Greatest Common Factor of 2250/52, 4066/401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2250/52, 4066/401

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 2250/52,4066/401

Given fractions are 2250/52,4066/401

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 2250,4066

Greatest Common Factor of Numerators i.e. GCF of 2250,4066 is 2 .

LCM of Denominators means LCM of 52,401 as per the given fractions.

LCM of 52,401 is 20852 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2250,4066

GCF of Fractions 2250/52,4066/401 is 2/20852

2 2250, 4066
1125, 2033

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

Greatest Common Factor of 2250,4066 By Matching Biggest Common Factor Method

Greatest Common Factor of 2250,4066 By Matching Biggest Common Factor Method

Factors of 2250

List of positive integer factors of 2250 that divides 2250 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,125,150,225,250,375,450,750,1125,2250

Factors of 4066

List of positive integer factors of 4066 that divides 4066 without a remainder.

1,2,19,38,107,214,2033,4066

Greatest Common Factor

We found the factors 2250,4066 . The biggest common factor number is the GCF number.
So the greatest common factor 2250,4066 is 2.

Lets's calculate LCM of 52,401

Given numbers has no common factors except 1. So, there LCM is their product i.e 20852

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/20852

Therefore, the GCF of Fractions 2250/52,4066/401 is 2/20852

Least Common Multiple of 52,401 with GCF Formula

Least Common Multiple of 52,401 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 52,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,401) = 1

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

GCF(52,401) x common factors =1 x 1 = 1

LCM(52,401) = ( 52 × 401 ) / 1

LCM(52,401) = 20852 / 1

LCM(52,401) = 20852


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 2250/52, 4066/401

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 2250/52, 4066/401?

Answer: GCF of Numerators as per given numbers 2250/52, 4066/401 is

GCF of Numerators i.e. for 2250,4066 is 2

LCM of denominators i.e. for 52,401 is 20852.

Thus, GCF of Fractions is 2/20852.Finally, GCF of Fractions for 2250/52, 4066/401 is 2/20852.