Greatest Common Factor of 201/912, 3802/756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 201/912, 3802/756

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 201/912,3802/756

Given fractions are 201/912,3802/756

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 201,3802

Greatest Common Factor of Numerators i.e. GCF of 201,3802 is 1 .

LCM of Denominators means LCM of 912,756 as per the given fractions.

LCM of 912,756 is 57456 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 201,3802

GCF of Fractions 201/912,3802/756 is 1/57456

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

Greatest Common Factor of 201,3802 By Matching Biggest Common Factor Method

Greatest Common Factor of 201,3802 By Matching Biggest Common Factor Method

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Factors of 3802

List of positive integer factors of 3802 that divides 3802 without a remainder.

1,2,1901,3802

Greatest Common Factor

We found the factors 201,3802 . The biggest common factor number is the GCF number.
So the greatest common factor 201,3802 is 1.

Lets's calculate LCM of 912,756

2 912, 756
2 456, 378
3 228, 189
76, 63

∴ So the LCM of the given numbers is 2 x 2 x 3 x 76 x 63 = 57456

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57456

Therefore, the GCF of Fractions 201/912,3802/756 is 1/57456

Least Common Multiple of 912,756 with GCF Formula

Least Common Multiple of 912,756 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 912,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(912,756) = 12

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

GCF(912,756) x common factors =12 x 1 = 12

LCM(912,756) = ( 912 × 756 ) / 12

LCM(912,756) = 689472 / 12

LCM(912,756) = 57456


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 201/912, 3802/756

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 201/912, 3802/756?

Answer: GCF of Numerators as per given numbers 201/912, 3802/756 is

GCF of Numerators i.e. for 201,3802 is 1

LCM of denominators i.e. for 912,756 is 57456.

Thus, GCF of Fractions is 1/57456.Finally, GCF of Fractions for 201/912, 3802/756 is 1/57456.