Greatest Common Factor of 452/13, 816/733

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 452/13, 816/733

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 452/13,816/733

Given fractions are 452/13,816/733

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 452,816

Greatest Common Factor of Numerators i.e. GCF of 452,816 is 4 .

LCM of Denominators means LCM of 13,733 as per the given fractions.

LCM of 13,733 is 9529 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 452,816

GCF of Fractions 452/13,816/733 is 4/9529

2 452, 816
2 226, 408
113, 204

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 452,816 By Matching Biggest Common Factor Method

Greatest Common Factor of 452,816 By Matching Biggest Common Factor Method

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Greatest Common Factor

We found the factors 452,816 . The biggest common factor number is the GCF number.
So the greatest common factor 452,816 is 4.

Lets's calculate LCM of 13,733

Given numbers has no common factors except 1. So, there LCM is their product i.e 9529

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/9529

Therefore, the GCF of Fractions 452/13,816/733 is 4/9529

Least Common Multiple of 13,733 with GCF Formula

Least Common Multiple of 13,733 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 13,733 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,733) = 1

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

GCF(13,733) x common factors =1 x 1 = 1

LCM(13,733) = ( 13 × 733 ) / 1

LCM(13,733) = 9529 / 1

LCM(13,733) = 9529


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 452/13, 816/733

1. 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.

2. What is the GCF of Fractions for 452/13, 816/733?

Answer: GCF of Numerators as per given numbers 452/13, 816/733 is

GCF of Numerators i.e. for 452,816 is 4

LCM of denominators i.e. for 13,733 is 9529.

Thus, GCF of Fractions is 4/9529.Finally, GCF of Fractions for 452/13, 816/733 is 4/9529.