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GCF of 724/950, 159/924

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 724/950, 159/924 i.e 1/438900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 724/950, 159/924.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 724/950,159/924?

Given fractions are 724/950,159/924

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 724/950,159/924, numerators are 724,159

Denominators are 950,924

The GCF of 724,159 is 1 .

LCM of 950,924 is 438900.

The greatest common factor of 724/950,159/924 = [GCF of 724,159]/[LCM of 950,924]= 1/438900

Therefore, the GCF of 724/950,159/924 is 1/438900.

Greatest Common Factor of 724,159

To find the highest common factor of 724,159, we have to find the factors of both numbers and list the highest common factor.

The factors of 724 are 1, 2, 4, 181, 362, 724

The factors of 159 are 1, 3, 53, 159

The HCF of 724,159 is 1.

Lets's calculate GCF of 724,159

Greatest Common Factor (GCF) of 724,159 By Common Division

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

Greatest Common Factor of 724,159 By Matching Biggest Common Factor Method

Greatest Common Factor of 724,159 By Matching Biggest Common Factor Method

Now, list down the factors of 724

:

1,2,4,181,362,724

Now, list down the factors of 159

:

1,3,53,159

Greatest Common Factor

We found the factors 724,159 . The biggest common factor number is the GCF number.
So the greatest common factor 724,159 is 1.

Lets's calculate LCM of 950,924

Lowest Common Multiple of 950,924 using Common Division

2 950, 924
475, 462

∴ So the LCM of the given numbers is 2 x 475 x 462 = 438900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/438900

Therefore, the GCF of Fractions 724/950,159/924 is 1/438900

Least Common Multiple of 950,924 with GCF Formula

Least Common Multiple of 950,924 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 950,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(950,924) = 2

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

GCF(950,924) x common factors =2 x 1 = 2

LCM(950,924) = ( 950 × 924 ) / 2

LCM(950,924) = 877800 / 2

LCM(950,924) = 438900


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FAQs on GCF of Fractions of 724/950, 159/924

1. What is the HCF of 724,159?

The HCF of 724,159 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 724/950, 159/924?

Answer: GCF of Numerators as per given numbers 724/950, 159/924 is

GCF of Numerators i.e. for 724,159 is 1

LCM of denominators i.e. for 950,924 is 438900.

Thus, GCF of Fractions is 1/438900.Finally, GCF of Fractions for 724/950, 159/924 is 1/438900.