How to Find GCF of 27/724, 28/564, 607/415?

GCF of 27/724, 28/564, 607/415

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 27/724, 28/564, 607/415 i.e 1/42364860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 27/724, 28/564, 607/415.

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 27/724,28/564,607/415?

Given fractions are 27/724,28/564,607/415

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 27/724,28/564,607/415, numerators are 27,28,607

Denominators are 724,564,415

The GCF of 27,28,607 is 1 .

LCM of 724,564,415 is 42364860.

The greatest common factor of 27/724,28/564,607/415 = [GCF of 27,28,607]/[LCM of 724,564,415]= 1/42364860

Therefore, the GCF of 27/724,28/564,607/415 is 1/42364860.

Greatest Common Factor of 27,28,607

To find the highest common factor of 27,28,607, we have to find the factors of both numbers and list the highest common factor.

The factors of 27 are 1, 3, 9, 27

The factors of 28 are 1, 2, 4, 7, 14, 28

The factors of 607 are 1, 607

The HCF of 27,28,607 is 1.

Lets's calculate GCF of 27,28,607

Greatest Common Factor (GCF) of 27,28,607 By Common Division

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

Greatest Common Factor of 27,28,607 By Matching Biggest Common Factor Method

Now, list down the factors of 27

1,3,9,27

Now, list down the factors of 28

1,2,4,7,14,28

Now, list down the factors of 607

1,607

Greatest Common Factor

We found the factors 27,28,607 . The biggest common factor number is the GCF number.
So the greatest common factor 27,28,607 is 1.

Lets's calculate LCM of 724,564,415

Lowest Common Multiple of 724,564,415 using Common Division

2	724, 564, 415
2	362, 282, 415
	181, 141, 415

∴ So the LCM of the given numbers is 2 x 2 x 181 x 141 x 415 = 42364860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42364860

Therefore, the GCF of Fractions 27/724,28/564,607/415 is 1/42364860

Least Common Multiple of 724,564,415 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 724,564,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,564,415) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(724,564,415) x common factors =1 x 4 = 4

LCM(724,564,415) = ( 724 × 564 × 415 ) / 4

LCM(724,564,415) = 169459440 / 4

LCM(724,564,415) = 42364860

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 27/724, 28/564, 607/415

1. What is the HCF of 27,28,607?

The HCF of 27,28,607 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 27/724, 28/564, 607/415?

Answer: GCF of Numerators as per given numbers 27/724, 28/564, 607/415 is

GCF of Numerators i.e. for 27,28,607 is 1

LCM of denominators i.e. for 724,564,415 is 42364860.

Thus, GCF of Fractions is 1/42364860.Finally, GCF of Fractions for 27/724, 28/564, 607/415 is 1/42364860.