How to Find GCF of 13/463, 59/252, 450/431?

GCF of 13/463, 59/252, 450/431

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 13/463, 59/252, 450/431 i.e 1/50287356 easily. The following is the detailed procedure to determine the greatest common factor of fractions 13/463, 59/252, 450/431.

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 13/463,59/252,450/431?

Given fractions are 13/463,59/252,450/431

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 13/463,59/252,450/431, numerators are 13,59,450

Denominators are 463,252,431

The GCF of 13,59,450 is 1 .

LCM of 463,252,431 is 50287356.

The greatest common factor of 13/463,59/252,450/431 = [GCF of 13,59,450]/[LCM of 463,252,431]= 1/50287356

Therefore, the GCF of 13/463,59/252,450/431 is 1/50287356.

Greatest Common Factor of 13,59,450

To find the highest common factor of 13,59,450, we have to find the factors of both numbers and list the highest common factor.

The factors of 13 are 1, 13

The factors of 59 are 1, 59

The factors of 450 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

The HCF of 13,59,450 is 1.

Lets's calculate GCF of 13,59,450

Greatest Common Factor (GCF) of 13,59,450 By Common Division

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

Greatest Common Factor of 13,59,450 By Matching Biggest Common Factor Method

Now, list down the factors of 13

1,13

Now, list down the factors of 59

1,59

Now, list down the factors of 450

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Greatest Common Factor

We found the factors 13,59,450 . The biggest common factor number is the GCF number.
So the greatest common factor 13,59,450 is 1.

Lets's calculate LCM of 463,252,431

Lowest Common Multiple of 463,252,431 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 50287356

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50287356

Therefore, the GCF of Fractions 13/463,59/252,450/431 is 1/50287356

Least Common Multiple of 463,252,431 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 463,252,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(463,252,431) = 1

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

GCF(463,252,431) x common factors =1 x 1 = 1

LCM(463,252,431) = ( 463 × 252 × 431 ) / 1

LCM(463,252,431) = 50287356 / 1

LCM(463,252,431) = 50287356

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FAQs on GCF of Fractions of 13/463, 59/252, 450/431

1. What is the HCF of 13,59,450?

The HCF of 13,59,450 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 13/463, 59/252, 450/431?

Answer: GCF of Numerators as per given numbers 13/463, 59/252, 450/431 is

GCF of Numerators i.e. for 13,59,450 is 1

LCM of denominators i.e. for 463,252,431 is 50287356.

Thus, GCF of Fractions is 1/50287356.Finally, GCF of Fractions for 13/463, 59/252, 450/431 is 1/50287356.