Greatest Common Factor of 16/520, 720/315, 974/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 16/520, 720/315, 974/312

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 16/520,720/315,974/312

Given fractions are 16/520,720/315,974/312

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 16,720,974

Greatest Common Factor of Numerators i.e. GCF of 16,720,974 is 2 .

LCM of Denominators means LCM of 520,315,312 as per the given fractions.

LCM of 520,315,312 is 32760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 16,720,974

GCF of Fractions 16/520,720/315,974/312 is 2/32760

2 16, 720, 974
8, 360, 487

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

Greatest Common Factor of 16,720,974 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,720,974 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Greatest Common Factor

We found the factors 16,720,974 . The biggest common factor number is the GCF number.
So the greatest common factor 16,720,974 is 2.

Lets's calculate LCM of 520,315,312

2 520, 315, 312
2 260, 315, 156
2 130, 315, 78
3 65, 315, 39
5 65, 105, 13
13 13, 21, 13
1, 21, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 13 x 1 x 21 x 1 = 32760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/32760

Therefore, the GCF of Fractions 16/520,720/315,974/312 is 2/32760

Least Common Multiple of 520,315,312 with GCF Formula

Least Common Multiple of 520,315,312 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 520,315,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,315,312) = 1

common factors(in case of two or more numbers have common factors) = 1560

GCF(520,315,312) x common factors =1 x 1560 = 1560

LCM(520,315,312) = ( 520 × 315 × 312 ) / 1560

LCM(520,315,312) = 51105600 / 1560

LCM(520,315,312) = 32760


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 16/520, 720/315, 974/312

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 16/520, 720/315, 974/312?

Answer: GCF of Numerators as per given numbers 16/520, 720/315, 974/312 is

GCF of Numerators i.e. for 16,720,974 is 2

LCM of denominators i.e. for 520,315,312 is 32760.

Thus, GCF of Fractions is 2/32760.Finally, GCF of Fractions for 16/520, 720/315, 974/312 is 2/32760.