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GCF of 729/222, 381/568

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 729/222, 381/568 i.e 3/63048 easily. The following is the detailed procedure to determine the greatest common factor of fractions 729/222, 381/568.

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 729/222,381/568?

Given fractions are 729/222,381/568

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 729/222,381/568, numerators are 729,381

Denominators are 222,568

The GCF of 729,381 is 3 .

LCM of 222,568 is 63048.

The greatest common factor of 729/222,381/568 = [GCF of 729,381]/[LCM of 222,568]= 3/63048

Therefore, the GCF of 729/222,381/568 is 3/63048.

Greatest Common Factor of 729,381

To find the highest common factor of 729,381, we have to find the factors of both numbers and list the highest common factor.

The factors of 729 are 1, 3, 9, 27, 81, 243, 729

The factors of 381 are 1, 3, 127, 381

The HCF of 729,381 is 3.

Lets's calculate GCF of 729,381

Greatest Common Factor (GCF) of 729,381 By Common Division

3 729, 381
243, 127

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 729,381 By Matching Biggest Common Factor Method

Greatest Common Factor of 729,381 By Matching Biggest Common Factor Method

Now, list down the factors of 729

:

1,3,9,27,81,243,729

Now, list down the factors of 381

:

1,3,127,381

Greatest Common Factor

We found the factors 729,381 . The biggest common factor number is the GCF number.
So the greatest common factor 729,381 is 3.

Lets's calculate LCM of 222,568

Lowest Common Multiple of 222,568 using Common Division

2 222, 568
111, 284

∴ So the LCM of the given numbers is 2 x 111 x 284 = 63048

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/63048

Therefore, the GCF of Fractions 729/222,381/568 is 3/63048

Least Common Multiple of 222,568 with GCF Formula

Least Common Multiple of 222,568 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 222,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(222,568) = 2

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

GCF(222,568) x common factors =2 x 1 = 2

LCM(222,568) = ( 222 × 568 ) / 2

LCM(222,568) = 126096 / 2

LCM(222,568) = 63048


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FAQs on GCF of Fractions of 729/222, 381/568

1. What is the HCF of 729,381?

The HCF of 729,381 is 3

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 729/222, 381/568?

Answer: GCF of Numerators as per given numbers 729/222, 381/568 is

GCF of Numerators i.e. for 729,381 is 3

LCM of denominators i.e. for 222,568 is 63048.

Thus, GCF of Fractions is 3/63048.Finally, GCF of Fractions for 729/222, 381/568 is 3/63048.