How to Find GCF of 28/839, 28/404, 391/273?

GCF of 28/839, 28/404, 391/273

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 28/839, 28/404, 391/273 i.e 1/92534988 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/839, 28/404, 391/273.

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 28/839,28/404,391/273?

Given fractions are 28/839,28/404,391/273

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 28/839,28/404,391/273, numerators are 28,28,391

Denominators are 839,404,273

The GCF of 28,28,391 is 1 .

LCM of 839,404,273 is 92534988.

The greatest common factor of 28/839,28/404,391/273 = [GCF of 28,28,391]/[LCM of 839,404,273]= 1/92534988

Therefore, the GCF of 28/839,28/404,391/273 is 1/92534988.

Greatest Common Factor of 28,28,391

To find the highest common factor of 28,28,391, 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 391 are 1, 17, 23, 391

The HCF of 28,28,391 is 1.

Lets's calculate GCF of 28,28,391

Greatest Common Factor (GCF) of 28,28,391 By Common Division

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

Greatest Common Factor of 28,28,391 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 391

1,17,23,391

Greatest Common Factor

We found the factors 28,28,391 . The biggest common factor number is the GCF number.
So the greatest common factor 28,28,391 is 1.

Lets's calculate LCM of 839,404,273

Lowest Common Multiple of 839,404,273 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 92534988

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/92534988

Therefore, the GCF of Fractions 28/839,28/404,391/273 is 1/92534988

Least Common Multiple of 839,404,273 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 839,404,273 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(839,404,273) = 1

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

GCF(839,404,273) x common factors =1 x 1 = 1

LCM(839,404,273) = ( 839 × 404 × 273 ) / 1

LCM(839,404,273) = 92534988 / 1

LCM(839,404,273) = 92534988

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 28/839, 28/404, 391/273

1. What is the HCF of 28,28,391?

The HCF of 28,28,391 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 28/839, 28/404, 391/273?

Answer: GCF of Numerators as per given numbers 28/839, 28/404, 391/273 is

GCF of Numerators i.e. for 28,28,391 is 1

LCM of denominators i.e. for 839,404,273 is 92534988.

Thus, GCF of Fractions is 1/92534988.Finally, GCF of Fractions for 28/839, 28/404, 391/273 is 1/92534988.