Greatest Common Factor of 210/223, 1455/383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 210/223, 1455/383

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 210/223,1455/383

Given fractions are 210/223,1455/383

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 210,1455

Greatest Common Factor of Numerators i.e. GCF of 210,1455 is 15 .

LCM of Denominators means LCM of 223,383 as per the given fractions.

LCM of 223,383 is 85409 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 210,1455

GCF of Fractions 210/223,1455/383 is 15/85409

3 210, 1455
5 70, 485
14, 97

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 210,1455 By Matching Biggest Common Factor Method

Greatest Common Factor of 210,1455 By Matching Biggest Common Factor Method

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 1455

List of positive integer factors of 1455 that divides 1455 without a remainder.

1,3,5,15,97,291,485,1455

Greatest Common Factor

We found the factors 210,1455 . The biggest common factor number is the GCF number.
So the greatest common factor 210,1455 is 15.

Lets's calculate LCM of 223,383

Given numbers has no common factors except 1. So, there LCM is their product i.e 85409

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/85409

Therefore, the GCF of Fractions 210/223,1455/383 is 15/85409

Least Common Multiple of 223,383 with GCF Formula

Least Common Multiple of 223,383 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 223,383 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(223,383) = 1

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

GCF(223,383) x common factors =1 x 1 = 1

LCM(223,383) = ( 223 × 383 ) / 1

LCM(223,383) = 85409 / 1

LCM(223,383) = 85409


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 210/223, 1455/383

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 210/223, 1455/383?

Answer: GCF of Numerators as per given numbers 210/223, 1455/383 is

GCF of Numerators i.e. for 210,1455 is 15

LCM of denominators i.e. for 223,383 is 85409.

Thus, GCF of Fractions is 15/85409.Finally, GCF of Fractions for 210/223, 1455/383 is 15/85409.