How to Find GCF of 43/811, 82/483, 451/125?

GCF of 43/811, 82/483, 451/125

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 43/811, 82/483, 451/125 i.e 1/48964125 easily. The following is the detailed procedure to determine the greatest common factor of fractions 43/811, 82/483, 451/125.

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 43/811,82/483,451/125?

Given fractions are 43/811,82/483,451/125

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 43/811,82/483,451/125, numerators are 43,82,451

Denominators are 811,483,125

The GCF of 43,82,451 is 1 .

LCM of 811,483,125 is 48964125.

The greatest common factor of 43/811,82/483,451/125 = [GCF of 43,82,451]/[LCM of 811,483,125]= 1/48964125

Therefore, the GCF of 43/811,82/483,451/125 is 1/48964125.

Greatest Common Factor of 43,82,451

To find the highest common factor of 43,82,451, we have to find the factors of both numbers and list the highest common factor.

The factors of 43 are 1, 43

The factors of 82 are 1, 2, 41, 82

The factors of 451 are 1, 11, 41, 451

The HCF of 43,82,451 is 1.

Lets's calculate GCF of 43,82,451

Greatest Common Factor (GCF) of 43,82,451 By Common Division

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

Greatest Common Factor of 43,82,451 By Matching Biggest Common Factor Method

Now, list down the factors of 43

1,43

Now, list down the factors of 82

1,2,41,82

Now, list down the factors of 451

1,11,41,451

Greatest Common Factor

We found the factors 43,82,451 . The biggest common factor number is the GCF number.
So the greatest common factor 43,82,451 is 1.

Lets's calculate LCM of 811,483,125

Lowest Common Multiple of 811,483,125 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 48964125

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48964125

Therefore, the GCF of Fractions 43/811,82/483,451/125 is 1/48964125

Least Common Multiple of 811,483,125 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 811,483,125 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(811,483,125) = 1

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

GCF(811,483,125) x common factors =1 x 1 = 1

LCM(811,483,125) = ( 811 × 483 × 125 ) / 1

LCM(811,483,125) = 48964125 / 1

LCM(811,483,125) = 48964125

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FAQs on GCF of Fractions of 43/811, 82/483, 451/125

1. What is the HCF of 43,82,451?

The HCF of 43,82,451 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 43/811, 82/483, 451/125?

Answer: GCF of Numerators as per given numbers 43/811, 82/483, 451/125 is

GCF of Numerators i.e. for 43,82,451 is 1

LCM of denominators i.e. for 811,483,125 is 48964125.

Thus, GCF of Fractions is 1/48964125.Finally, GCF of Fractions for 43/811, 82/483, 451/125 is 1/48964125.