Greatest Common Factor of 8120/83, 3156/856

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8120/83, 3156/856

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 8120/83,3156/856

Given fractions are 8120/83,3156/856

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 8120,3156

Greatest Common Factor of Numerators i.e. GCF of 8120,3156 is 4 .

LCM of Denominators means LCM of 83,856 as per the given fractions.

LCM of 83,856 is 71048 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8120,3156

GCF of Fractions 8120/83,3156/856 is 4/71048

2 8120, 3156
2 4060, 1578
2030, 789

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

Greatest Common Factor of 8120,3156 By Matching Biggest Common Factor Method

Greatest Common Factor of 8120,3156 By Matching Biggest Common Factor Method

Factors of 8120

List of positive integer factors of 8120 that divides 8120 without a remainder.

1,2,4,5,7,8,10,14,20,28,29,35,40,56,58,70,116,140,145,203,232,280,290,406,580,812,1015,1160,1624,2030,4060,8120

Factors of 3156

List of positive integer factors of 3156 that divides 3156 without a remainder.

1,2,3,4,6,12,263,526,789,1052,1578,3156

Greatest Common Factor

We found the factors 8120,3156 . The biggest common factor number is the GCF number.
So the greatest common factor 8120,3156 is 4.

Lets's calculate LCM of 83,856

Given numbers has no common factors except 1. So, there LCM is their product i.e 71048

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/71048

Therefore, the GCF of Fractions 8120/83,3156/856 is 4/71048

Least Common Multiple of 83,856 with GCF Formula

Least Common Multiple of 83,856 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 83,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,856) = 1

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

GCF(83,856) x common factors =1 x 1 = 1

LCM(83,856) = ( 83 × 856 ) / 1

LCM(83,856) = 71048 / 1

LCM(83,856) = 71048


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 8120/83, 3156/856

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 8120/83, 3156/856?

Answer: GCF of Numerators as per given numbers 8120/83, 3156/856 is

GCF of Numerators i.e. for 8120,3156 is 4

LCM of denominators i.e. for 83,856 is 71048.

Thus, GCF of Fractions is 4/71048.Finally, GCF of Fractions for 8120/83, 3156/856 is 4/71048.