How to Find GCF of 24/468, 18/971, 349/121?

GCF of 24/468, 18/971, 349/121

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 24/468, 18/971, 349/121 i.e 1/54985788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 24/468, 18/971, 349/121.

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 24/468,18/971,349/121?

Given fractions are 24/468,18/971,349/121

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 24/468,18/971,349/121, numerators are 24,18,349

Denominators are 468,971,121

The GCF of 24,18,349 is 1 .

LCM of 468,971,121 is 54985788.

The greatest common factor of 24/468,18/971,349/121 = [GCF of 24,18,349]/[LCM of 468,971,121]= 1/54985788

Therefore, the GCF of 24/468,18/971,349/121 is 1/54985788.

Greatest Common Factor of 24,18,349

To find the highest common factor of 24,18,349, we have to find the factors of both numbers and list the highest common factor.

The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24

The factors of 18 are 1, 2, 3, 6, 9, 18

The factors of 349 are 1, 349

The HCF of 24,18,349 is 1.

Lets's calculate GCF of 24,18,349

Greatest Common Factor (GCF) of 24,18,349 By Common Division

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

Greatest Common Factor of 24,18,349 By Matching Biggest Common Factor Method

Now, list down the factors of 24

1,2,3,4,6,8,12,24

Now, list down the factors of 18

1,2,3,6,9,18

Now, list down the factors of 349

1,349

Greatest Common Factor

We found the factors 24,18,349 . The biggest common factor number is the GCF number.
So the greatest common factor 24,18,349 is 1.

Lets's calculate LCM of 468,971,121

Lowest Common Multiple of 468,971,121 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 54985788

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54985788

Therefore, the GCF of Fractions 24/468,18/971,349/121 is 1/54985788

Least Common Multiple of 468,971,121 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 468,971,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(468,971,121) = 1

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

GCF(468,971,121) x common factors =1 x 1 = 1

LCM(468,971,121) = ( 468 × 971 × 121 ) / 1

LCM(468,971,121) = 54985788 / 1

LCM(468,971,121) = 54985788

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 24/468, 18/971, 349/121

1. What is the HCF of 24,18,349?

The HCF of 24,18,349 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 24/468, 18/971, 349/121?

Answer: GCF of Numerators as per given numbers 24/468, 18/971, 349/121 is

GCF of Numerators i.e. for 24,18,349 is 1

LCM of denominators i.e. for 468,971,121 is 54985788.

Thus, GCF of Fractions is 1/54985788.Finally, GCF of Fractions for 24/468, 18/971, 349/121 is 1/54985788.