Greatest Common Factor of 2850/366, 4120/6835

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2850/366, 4120/6835

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 2850/366,4120/6835

Given fractions are 2850/366,4120/6835

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 2850,4120

Greatest Common Factor of Numerators i.e. GCF of 2850,4120 is 10 .

LCM of Denominators means LCM of 366,6835 as per the given fractions.

LCM of 366,6835 is 2501610 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2850,4120

GCF of Fractions 2850/366,4120/6835 is 10/2501610

2 2850, 4120
5 1425, 2060
285, 412

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 2850,4120 By Matching Biggest Common Factor Method

Greatest Common Factor of 2850,4120 By Matching Biggest Common Factor Method

Factors of 2850

List of positive integer factors of 2850 that divides 2850 without a remainder.

1,2,3,5,6,10,15,19,25,30,38,50,57,75,95,114,150,190,285,475,570,950,1425,2850

Factors of 4120

List of positive integer factors of 4120 that divides 4120 without a remainder.

1,2,4,5,8,10,20,40,103,206,412,515,824,1030,2060,4120

Greatest Common Factor

We found the factors 2850,4120 . The biggest common factor number is the GCF number.
So the greatest common factor 2850,4120 is 10.

Lets's calculate LCM of 366,6835

Given numbers has no common factors except 1. So, there LCM is their product i.e 2501610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/2501610

Therefore, the GCF of Fractions 2850/366,4120/6835 is 10/2501610

Least Common Multiple of 366,6835 with GCF Formula

Least Common Multiple of 366,6835 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 366,6835 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(366,6835) = 1

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

GCF(366,6835) x common factors =1 x 1 = 1

LCM(366,6835) = ( 366 × 6835 ) / 1

LCM(366,6835) = 2501610 / 1

LCM(366,6835) = 2501610


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 2850/366, 4120/6835

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 2850/366, 4120/6835?

Answer: GCF of Numerators as per given numbers 2850/366, 4120/6835 is

GCF of Numerators i.e. for 2850,4120 is 10

LCM of denominators i.e. for 366,6835 is 2501610.

Thus, GCF of Fractions is 10/2501610.Finally, GCF of Fractions for 2850/366, 4120/6835 is 10/2501610.