How to Find GCF of 20/545, 83/604, 671/871?

GCF of 20/545, 83/604, 671/871

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 20/545, 83/604, 671/871 i.e 1/286715780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/545, 83/604, 671/871.

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 20/545,83/604,671/871?

Given fractions are 20/545,83/604,671/871

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 20/545,83/604,671/871, numerators are 20,83,671

Denominators are 545,604,871

The GCF of 20,83,671 is 1 .

LCM of 545,604,871 is 286715780.

The greatest common factor of 20/545,83/604,671/871 = [GCF of 20,83,671]/[LCM of 545,604,871]= 1/286715780

Therefore, the GCF of 20/545,83/604,671/871 is 1/286715780.

Greatest Common Factor of 20,83,671

To find the highest common factor of 20,83,671, 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 83 are 1, 83

The factors of 671 are 1, 11, 61, 671

The HCF of 20,83,671 is 1.

Lets's calculate GCF of 20,83,671

Greatest Common Factor (GCF) of 20,83,671 By Common Division

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

Greatest Common Factor of 20,83,671 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 83

1,83

Now, list down the factors of 671

1,11,61,671

Greatest Common Factor

We found the factors 20,83,671 . The biggest common factor number is the GCF number.
So the greatest common factor 20,83,671 is 1.

Lets's calculate LCM of 545,604,871

Lowest Common Multiple of 545,604,871 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 286715780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/286715780

Therefore, the GCF of Fractions 20/545,83/604,671/871 is 1/286715780

Least Common Multiple of 545,604,871 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 545,604,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(545,604,871) = 1

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

GCF(545,604,871) x common factors =1 x 1 = 1

LCM(545,604,871) = ( 545 × 604 × 871 ) / 1

LCM(545,604,871) = 286715780 / 1

LCM(545,604,871) = 286715780

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FAQs on GCF of Fractions of 20/545, 83/604, 671/871

1. What is the HCF of 20,83,671?

The HCF of 20,83,671 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 20/545, 83/604, 671/871?

Answer: GCF of Numerators as per given numbers 20/545, 83/604, 671/871 is

GCF of Numerators i.e. for 20,83,671 is 1

LCM of denominators i.e. for 545,604,871 is 286715780.

Thus, GCF of Fractions is 1/286715780.Finally, GCF of Fractions for 20/545, 83/604, 671/871 is 1/286715780.