Greatest Common Factor of 724/24, 449/97, 271/190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 724/24, 449/97, 271/190

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 724/24,449/97,271/190

Given fractions are 724/24,449/97,271/190

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 724,449,271

Greatest Common Factor of Numerators i.e. GCF of 724,449,271 is 1 .

LCM of Denominators means LCM of 24,97,190 as per the given fractions.

LCM of 24,97,190 is 221160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 724,449,271

GCF of Fractions 724/24,449/97,271/190 is 1/221160

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

Greatest Common Factor of 724,449,271 By Matching Biggest Common Factor Method

Greatest Common Factor of 724,449,271 By Matching Biggest Common Factor Method

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Greatest Common Factor

We found the factors 724,449,271 . The biggest common factor number is the GCF number.
So the greatest common factor 724,449,271 is 1.

Lets's calculate LCM of 24,97,190

2 24, 97, 190
12, 97, 95

∴ So the LCM of the given numbers is 2 x 12 x 97 x 95 = 221160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/221160

Therefore, the GCF of Fractions 724/24,449/97,271/190 is 1/221160

Least Common Multiple of 24,97,190 with GCF Formula

Least Common Multiple of 24,97,190 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 24,97,190 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,97,190) = 1

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

GCF(24,97,190) x common factors =1 x 2 = 2

LCM(24,97,190) = ( 24 × 97 × 190 ) / 2

LCM(24,97,190) = 442320 / 2

LCM(24,97,190) = 221160


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 724/24, 449/97, 271/190

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 724/24, 449/97, 271/190?

Answer: GCF of Numerators as per given numbers 724/24, 449/97, 271/190 is

GCF of Numerators i.e. for 724,449,271 is 1

LCM of denominators i.e. for 24,97,190 is 221160.

Thus, GCF of Fractions is 1/221160.Finally, GCF of Fractions for 724/24, 449/97, 271/190 is 1/221160.