How to Find GCF of 13/856, 26/307, 472/796?

GCF of 13/856, 26/307, 472/796

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 13/856, 26/307, 472/796 i.e 1/52295608 easily. The following is the detailed procedure to determine the greatest common factor of fractions 13/856, 26/307, 472/796.

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 13/856,26/307,472/796?

Given fractions are 13/856,26/307,472/796

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 13/856,26/307,472/796, numerators are 13,26,472

Denominators are 856,307,796

The GCF of 13,26,472 is 1 .

LCM of 856,307,796 is 52295608.

The greatest common factor of 13/856,26/307,472/796 = [GCF of 13,26,472]/[LCM of 856,307,796]= 1/52295608

Therefore, the GCF of 13/856,26/307,472/796 is 1/52295608.

Greatest Common Factor of 13,26,472

To find the highest common factor of 13,26,472, 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 26 are 1, 2, 13, 26

The factors of 472 are 1, 2, 4, 8, 59, 118, 236, 472

The HCF of 13,26,472 is 1.

Lets's calculate GCF of 13,26,472

Greatest Common Factor (GCF) of 13,26,472 By Common Division

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

Greatest Common Factor of 13,26,472 By Matching Biggest Common Factor Method

Now, list down the factors of 13

1,13

Now, list down the factors of 26

1,2,13,26

Now, list down the factors of 472

1,2,4,8,59,118,236,472

Greatest Common Factor

We found the factors 13,26,472 . The biggest common factor number is the GCF number.
So the greatest common factor 13,26,472 is 1.

Lets's calculate LCM of 856,307,796

Lowest Common Multiple of 856,307,796 using Common Division

2	856, 307, 796
2	428, 307, 398
	214, 307, 199

∴ So the LCM of the given numbers is 2 x 2 x 214 x 307 x 199 = 52295608

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52295608

Therefore, the GCF of Fractions 13/856,26/307,472/796 is 1/52295608

Least Common Multiple of 856,307,796 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 856,307,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(856,307,796) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(856,307,796) x common factors =1 x 4 = 4

LCM(856,307,796) = ( 856 × 307 × 796 ) / 4

LCM(856,307,796) = 209182432 / 4

LCM(856,307,796) = 52295608

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 13/856, 26/307, 472/796

1. What is the HCF of 13,26,472?

The HCF of 13,26,472 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 13/856, 26/307, 472/796?

Answer: GCF of Numerators as per given numbers 13/856, 26/307, 472/796 is

GCF of Numerators i.e. for 13,26,472 is 1

LCM of denominators i.e. for 856,307,796 is 52295608.

Thus, GCF of Fractions is 1/52295608.Finally, GCF of Fractions for 13/856, 26/307, 472/796 is 1/52295608.