How to Find GCF of 17/861, 20/855, 731/557?

GCF of 17/861, 20/855, 731/557

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 17/861, 20/855, 731/557 i.e 1/136679445 easily. The following is the detailed procedure to determine the greatest common factor of fractions 17/861, 20/855, 731/557.

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 17/861,20/855,731/557?

Given fractions are 17/861,20/855,731/557

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 17/861,20/855,731/557, numerators are 17,20,731

Denominators are 861,855,557

The GCF of 17,20,731 is 1 .

LCM of 861,855,557 is 136679445.

The greatest common factor of 17/861,20/855,731/557 = [GCF of 17,20,731]/[LCM of 861,855,557]= 1/136679445

Therefore, the GCF of 17/861,20/855,731/557 is 1/136679445.

Greatest Common Factor of 17,20,731

To find the highest common factor of 17,20,731, we have to find the factors of both numbers and list the highest common factor.

The factors of 17 are 1, 17

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

The factors of 731 are 1, 17, 43, 731

The HCF of 17,20,731 is 1.

Lets's calculate GCF of 17,20,731

Greatest Common Factor (GCF) of 17,20,731 By Common Division

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

Greatest Common Factor of 17,20,731 By Matching Biggest Common Factor Method

Now, list down the factors of 17

1,17

Now, list down the factors of 20

1,2,4,5,10,20

Now, list down the factors of 731

1,17,43,731

Greatest Common Factor

We found the factors 17,20,731 . The biggest common factor number is the GCF number.
So the greatest common factor 17,20,731 is 1.

Lets's calculate LCM of 861,855,557

Lowest Common Multiple of 861,855,557 using Common Division

3	861, 855, 557
	287, 285, 557

∴ So the LCM of the given numbers is 3 x 287 x 285 x 557 = 136679445

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/136679445

Therefore, the GCF of Fractions 17/861,20/855,731/557 is 1/136679445

Least Common Multiple of 861,855,557 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 861,855,557 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(861,855,557) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(861,855,557) x common factors =1 x 3 = 3

LCM(861,855,557) = ( 861 × 855 × 557 ) / 3

LCM(861,855,557) = 410038335 / 3

LCM(861,855,557) = 136679445

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 17/861, 20/855, 731/557

1. What is the HCF of 17,20,731?

The HCF of 17,20,731 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 17/861, 20/855, 731/557?

Answer: GCF of Numerators as per given numbers 17/861, 20/855, 731/557 is

GCF of Numerators i.e. for 17,20,731 is 1

LCM of denominators i.e. for 861,855,557 is 136679445.

Thus, GCF of Fractions is 1/136679445.Finally, GCF of Fractions for 17/861, 20/855, 731/557 is 1/136679445.