Greatest Common Factor of 520/16, 456/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 520/16, 456/734

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 520/16,456/734

Given fractions are 520/16,456/734

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 520,456

Greatest Common Factor of Numerators i.e. GCF of 520,456 is 8 .

LCM of Denominators means LCM of 16,734 as per the given fractions.

LCM of 16,734 is 5872 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 520,456

GCF of Fractions 520/16,456/734 is 8/5872

2 520, 456
2 260, 228
2 130, 114
65, 57

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 520,456 By Matching Biggest Common Factor Method

Greatest Common Factor of 520,456 By Matching Biggest Common Factor Method

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Greatest Common Factor

We found the factors 520,456 . The biggest common factor number is the GCF number.
So the greatest common factor 520,456 is 8.

Lets's calculate LCM of 16,734

2 16, 734
8, 367

∴ So the LCM of the given numbers is 2 x 8 x 367 = 5872

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/5872

Therefore, the GCF of Fractions 520/16,456/734 is 8/5872

Least Common Multiple of 16,734 with GCF Formula

Least Common Multiple of 16,734 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 16,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,734) = 2

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

GCF(16,734) x common factors =2 x 1 = 2

LCM(16,734) = ( 16 × 734 ) / 2

LCM(16,734) = 11744 / 2

LCM(16,734) = 5872


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 520/16, 456/734

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 520/16, 456/734?

Answer: GCF of Numerators as per given numbers 520/16, 456/734 is

GCF of Numerators i.e. for 520,456 is 8

LCM of denominators i.e. for 16,734 is 5872.

Thus, GCF of Fractions is 8/5872.Finally, GCF of Fractions for 520/16, 456/734 is 8/5872.