How to Find GCF of 13/62, 347/13, 811/208?

GCF of 13/62, 347/13, 811/208

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 13/62, 347/13, 811/208 i.e 1/6448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 13/62, 347/13, 811/208.

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 13/62,347/13,811/208?

Given fractions are 13/62,347/13,811/208

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 13/62,347/13,811/208, numerators are 13,347,811

Denominators are 62,13,208

The GCF of 13,347,811 is 1 .

LCM of 62,13,208 is 6448.

The greatest common factor of 13/62,347/13,811/208 = [GCF of 13,347,811]/[LCM of 62,13,208]= 1/6448

Therefore, the GCF of 13/62,347/13,811/208 is 1/6448.

Greatest Common Factor of 13,347,811

To find the highest common factor of 13,347,811, 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 347 are 1, 347

The factors of 811 are 1, 811

The HCF of 13,347,811 is 1.

Lets's calculate GCF of 13,347,811

Greatest Common Factor (GCF) of 13,347,811 By Common Division

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

Greatest Common Factor of 13,347,811 By Matching Biggest Common Factor Method

Now, list down the factors of 13

1,13

Now, list down the factors of 347

1,347

Now, list down the factors of 811

1,811

Greatest Common Factor

We found the factors 13,347,811 . The biggest common factor number is the GCF number.
So the greatest common factor 13,347,811 is 1.

Lets's calculate LCM of 62,13,208

Lowest Common Multiple of 62,13,208 using Common Division

2	62, 13, 208
13	31, 13, 104
	31, 1, 8

∴ So the LCM of the given numbers is 2 x 13 x 31 x 1 x 8 = 6448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6448

Therefore, the GCF of Fractions 13/62,347/13,811/208 is 1/6448

Least Common Multiple of 62,13,208 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 62,13,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,13,208) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(62,13,208) x common factors =1 x 26 = 26

LCM(62,13,208) = ( 62 × 13 × 208 ) / 26

LCM(62,13,208) = 167648 / 26

LCM(62,13,208) = 6448

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FAQs on GCF of Fractions of 13/62, 347/13, 811/208

1. What is the HCF of 13,347,811?

The HCF of 13,347,811 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 13/62, 347/13, 811/208?

Answer: GCF of Numerators as per given numbers 13/62, 347/13, 811/208 is

GCF of Numerators i.e. for 13,347,811 is 1

LCM of denominators i.e. for 62,13,208 is 6448.

Thus, GCF of Fractions is 1/6448.Finally, GCF of Fractions for 13/62, 347/13, 811/208 is 1/6448.