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 137, 734, 90, 603 i.e. 1 largest integer that divides all the numbers equally.
GCD of 137, 734, 90, 603 is 1
GCD(137, 734, 90, 603) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 137, 734, 90, 603 is 1
GCD(137, 734, 90, 603) = 1
Given Input numbers are 137, 734, 90, 603
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Divisors of 734
List of positive integer divisors of 734 that divides 734 without a remainder.
1, 2, 367, 734
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 603
List of positive integer divisors of 603 that divides 603 without a remainder.
1, 3, 9, 67, 201, 603
Greatest Common Divisior
We found the divisors of 137, 734, 90, 603 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 137, 734, 90, 603 is 1.
Therefore, GCD of numbers 137, 734, 90, 603 is 1
Given Input Data is 137, 734, 90, 603
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 137 is 137
Prime Factorization of 734 is 2 x 367
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 603 is 3 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(137, 734) = 100558
GCD(137, 734) = ( 137 x 734 ) / 100558
GCD(137, 734) = 100558 / 100558
GCD(137, 734) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 90
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 90) = 90
GCD(1, 90) = ( 1 x 90 ) / 90
GCD(1, 90) = 90 / 90
GCD(1, 90) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 603
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 603) = 603
GCD(1, 603) = ( 1 x 603 ) / 603
GCD(1, 603) = 603 / 603
GCD(1, 603) = 1
GCD of 137, 734, 90, 603 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 137, 734, 90, 603?
GCD of 137, 734, 90, 603 is 1
2. Where do I get the detailed procedure to find GCD of 137, 734, 90, 603?
You can find a detailed procedure to find GCD of 137, 734, 90, 603 on our page.
3. How to find GCD of 137, 734, 90, 603 on a calculator?
You can find the GCD of 137, 734, 90, 603 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.