Greatest Common Factor of 6291/920, 2850/3214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6291/920, 2850/3214

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 6291/920,2850/3214

Given fractions are 6291/920,2850/3214

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 6291,2850

Greatest Common Factor of Numerators i.e. GCF of 6291,2850 is 3 .

LCM of Denominators means LCM of 920,3214 as per the given fractions.

LCM of 920,3214 is 1478440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6291,2850

GCF of Fractions 6291/920,2850/3214 is 3/1478440

3 6291, 2850
2097, 950

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 6291,2850 By Matching Biggest Common Factor Method

Greatest Common Factor of 6291,2850 By Matching Biggest Common Factor Method

Factors of 6291

List of positive integer factors of 6291 that divides 6291 without a remainder.

1,3,9,27,233,699,2097,6291

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

Greatest Common Factor

We found the factors 6291,2850 . The biggest common factor number is the GCF number.
So the greatest common factor 6291,2850 is 3.

Lets's calculate LCM of 920,3214

2 920, 3214
460, 1607

∴ So the LCM of the given numbers is 2 x 460 x 1607 = 1478440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1478440

Therefore, the GCF of Fractions 6291/920,2850/3214 is 3/1478440

Least Common Multiple of 920,3214 with GCF Formula

Least Common Multiple of 920,3214 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 920,3214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,3214) = 2

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

GCF(920,3214) x common factors =2 x 1 = 2

LCM(920,3214) = ( 920 × 3214 ) / 2

LCM(920,3214) = 2956880 / 2

LCM(920,3214) = 1478440


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 6291/920, 2850/3214

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 6291/920, 2850/3214?

Answer: GCF of Numerators as per given numbers 6291/920, 2850/3214 is

GCF of Numerators i.e. for 6291,2850 is 3

LCM of denominators i.e. for 920,3214 is 1478440.

Thus, GCF of Fractions is 3/1478440.Finally, GCF of Fractions for 6291/920, 2850/3214 is 3/1478440.