Greatest Common Factor of 1443/461, 5950/755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1443/461, 5950/755

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 1443/461,5950/755

Given fractions are 1443/461,5950/755

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 1443,5950

Greatest Common Factor of Numerators i.e. GCF of 1443,5950 is 1 .

LCM of Denominators means LCM of 461,755 as per the given fractions.

LCM of 461,755 is 348055 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1443,5950

GCF of Fractions 1443/461,5950/755 is 1/348055

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

Greatest Common Factor of 1443,5950 By Matching Biggest Common Factor Method

Greatest Common Factor of 1443,5950 By Matching Biggest Common Factor Method

Factors of 1443

List of positive integer factors of 1443 that divides 1443 without a remainder.

1,3,13,37,39,111,481,1443

Factors of 5950

List of positive integer factors of 5950 that divides 5950 without a remainder.

1,2,5,7,10,14,17,25,34,35,50,70,85,119,170,175,238,350,425,595,850,1190,2975,5950

Greatest Common Factor

We found the factors 1443,5950 . The biggest common factor number is the GCF number.
So the greatest common factor 1443,5950 is 1.

Lets's calculate LCM of 461,755

Given numbers has no common factors except 1. So, there LCM is their product i.e 348055

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/348055

Therefore, the GCF of Fractions 1443/461,5950/755 is 1/348055

Least Common Multiple of 461,755 with GCF Formula

Least Common Multiple of 461,755 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 461,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(461,755) = 1

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

GCF(461,755) x common factors =1 x 1 = 1

LCM(461,755) = ( 461 × 755 ) / 1

LCM(461,755) = 348055 / 1

LCM(461,755) = 348055


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 1443/461, 5950/755

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 1443/461, 5950/755?

Answer: GCF of Numerators as per given numbers 1443/461, 5950/755 is

GCF of Numerators i.e. for 1443,5950 is 1

LCM of denominators i.e. for 461,755 is 348055.

Thus, GCF of Fractions is 1/348055.Finally, GCF of Fractions for 1443/461, 5950/755 is 1/348055.