Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 743, 564, 20, 402 i.e. 1 largest integer that divides all the numbers equally.
GCD of 743, 564, 20, 402 is 1
GCD(743, 564, 20, 402) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 743, 564, 20, 402 is 1
GCD(743, 564, 20, 402) = 1
Given Input numbers are 743, 564, 20, 402
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 743
List of positive integer divisors of 743 that divides 743 without a remainder.
1, 743
Divisors of 564
List of positive integer divisors of 564 that divides 564 without a remainder.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Greatest Common Divisior
We found the divisors of 743, 564, 20, 402 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 743, 564, 20, 402 is 1.
Therefore, GCD of numbers 743, 564, 20, 402 is 1
Given Input Data is 743, 564, 20, 402
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 743 is 743
Prime Factorization of 564 is 2 x 2 x 3 x 47
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 402 is 2 x 3 x 67
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(743, 564) = 419052
GCD(743, 564) = ( 743 x 564 ) / 419052
GCD(743, 564) = 419052 / 419052
GCD(743, 564) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 20) = 20
GCD(1, 20) = ( 1 x 20 ) / 20
GCD(1, 20) = 20 / 20
GCD(1, 20) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 402
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 402) = 402
GCD(1, 402) = ( 1 x 402 ) / 402
GCD(1, 402) = 402 / 402
GCD(1, 402) = 1
GCD of 743, 564, 20, 402 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 743, 564, 20, 402?
GCD of 743, 564, 20, 402 is 1
2. Where do I get the detailed procedure to find GCD of 743, 564, 20, 402?
You can find a detailed procedure to find GCD of 743, 564, 20, 402 on our page.
3. How to find GCD of 743, 564, 20, 402 on a calculator?
You can find the GCD of 743, 564, 20, 402 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.