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GCF of 724/950, 772/452

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, 772/452 i.e 4/214700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 724/950, 772/452.

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 724/950,772/452?

Given fractions are 724/950,772/452

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 724/950,772/452, numerators are 724,772

Denominators are 950,452

The GCF of 724,772 is 4 .

LCM of 950,452 is 214700.

The greatest common factor of 724/950,772/452 = [GCF of 724,772]/[LCM of 950,452]= 4/214700

Therefore, the GCF of 724/950,772/452 is 4/214700.

Greatest Common Factor of 724,772

To find the highest common factor of 724,772, 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 772 are 1, 2, 4, 193, 386, 772

The HCF of 724,772 is 4.

Lets's calculate GCF of 724,772

Greatest Common Factor (GCF) of 724,772 By Common Division

2 724, 772
2 362, 386
181, 193

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 724,772 By Matching Biggest Common Factor Method

Greatest Common Factor of 724,772 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 772

:

1,2,4,193,386,772

Greatest Common Factor

We found the factors 724,772 . The biggest common factor number is the GCF number.
So the greatest common factor 724,772 is 4.

Lets's calculate LCM of 950,452

Lowest Common Multiple of 950,452 using Common Division

2 950, 452
475, 226

∴ So the LCM of the given numbers is 2 x 475 x 226 = 214700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/214700

Therefore, the GCF of Fractions 724/950,772/452 is 4/214700

Least Common Multiple of 950,452 with GCF Formula

Least Common Multiple of 950,452 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 950,452 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(950,452) = 2

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

GCF(950,452) x common factors =2 x 1 = 2

LCM(950,452) = ( 950 × 452 ) / 2

LCM(950,452) = 429400 / 2

LCM(950,452) = 214700


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FAQs on GCF of Fractions of 724/950, 772/452

1. What is the HCF of 724,772?

The HCF of 724,772 is 4

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, 772/452?

Answer: GCF of Numerators as per given numbers 724/950, 772/452 is

GCF of Numerators i.e. for 724,772 is 4

LCM of denominators i.e. for 950,452 is 214700.

Thus, GCF of Fractions is 4/214700.Finally, GCF of Fractions for 724/950, 772/452 is 4/214700.