Greatest Common Factor of 10/473, 4284/1767

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 10/473, 4284/1767

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 10/473,4284/1767

Given fractions are 10/473,4284/1767

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 10,4284

Greatest Common Factor of Numerators i.e. GCF of 10,4284 is 2 .

LCM of Denominators means LCM of 473,1767 as per the given fractions.

LCM of 473,1767 is 835791 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 10,4284

GCF of Fractions 10/473,4284/1767 is 2/835791

2 10, 4284
5, 2142

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 10,4284 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,4284 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 4284

List of positive integer factors of 4284 that divides 4284 without a remainder.

1,2,3,4,6,7,9,12,14,17,18,21,28,34,36,42,51,63,68,84,102,119,126,153,204,238,252,306,357,476,612,714,1071,1428,2142,4284

Greatest Common Factor

We found the factors 10,4284 . The biggest common factor number is the GCF number.
So the greatest common factor 10,4284 is 2.

Lets's calculate LCM of 473,1767

Given numbers has no common factors except 1. So, there LCM is their product i.e 835791

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/835791

Therefore, the GCF of Fractions 10/473,4284/1767 is 2/835791

Least Common Multiple of 473,1767 with GCF Formula

Least Common Multiple of 473,1767 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 473,1767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(473,1767) = 1

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

GCF(473,1767) x common factors =1 x 1 = 1

LCM(473,1767) = ( 473 × 1767 ) / 1

LCM(473,1767) = 835791 / 1

LCM(473,1767) = 835791


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 10/473, 4284/1767

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 10/473, 4284/1767?

Answer: GCF of Numerators as per given numbers 10/473, 4284/1767 is

GCF of Numerators i.e. for 10,4284 is 2

LCM of denominators i.e. for 473,1767 is 835791.

Thus, GCF of Fractions is 2/835791.Finally, GCF of Fractions for 10/473, 4284/1767 is 2/835791.