How to Find GCF of 13/971, 13/431, 812/309?

GCF of 13/971, 13/431, 812/309

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 13/971, 13/431, 812/309 i.e 1/129316809 easily. The following is the detailed procedure to determine the greatest common factor of fractions 13/971, 13/431, 812/309.

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 13/971,13/431,812/309?

Given fractions are 13/971,13/431,812/309

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 13/971,13/431,812/309, numerators are 13,13,812

Denominators are 971,431,309

The GCF of 13,13,812 is 1 .

LCM of 971,431,309 is 129316809.

The greatest common factor of 13/971,13/431,812/309 = [GCF of 13,13,812]/[LCM of 971,431,309]= 1/129316809

Therefore, the GCF of 13/971,13/431,812/309 is 1/129316809.

Greatest Common Factor of 13,13,812

To find the highest common factor of 13,13,812, 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 812 are 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

The HCF of 13,13,812 is 1.

Lets's calculate GCF of 13,13,812

Greatest Common Factor (GCF) of 13,13,812 By Common Division

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

Greatest Common Factor of 13,13,812 By Matching Biggest Common Factor Method

Now, list down the factors of 13

1,13

Now, list down the factors of 13

1,13

Now, list down the factors of 812

1,2,4,7,14,28,29,58,116,203,406,812

Greatest Common Factor

We found the factors 13,13,812 . The biggest common factor number is the GCF number.
So the greatest common factor 13,13,812 is 1.

Lets's calculate LCM of 971,431,309

Lowest Common Multiple of 971,431,309 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 129316809

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/129316809

Therefore, the GCF of Fractions 13/971,13/431,812/309 is 1/129316809

Least Common Multiple of 971,431,309 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 971,431,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(971,431,309) = 1

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

GCF(971,431,309) x common factors =1 x 1 = 1

LCM(971,431,309) = ( 971 × 431 × 309 ) / 1

LCM(971,431,309) = 129316809 / 1

LCM(971,431,309) = 129316809

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 13/971, 13/431, 812/309

1. What is the HCF of 13,13,812?

The HCF of 13,13,812 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 13/971, 13/431, 812/309?

Answer: GCF of Numerators as per given numbers 13/971, 13/431, 812/309 is

GCF of Numerators i.e. for 13,13,812 is 1

LCM of denominators i.e. for 971,431,309 is 129316809.

Thus, GCF of Fractions is 1/129316809.Finally, GCF of Fractions for 13/971, 13/431, 812/309 is 1/129316809.