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 603, 537, 67, 114 i.e. 1 largest integer that divides all the numbers equally.
GCD of 603, 537, 67, 114 is 1
GCD(603, 537, 67, 114) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 603, 537, 67, 114 is 1
GCD(603, 537, 67, 114) = 1
Given Input numbers are 603, 537, 67, 114
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 603
List of positive integer divisors of 603 that divides 603 without a remainder.
1, 3, 9, 67, 201, 603
Divisors of 537
List of positive integer divisors of 537 that divides 537 without a remainder.
1, 3, 179, 537
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 114
List of positive integer divisors of 114 that divides 114 without a remainder.
1, 2, 3, 6, 19, 38, 57, 114
Greatest Common Divisior
We found the divisors of 603, 537, 67, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 603, 537, 67, 114 is 1.
Therefore, GCD of numbers 603, 537, 67, 114 is 1
Given Input Data is 603, 537, 67, 114
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 603 is 3 x 3 x 67
Prime Factorization of 537 is 3 x 179
Prime Factorization of 67 is 67
Prime Factorization of 114 is 2 x 3 x 19
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(603, 537) = 107937
GCD(603, 537) = ( 603 x 537 ) / 107937
GCD(603, 537) = 323811 / 107937
GCD(603, 537) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 67) = 201
GCD(3, 67) = ( 3 x 67 ) / 201
GCD(3, 67) = 201 / 201
GCD(3, 67) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 114
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 114) = 114
GCD(1, 114) = ( 1 x 114 ) / 114
GCD(1, 114) = 114 / 114
GCD(1, 114) = 1
GCD of 603, 537, 67, 114 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 603, 537, 67, 114?
GCD of 603, 537, 67, 114 is 1
2. Where do I get the detailed procedure to find GCD of 603, 537, 67, 114?
You can find a detailed procedure to find GCD of 603, 537, 67, 114 on our page.
3. How to find GCD of 603, 537, 67, 114 on a calculator?
You can find the GCD of 603, 537, 67, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.