How to Find GCF of 724/687, 4864/565?

GCF of 724/687, 4864/565

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 724/687, 4864/565 i.e 4/388155 easily. The following is the detailed procedure to determine the greatest common factor of fractions 724/687, 4864/565.

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 724/687,4864/565?

Given fractions are 724/687,4864/565

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 724/687,4864/565, numerators are 724,4864

Denominators are 687,565

The GCF of 724,4864 is 4 .

LCM of 687,565 is 388155.

The greatest common factor of 724/687,4864/565 = [GCF of 724,4864]/[LCM of 687,565]= 4/388155

Therefore, the GCF of 724/687,4864/565 is 4/388155.

Greatest Common Factor of 724,4864

To find the highest common factor of 724,4864, 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 4864 are 1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 128, 152, 256, 304, 608, 1216, 2432, 4864

The HCF of 724,4864 is 4.

Lets's calculate GCF of 724,4864

Greatest Common Factor (GCF) of 724,4864 By Common Division

2	724, 4864
2	362, 2432
	181, 1216

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

Greatest Common Factor of 724,4864 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 4864

1,2,4,8,16,19,32,38,64,76,128,152,256,304,608,1216,2432,4864

Greatest Common Factor

We found the factors 724,4864 . The biggest common factor number is the GCF number.
So the greatest common factor 724,4864 is 4.

Lets's calculate LCM of 687,565

Lowest Common Multiple of 687,565 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 388155

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/388155

Therefore, the GCF of Fractions 724/687,4864/565 is 4/388155

Least Common Multiple of 687,565 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 687,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,565) = 1

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

GCF(687,565) x common factors =1 x 1 = 1

LCM(687,565) = ( 687 × 565 ) / 1

LCM(687,565) = 388155 / 1

LCM(687,565) = 388155

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FAQs on GCF of Fractions of 724/687, 4864/565

1. What is the HCF of 724,4864?

The HCF of 724,4864 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 724/687, 4864/565?

Answer: GCF of Numerators as per given numbers 724/687, 4864/565 is

GCF of Numerators i.e. for 724,4864 is 4

LCM of denominators i.e. for 687,565 is 388155.

Thus, GCF of Fractions is 4/388155.Finally, GCF of Fractions for 724/687, 4864/565 is 4/388155.