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 67, 262, 523, 372 i.e. 1 largest integer that divides all the numbers equally.
GCD of 67, 262, 523, 372 is 1
GCD(67, 262, 523, 372) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 67, 262, 523, 372 is 1
GCD(67, 262, 523, 372) = 1
Given Input numbers are 67, 262, 523, 372
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 262
List of positive integer divisors of 262 that divides 262 without a remainder.
1, 2, 131, 262
Divisors of 523
List of positive integer divisors of 523 that divides 523 without a remainder.
1, 523
Divisors of 372
List of positive integer divisors of 372 that divides 372 without a remainder.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Greatest Common Divisior
We found the divisors of 67, 262, 523, 372 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 67, 262, 523, 372 is 1.
Therefore, GCD of numbers 67, 262, 523, 372 is 1
Given Input Data is 67, 262, 523, 372
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 67 is 67
Prime Factorization of 262 is 2 x 131
Prime Factorization of 523 is 523
Prime Factorization of 372 is 2 x 2 x 3 x 31
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(67, 262) = 17554
GCD(67, 262) = ( 67 x 262 ) / 17554
GCD(67, 262) = 17554 / 17554
GCD(67, 262) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 523
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 523) = 523
GCD(1, 523) = ( 1 x 523 ) / 523
GCD(1, 523) = 523 / 523
GCD(1, 523) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 372
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 372) = 372
GCD(1, 372) = ( 1 x 372 ) / 372
GCD(1, 372) = 372 / 372
GCD(1, 372) = 1
GCD of 67, 262, 523, 372 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 67, 262, 523, 372?
GCD of 67, 262, 523, 372 is 1
2. Where do I get the detailed procedure to find GCD of 67, 262, 523, 372?
You can find a detailed procedure to find GCD of 67, 262, 523, 372 on our page.
3. How to find GCD of 67, 262, 523, 372 on a calculator?
You can find the GCD of 67, 262, 523, 372 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.