How to Find GCF of 235/41, 463/79, 613/22?

GCF of 235/41, 463/79, 613/22

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 235/41, 463/79, 613/22 i.e 1/71258 easily. The following is the detailed procedure to determine the greatest common factor of fractions 235/41, 463/79, 613/22.

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 235/41,463/79,613/22?

Given fractions are 235/41,463/79,613/22

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 235/41,463/79,613/22, numerators are 235,463,613

Denominators are 41,79,22

The GCF of 235,463,613 is 1 .

LCM of 41,79,22 is 71258.

The greatest common factor of 235/41,463/79,613/22 = [GCF of 235,463,613]/[LCM of 41,79,22]= 1/71258

Therefore, the GCF of 235/41,463/79,613/22 is 1/71258.

Greatest Common Factor of 235,463,613

To find the highest common factor of 235,463,613, we have to find the factors of both numbers and list the highest common factor.

The factors of 235 are 1, 5, 47, 235

The factors of 463 are 1, 463

The factors of 613 are 1, 613

The HCF of 235,463,613 is 1.

Lets's calculate GCF of 235,463,613

Greatest Common Factor (GCF) of 235,463,613 By Common Division

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

Greatest Common Factor of 235,463,613 By Matching Biggest Common Factor Method

Now, list down the factors of 235

1,5,47,235

Now, list down the factors of 463

1,463

Now, list down the factors of 613

1,613

Greatest Common Factor

We found the factors 235,463,613 . The biggest common factor number is the GCF number.
So the greatest common factor 235,463,613 is 1.

Lets's calculate LCM of 41,79,22

Lowest Common Multiple of 41,79,22 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 71258

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71258

Therefore, the GCF of Fractions 235/41,463/79,613/22 is 1/71258

Least Common Multiple of 41,79,22 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 41,79,22 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,79,22) = 1

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

GCF(41,79,22) x common factors =1 x 1 = 1

LCM(41,79,22) = ( 41 × 79 × 22 ) / 1

LCM(41,79,22) = 71258 / 1

LCM(41,79,22) = 71258

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FAQs on GCF of Fractions of 235/41, 463/79, 613/22

1. What is the HCF of 235,463,613?

The HCF of 235,463,613 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 235/41, 463/79, 613/22?

Answer: GCF of Numerators as per given numbers 235/41, 463/79, 613/22 is

GCF of Numerators i.e. for 235,463,613 is 1

LCM of denominators i.e. for 41,79,22 is 71258.

Thus, GCF of Fractions is 1/71258.Finally, GCF of Fractions for 235/41, 463/79, 613/22 is 1/71258.