How to Find GCF of 29/258, 161/797, 457/146?

GCF of 29/258, 161/797, 457/146

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 29/258, 161/797, 457/146 i.e 1/15010698 easily. The following is the detailed procedure to determine the greatest common factor of fractions 29/258, 161/797, 457/146.

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 29/258,161/797,457/146?

Given fractions are 29/258,161/797,457/146

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 29/258,161/797,457/146, numerators are 29,161,457

Denominators are 258,797,146

The GCF of 29,161,457 is 1 .

LCM of 258,797,146 is 15010698.

The greatest common factor of 29/258,161/797,457/146 = [GCF of 29,161,457]/[LCM of 258,797,146]= 1/15010698

Therefore, the GCF of 29/258,161/797,457/146 is 1/15010698.

Greatest Common Factor of 29,161,457

To find the highest common factor of 29,161,457, we have to find the factors of both numbers and list the highest common factor.

The factors of 29 are 1, 29

The factors of 161 are 1, 7, 23, 161

The factors of 457 are 1, 457

The HCF of 29,161,457 is 1.

Lets's calculate GCF of 29,161,457

Greatest Common Factor (GCF) of 29,161,457 By Common Division

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

Greatest Common Factor of 29,161,457 By Matching Biggest Common Factor Method

Now, list down the factors of 29

1,29

Now, list down the factors of 161

1,7,23,161

Now, list down the factors of 457

1,457

Greatest Common Factor

We found the factors 29,161,457 . The biggest common factor number is the GCF number.
So the greatest common factor 29,161,457 is 1.

Lets's calculate LCM of 258,797,146

Lowest Common Multiple of 258,797,146 using Common Division

2	258, 797, 146
	129, 797, 73

∴ So the LCM of the given numbers is 2 x 129 x 797 x 73 = 15010698

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15010698

Therefore, the GCF of Fractions 29/258,161/797,457/146 is 1/15010698

Least Common Multiple of 258,797,146 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 258,797,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,797,146) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(258,797,146) x common factors =1 x 2 = 2

LCM(258,797,146) = ( 258 × 797 × 146 ) / 2

LCM(258,797,146) = 30021396 / 2

LCM(258,797,146) = 15010698

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FAQs on GCF of Fractions of 29/258, 161/797, 457/146

1. What is the HCF of 29,161,457?

The HCF of 29,161,457 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 29/258, 161/797, 457/146?

Answer: GCF of Numerators as per given numbers 29/258, 161/797, 457/146 is

GCF of Numerators i.e. for 29,161,457 is 1

LCM of denominators i.e. for 258,797,146 is 15010698.

Thus, GCF of Fractions is 1/15010698.Finally, GCF of Fractions for 29/258, 161/797, 457/146 is 1/15010698.