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 136, 490, 201, 623 i.e. 1 largest integer that divides all the numbers equally.
GCD of 136, 490, 201, 623 is 1
GCD(136, 490, 201, 623) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 136, 490, 201, 623 is 1
GCD(136, 490, 201, 623) = 1
Given Input numbers are 136, 490, 201, 623
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 490
List of positive integer divisors of 490 that divides 490 without a remainder.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Divisors of 201
List of positive integer divisors of 201 that divides 201 without a remainder.
1, 3, 67, 201
Divisors of 623
List of positive integer divisors of 623 that divides 623 without a remainder.
1, 7, 89, 623
Greatest Common Divisior
We found the divisors of 136, 490, 201, 623 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 136, 490, 201, 623 is 1.
Therefore, GCD of numbers 136, 490, 201, 623 is 1
Given Input Data is 136, 490, 201, 623
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 136 is 2 x 2 x 2 x 17
Prime Factorization of 490 is 2 x 5 x 7 x 7
Prime Factorization of 201 is 3 x 67
Prime Factorization of 623 is 7 x 89
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(136, 490) = 33320
GCD(136, 490) = ( 136 x 490 ) / 33320
GCD(136, 490) = 66640 / 33320
GCD(136, 490) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 201
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 201) = 402
GCD(2, 201) = ( 2 x 201 ) / 402
GCD(2, 201) = 402 / 402
GCD(2, 201) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 623
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 623) = 623
GCD(1, 623) = ( 1 x 623 ) / 623
GCD(1, 623) = 623 / 623
GCD(1, 623) = 1
GCD of 136, 490, 201, 623 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 136, 490, 201, 623?
GCD of 136, 490, 201, 623 is 1
2. Where do I get the detailed procedure to find GCD of 136, 490, 201, 623?
You can find a detailed procedure to find GCD of 136, 490, 201, 623 on our page.
3. How to find GCD of 136, 490, 201, 623 on a calculator?
You can find the GCD of 136, 490, 201, 623 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.