Greatest Common Factor of 16/87, 56/64, 820/375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 16/87, 56/64, 820/375

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 16/87,56/64,820/375

Given fractions are 16/87,56/64,820/375

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 16,56,820

Greatest Common Factor of Numerators i.e. GCF of 16,56,820 is 4 .

LCM of Denominators means LCM of 87,64,375 as per the given fractions.

LCM of 87,64,375 is 696000 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 16,56,820

GCF of Fractions 16/87,56/64,820/375 is 4/696000

2 16, 56, 820
2 8, 28, 410
4, 14, 205

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

Greatest Common Factor of 16,56,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,56,820 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 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 16,56,820 . The biggest common factor number is the GCF number.
So the greatest common factor 16,56,820 is 4.

Lets's calculate LCM of 87,64,375

3 87, 64, 375
29, 64, 125

∴ So the LCM of the given numbers is 3 x 29 x 64 x 125 = 696000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/696000

Therefore, the GCF of Fractions 16/87,56/64,820/375 is 4/696000

Least Common Multiple of 87,64,375 with GCF Formula

Least Common Multiple of 87,64,375 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 87,64,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,64,375) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(87,64,375) x common factors =1 x 3 = 3

LCM(87,64,375) = ( 87 × 64 × 375 ) / 3

LCM(87,64,375) = 2088000 / 3

LCM(87,64,375) = 696000


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 16/87, 56/64, 820/375

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 16/87, 56/64, 820/375?

Answer: GCF of Numerators as per given numbers 16/87, 56/64, 820/375 is

GCF of Numerators i.e. for 16,56,820 is 4

LCM of denominators i.e. for 87,64,375 is 696000.

Thus, GCF of Fractions is 4/696000.Finally, GCF of Fractions for 16/87, 56/64, 820/375 is 4/696000.