Greatest Common Factor of 4211/461, 3800/872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4211/461, 3800/872

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 4211/461,3800/872

Given fractions are 4211/461,3800/872

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 4211,3800

Greatest Common Factor of Numerators i.e. GCF of 4211,3800 is 1 .

LCM of Denominators means LCM of 461,872 as per the given fractions.

LCM of 461,872 is 401992 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4211,3800

GCF of Fractions 4211/461,3800/872 is 1/401992

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4211,3800 By Matching Biggest Common Factor Method

Greatest Common Factor of 4211,3800 By Matching Biggest Common Factor Method

Factors of 4211

List of positive integer factors of 4211 that divides 4211 without a remainder.

1,4211

Factors of 3800

List of positive integer factors of 3800 that divides 3800 without a remainder.

1,2,4,5,8,10,19,20,25,38,40,50,76,95,100,152,190,200,380,475,760,950,1900,3800

Greatest Common Factor

We found the factors 4211,3800 . The biggest common factor number is the GCF number.
So the greatest common factor 4211,3800 is 1.

Lets's calculate LCM of 461,872

Given numbers has no common factors except 1. So, there LCM is their product i.e 401992

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/401992

Therefore, the GCF of Fractions 4211/461,3800/872 is 1/401992

Least Common Multiple of 461,872 with GCF Formula

Least Common Multiple of 461,872 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 461,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(461,872) = 1

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

GCF(461,872) x common factors =1 x 1 = 1

LCM(461,872) = ( 461 × 872 ) / 1

LCM(461,872) = 401992 / 1

LCM(461,872) = 401992


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 4211/461, 3800/872

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 4211/461, 3800/872?

Answer: GCF of Numerators as per given numbers 4211/461, 3800/872 is

GCF of Numerators i.e. for 4211,3800 is 1

LCM of denominators i.e. for 461,872 is 401992.

Thus, GCF of Fractions is 1/401992.Finally, GCF of Fractions for 4211/461, 3800/872 is 1/401992.