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GCF of 724/88, 359/561

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 724/88, 359/561 i.e 1/4488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 724/88, 359/561.

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 724/88,359/561?

Given fractions are 724/88,359/561

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 724/88,359/561, numerators are 724,359

Denominators are 88,561

The GCF of 724,359 is 1 .

LCM of 88,561 is 4488.

The greatest common factor of 724/88,359/561 = [GCF of 724,359]/[LCM of 88,561]= 1/4488

Therefore, the GCF of 724/88,359/561 is 1/4488.

Greatest Common Factor of 724,359

To find the highest common factor of 724,359, 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 359 are 1, 359

The HCF of 724,359 is 1.

Lets's calculate GCF of 724,359

Greatest Common Factor (GCF) of 724,359 By Common Division

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

Greatest Common Factor of 724,359 By Matching Biggest Common Factor Method

Greatest Common Factor of 724,359 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 359

:

1,359

Greatest Common Factor

We found the factors 724,359 . The biggest common factor number is the GCF number.
So the greatest common factor 724,359 is 1.


Lets's calculate LCM of 88,561

Lowest Common Multiple of 88,561 using Common Division

11 88, 561
8, 51

∴ So the LCM of the given numbers is 11 x 8 x 51 = 4488

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4488

Therefore, the GCF of Fractions 724/88,359/561 is 1/4488

Least Common Multiple of 88,561 with GCF Formula

Least Common Multiple of 88,561 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 88,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,561) = 11

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

GCF(88,561) x common factors =11 x 1 = 11

LCM(88,561) = ( 88 × 561 ) / 11

LCM(88,561) = 49368 / 11

LCM(88,561) = 4488


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 724/88, 359/561

1. What is the HCF of 724,359?

The HCF of 724,359 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 724/88, 359/561?

Answer: GCF of Numerators as per given numbers 724/88, 359/561 is

GCF of Numerators i.e. for 724,359 is 1

LCM of denominators i.e. for 88,561 is 4488.

Thus, GCF of Fractions is 1/4488.Finally, GCF of Fractions for 724/88, 359/561 is 1/4488.