

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

Greatest Common Factor of 91,26,345 By Matching Biggest Common Factor Method

Now, list down the factors of 91

1,7,13,91

Now, list down the factors of 26

1,2,13,26

Now, list down the factors of 345

1,3,5,15,23,69,115,345

Greatest Common Factor

We found the factors 91,26,345 . The biggest common factor number is the GCF number.
So the greatest common factor 91,26,345 is 1.

Lets's calculate LCM of 31,33,644

Lowest Common Multiple of 31,33,644 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 658812

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/658812

Therefore, the GCF of Fractions 91/31,26/33,345/644 is 1/658812

Least Common Multiple of 31,33,644 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 31,33,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,33,644) = 1

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

GCF(31,33,644) x common factors =1 x 1 = 1

LCM(31,33,644) = ( 31 × 33 × 644 ) / 1

LCM(31,33,644) = 658812 / 1

LCM(31,33,644) = 658812

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FAQs on GCF of Fractions of 91/31, 26/33, 345/644

1. What is the HCF of 91,26,345?

The HCF of 91,26,345 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 91/31, 26/33, 345/644?

Answer: GCF of Numerators as per given numbers 91/31, 26/33, 345/644 is

GCF of Numerators i.e. for 91,26,345 is 1

LCM of denominators i.e. for 31,33,644 is 658812.

Thus, GCF of Fractions is 1/658812.Finally, GCF of Fractions for 91/31, 26/33, 345/644 is 1/658812.