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 153, 562, 21, 575 i.e. 1 largest integer that divides all the numbers equally.
GCD of 153, 562, 21, 575 is 1
GCD(153, 562, 21, 575) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 153, 562, 21, 575 is 1
GCD(153, 562, 21, 575) = 1
Given Input numbers are 153, 562, 21, 575
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Divisors of 562
List of positive integer divisors of 562 that divides 562 without a remainder.
1, 2, 281, 562
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 575
List of positive integer divisors of 575 that divides 575 without a remainder.
1, 5, 23, 25, 115, 575
Greatest Common Divisior
We found the divisors of 153, 562, 21, 575 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 153, 562, 21, 575 is 1.
Therefore, GCD of numbers 153, 562, 21, 575 is 1
Given Input Data is 153, 562, 21, 575
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 153 is 3 x 3 x 17
Prime Factorization of 562 is 2 x 281
Prime Factorization of 21 is 3 x 7
Prime Factorization of 575 is 5 x 5 x 23
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(153, 562) = 85986
GCD(153, 562) = ( 153 x 562 ) / 85986
GCD(153, 562) = 85986 / 85986
GCD(153, 562) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 21) = 21
GCD(1, 21) = ( 1 x 21 ) / 21
GCD(1, 21) = 21 / 21
GCD(1, 21) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 575
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 575) = 575
GCD(1, 575) = ( 1 x 575 ) / 575
GCD(1, 575) = 575 / 575
GCD(1, 575) = 1
GCD of 153, 562, 21, 575 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 153, 562, 21, 575?
GCD of 153, 562, 21, 575 is 1
2. Where do I get the detailed procedure to find GCD of 153, 562, 21, 575?
You can find a detailed procedure to find GCD of 153, 562, 21, 575 on our page.
3. How to find GCD of 153, 562, 21, 575 on a calculator?
You can find the GCD of 153, 562, 21, 575 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.