Greatest Common Factor of 16/580, 56/831, 740/792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 16/580, 56/831, 740/792

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 16/580,56/831,740/792

Given fractions are 16/580,56/831,740/792

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 16,56,740

Greatest Common Factor of Numerators i.e. GCF of 16,56,740 is 4 .

LCM of Denominators means LCM of 580,831,792 as per the given fractions.

LCM of 580,831,792 is 31810680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 16,56,740

GCF of Fractions 16/580,56/831,740/792 is 4/31810680

2 16, 56, 740
2 8, 28, 370
4, 14, 185

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

Greatest Common Factor of 16,56,740 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,56,740 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 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Greatest Common Factor

We found the factors 16,56,740 . The biggest common factor number is the GCF number.
So the greatest common factor 16,56,740 is 4.

Lets's calculate LCM of 580,831,792

2 580, 831, 792
2 290, 831, 396
3 145, 831, 198
145, 277, 66

∴ So the LCM of the given numbers is 2 x 2 x 3 x 145 x 277 x 66 = 31810680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/31810680

Therefore, the GCF of Fractions 16/580,56/831,740/792 is 4/31810680

Least Common Multiple of 580,831,792 with GCF Formula

Least Common Multiple of 580,831,792 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 580,831,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(580,831,792) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(580,831,792) x common factors =1 x 12 = 12

LCM(580,831,792) = ( 580 × 831 × 792 ) / 12

LCM(580,831,792) = 381728160 / 12

LCM(580,831,792) = 31810680


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 16/580, 56/831, 740/792

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 16/580, 56/831, 740/792?

Answer: GCF of Numerators as per given numbers 16/580, 56/831, 740/792 is

GCF of Numerators i.e. for 16,56,740 is 4

LCM of denominators i.e. for 580,831,792 is 31810680.

Thus, GCF of Fractions is 4/31810680.Finally, GCF of Fractions for 16/580, 56/831, 740/792 is 4/31810680.