Greatest Common Factor of 943/17, 490/28, 447/764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 943/17, 490/28, 447/764

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 943/17,490/28,447/764

Given fractions are 943/17,490/28,447/764

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 943,490,447

Greatest Common Factor of Numerators i.e. GCF of 943,490,447 is 1 .

LCM of Denominators means LCM of 17,28,764 as per the given fractions.

LCM of 17,28,764 is 90916 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 943,490,447

GCF of Fractions 943/17,490/28,447/764 is 1/90916

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

Greatest Common Factor of 943,490,447 By Matching Biggest Common Factor Method

Greatest Common Factor of 943,490,447 By Matching Biggest Common Factor Method

Factors of 943

List of positive integer factors of 943 that divides 943 without a remainder.

1,23,41,943

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Greatest Common Factor

We found the factors 943,490,447 . The biggest common factor number is the GCF number.
So the greatest common factor 943,490,447 is 1.

Lets's calculate LCM of 17,28,764

2 17, 28, 764
2 17, 14, 382
17, 7, 191

∴ So the LCM of the given numbers is 2 x 2 x 17 x 7 x 191 = 90916

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/90916

Therefore, the GCF of Fractions 943/17,490/28,447/764 is 1/90916

Least Common Multiple of 17,28,764 with GCF Formula

Least Common Multiple of 17,28,764 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 17,28,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,28,764) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(17,28,764) x common factors =1 x 4 = 4

LCM(17,28,764) = ( 17 × 28 × 764 ) / 4

LCM(17,28,764) = 363664 / 4

LCM(17,28,764) = 90916


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 943/17, 490/28, 447/764

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 943/17, 490/28, 447/764?

Answer: GCF of Numerators as per given numbers 943/17, 490/28, 447/764 is

GCF of Numerators i.e. for 943,490,447 is 1

LCM of denominators i.e. for 17,28,764 is 90916.

Thus, GCF of Fractions is 1/90916.Finally, GCF of Fractions for 943/17, 490/28, 447/764 is 1/90916.