Greatest Common Factor of 449/755, 5723/950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 449/755, 5723/950

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 449/755,5723/950

Given fractions are 449/755,5723/950

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 449,5723

Greatest Common Factor of Numerators i.e. GCF of 449,5723 is 1 .

LCM of Denominators means LCM of 755,950 as per the given fractions.

LCM of 755,950 is 143450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 449,5723

GCF of Fractions 449/755,5723/950 is 1/143450

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

Greatest Common Factor of 449,5723 By Matching Biggest Common Factor Method

Greatest Common Factor of 449,5723 By Matching Biggest Common Factor Method

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Factors of 5723

List of positive integer factors of 5723 that divides 5723 without a remainder.

1,59,97,5723

Greatest Common Factor

We found the factors 449,5723 . The biggest common factor number is the GCF number.
So the greatest common factor 449,5723 is 1.

Lets's calculate LCM of 755,950

5 755, 950
151, 190

∴ So the LCM of the given numbers is 5 x 151 x 190 = 143450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/143450

Therefore, the GCF of Fractions 449/755,5723/950 is 1/143450

Least Common Multiple of 755,950 with GCF Formula

Least Common Multiple of 755,950 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 755,950 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(755,950) = 5

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

GCF(755,950) x common factors =5 x 1 = 5

LCM(755,950) = ( 755 × 950 ) / 5

LCM(755,950) = 717250 / 5

LCM(755,950) = 143450


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 449/755, 5723/950

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 449/755, 5723/950?

Answer: GCF of Numerators as per given numbers 449/755, 5723/950 is

GCF of Numerators i.e. for 449,5723 is 1

LCM of denominators i.e. for 755,950 is 143450.

Thus, GCF of Fractions is 1/143450.Finally, GCF of Fractions for 449/755, 5723/950 is 1/143450.