How to Find GCF of 28/489, 28/640, 774/109?

GCF of 28/489, 28/640, 774/109

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 28/489, 28/640, 774/109 i.e 2/34112640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/489, 28/640, 774/109.

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 28/489,28/640,774/109?

Given fractions are 28/489,28/640,774/109

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 28/489,28/640,774/109, numerators are 28,28,774

Denominators are 489,640,109

The GCF of 28,28,774 is 2 .

LCM of 489,640,109 is 34112640.

The greatest common factor of 28/489,28/640,774/109 = [GCF of 28,28,774]/[LCM of 489,640,109]= 2/34112640

Therefore, the GCF of 28/489,28/640,774/109 is 2/34112640.

Greatest Common Factor of 28,28,774

To find the highest common factor of 28,28,774, 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 774 are 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

The HCF of 28,28,774 is 2.

Lets's calculate GCF of 28,28,774

Greatest Common Factor (GCF) of 28,28,774 By Common Division

2	28, 28, 774
	14, 14, 387

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

Greatest Common Factor of 28,28,774 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 28

1,2,4,7,14,28

Now, list down the factors of 774

1,2,3,6,9,18,43,86,129,258,387,774

Greatest Common Factor

We found the factors 28,28,774 . The biggest common factor number is the GCF number.
So the greatest common factor 28,28,774 is 2.

Lets's calculate LCM of 489,640,109

Lowest Common Multiple of 489,640,109 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 34112640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/34112640

Therefore, the GCF of Fractions 28/489,28/640,774/109 is 2/34112640

Least Common Multiple of 489,640,109 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 489,640,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(489,640,109) = 1

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

GCF(489,640,109) x common factors =1 x 1 = 1

LCM(489,640,109) = ( 489 × 640 × 109 ) / 1

LCM(489,640,109) = 34112640 / 1

LCM(489,640,109) = 34112640

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 28/489, 28/640, 774/109

1. What is the HCF of 28,28,774?

The HCF of 28,28,774 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 28/489, 28/640, 774/109?

Answer: GCF of Numerators as per given numbers 28/489, 28/640, 774/109 is

GCF of Numerators i.e. for 28,28,774 is 2

LCM of denominators i.e. for 489,640,109 is 34112640.

Thus, GCF of Fractions is 2/34112640.Finally, GCF of Fractions for 28/489, 28/640, 774/109 is 2/34112640.