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GCF of 28/26, 54/90, 654/612

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 28/26, 54/90, 654/612 i.e 2/39780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/26, 54/90, 654/612.

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 28/26,54/90,654/612?

Given fractions are 28/26,54/90,654/612

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 28/26,54/90,654/612, numerators are 28,54,654

Denominators are 26,90,612

The GCF of 28,54,654 is 2 .

LCM of 26,90,612 is 39780.

The greatest common factor of 28/26,54/90,654/612 = [GCF of 28,54,654]/[LCM of 26,90,612]= 2/39780

Therefore, the GCF of 28/26,54/90,654/612 is 2/39780.

Greatest Common Factor of 28,54,654

To find the highest common factor of 28,54,654, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54

The factors of 654 are 1, 2, 3, 6, 109, 218, 327, 654

The HCF of 28,54,654 is 2.

Lets's calculate GCF of 28,54,654

Greatest Common Factor (GCF) of 28,54,654 By Common Division

2 28, 54, 654
14, 27, 327

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

Greatest Common Factor of 28,54,654 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,54,654 By Matching Biggest Common Factor Method

Now, list down the factors of 28

:

1,2,4,7,14,28

Now, list down the factors of 54

:

1,2,3,6,9,18,27,54

Now, list down the factors of 654

:

1,2,3,6,109,218,327,654

Greatest Common Factor

We found the factors 28,54,654 . The biggest common factor number is the GCF number.
So the greatest common factor 28,54,654 is 2.


Lets's calculate LCM of 26,90,612

Lowest Common Multiple of 26,90,612 using Common Division

2 26, 90, 612
3 13, 45, 306
3 13, 15, 102
13, 5, 34

∴ So the LCM of the given numbers is 2 x 3 x 3 x 13 x 5 x 34 = 39780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/39780

Therefore, the GCF of Fractions 28/26,54/90,654/612 is 2/39780

Least Common Multiple of 26,90,612 with GCF Formula

Least Common Multiple of 26,90,612 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 26,90,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,90,612) = 2

common factors(in case of two or more numbers have common factors) = 18

GCF(26,90,612) x common factors =2 x 18 = 36

LCM(26,90,612) = ( 26 × 90 × 612 ) / 36

LCM(26,90,612) = 1432080 / 36

LCM(26,90,612) = 39780


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 28/26, 54/90, 654/612

1. What is the HCF of 28,54,654?

The HCF of 28,54,654 is 2

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 28/26, 54/90, 654/612?

Answer: GCF of Numerators as per given numbers 28/26, 54/90, 654/612 is

GCF of Numerators i.e. for 28,54,654 is 2

LCM of denominators i.e. for 26,90,612 is 39780.

Thus, GCF of Fractions is 2/39780.Finally, GCF of Fractions for 28/26, 54/90, 654/612 is 2/39780.