How to Find GCF of 530/28, 606/18, 239/19?

GCF of 530/28, 606/18, 239/19

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 530/28, 606/18, 239/19 i.e 1/4788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 530/28, 606/18, 239/19.

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 530/28,606/18,239/19?

Given fractions are 530/28,606/18,239/19

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 530/28,606/18,239/19, numerators are 530,606,239

Denominators are 28,18,19

The GCF of 530,606,239 is 1 .

LCM of 28,18,19 is 4788.

The greatest common factor of 530/28,606/18,239/19 = [GCF of 530,606,239]/[LCM of 28,18,19]= 1/4788

Therefore, the GCF of 530/28,606/18,239/19 is 1/4788.

Greatest Common Factor of 530,606,239

To find the highest common factor of 530,606,239, we have to find the factors of both numbers and list the highest common factor.

The factors of 530 are 1, 2, 5, 10, 53, 106, 265, 530

The factors of 606 are 1, 2, 3, 6, 101, 202, 303, 606

The factors of 239 are 1, 239

The HCF of 530,606,239 is 1.

Lets's calculate GCF of 530,606,239

Greatest Common Factor (GCF) of 530,606,239 By Common Division

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

Greatest Common Factor of 530,606,239 By Matching Biggest Common Factor Method

Now, list down the factors of 530

1,2,5,10,53,106,265,530

Now, list down the factors of 606

1,2,3,6,101,202,303,606

Now, list down the factors of 239

1,239

Greatest Common Factor

We found the factors 530,606,239 . The biggest common factor number is the GCF number.
So the greatest common factor 530,606,239 is 1.

Lets's calculate LCM of 28,18,19

Lowest Common Multiple of 28,18,19 using Common Division

2	28, 18, 19
	14, 9, 19

∴ So the LCM of the given numbers is 2 x 14 x 9 x 19 = 4788

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4788

Therefore, the GCF of Fractions 530/28,606/18,239/19 is 1/4788

Least Common Multiple of 28,18,19 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 28,18,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,18,19) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(28,18,19) x common factors =1 x 2 = 2

LCM(28,18,19) = ( 28 × 18 × 19 ) / 2

LCM(28,18,19) = 9576 / 2

LCM(28,18,19) = 4788

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FAQs on GCF of Fractions of 530/28, 606/18, 239/19

1. What is the HCF of 530,606,239?

The HCF of 530,606,239 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 530/28, 606/18, 239/19?

Answer: GCF of Numerators as per given numbers 530/28, 606/18, 239/19 is

GCF of Numerators i.e. for 530,606,239 is 1

LCM of denominators i.e. for 28,18,19 is 4788.

Thus, GCF of Fractions is 1/4788.Finally, GCF of Fractions for 530/28, 606/18, 239/19 is 1/4788.