Greatest Common Factor of 363/45, 407/1238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 363/45, 407/1238

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 363/45,407/1238

Given fractions are 363/45,407/1238

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 363,407

Greatest Common Factor of Numerators i.e. GCF of 363,407 is 11 .

LCM of Denominators means LCM of 45,1238 as per the given fractions.

LCM of 45,1238 is 55710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 363,407

GCF of Fractions 363/45,407/1238 is 11/55710

11 363, 407
33, 37

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 363,407 By Matching Biggest Common Factor Method

Greatest Common Factor of 363,407 By Matching Biggest Common Factor Method

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Greatest Common Factor

We found the factors 363,407 . The biggest common factor number is the GCF number.
So the greatest common factor 363,407 is 11.

Lets's calculate LCM of 45,1238

Given numbers has no common factors except 1. So, there LCM is their product i.e 55710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/55710

Therefore, the GCF of Fractions 363/45,407/1238 is 11/55710

Least Common Multiple of 45,1238 with GCF Formula

Least Common Multiple of 45,1238 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 45,1238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,1238) = 1

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

GCF(45,1238) x common factors =1 x 1 = 1

LCM(45,1238) = ( 45 × 1238 ) / 1

LCM(45,1238) = 55710 / 1

LCM(45,1238) = 55710


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 363/45, 407/1238

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 363/45, 407/1238?

Answer: GCF of Numerators as per given numbers 363/45, 407/1238 is

GCF of Numerators i.e. for 363,407 is 11

LCM of denominators i.e. for 45,1238 is 55710.

Thus, GCF of Fractions is 11/55710.Finally, GCF of Fractions for 363/45, 407/1238 is 11/55710.