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GCF of 20/259, 38/653, 542/112

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 20/259, 38/653, 542/112 i.e 2/2706032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/259, 38/653, 542/112.

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 20/259,38/653,542/112?

Given fractions are 20/259,38/653,542/112

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 20/259,38/653,542/112, numerators are 20,38,542

Denominators are 259,653,112

The GCF of 20,38,542 is 2 .

LCM of 259,653,112 is 2706032.

The greatest common factor of 20/259,38/653,542/112 = [GCF of 20,38,542]/[LCM of 259,653,112]= 2/2706032

Therefore, the GCF of 20/259,38/653,542/112 is 2/2706032.

Greatest Common Factor of 20,38,542

To find the highest common factor of 20,38,542, we have to find the factors of both numbers and list the highest common factor.

The factors of 20 are 1, 2, 4, 5, 10, 20

The factors of 38 are 1, 2, 19, 38

The factors of 542 are 1, 2, 271, 542

The HCF of 20,38,542 is 2.

Lets's calculate GCF of 20,38,542

Greatest Common Factor (GCF) of 20,38,542 By Common Division

2 20, 38, 542
10, 19, 271

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

Greatest Common Factor of 20,38,542 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,38,542 By Matching Biggest Common Factor Method

Now, list down the factors of 20

:

1,2,4,5,10,20

Now, list down the factors of 38

:

1,2,19,38

Now, list down the factors of 542

:

1,2,271,542

Greatest Common Factor

We found the factors 20,38,542 . The biggest common factor number is the GCF number.
So the greatest common factor 20,38,542 is 2.


Lets's calculate LCM of 259,653,112

Lowest Common Multiple of 259,653,112 using Common Division

7 259, 653, 112
37, 653, 16

∴ So the LCM of the given numbers is 7 x 37 x 653 x 16 = 2706032

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2706032

Therefore, the GCF of Fractions 20/259,38/653,542/112 is 2/2706032

Least Common Multiple of 259,653,112 with GCF Formula

Least Common Multiple of 259,653,112 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 259,653,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(259,653,112) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(259,653,112) x common factors =1 x 7 = 7

LCM(259,653,112) = ( 259 × 653 × 112 ) / 7

LCM(259,653,112) = 18942224 / 7

LCM(259,653,112) = 2706032


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 20/259, 38/653, 542/112

1. What is the HCF of 20,38,542?

The HCF of 20,38,542 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 20/259, 38/653, 542/112?

Answer: GCF of Numerators as per given numbers 20/259, 38/653, 542/112 is

GCF of Numerators i.e. for 20,38,542 is 2

LCM of denominators i.e. for 259,653,112 is 2706032.

Thus, GCF of Fractions is 2/2706032.Finally, GCF of Fractions for 20/259, 38/653, 542/112 is 2/2706032.