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 156, 507, 93, 262 i.e. 1 largest integer that divides all the numbers equally.
GCD of 156, 507, 93, 262 is 1
GCD(156, 507, 93, 262) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 156, 507, 93, 262 is 1
GCD(156, 507, 93, 262) = 1
Given Input numbers are 156, 507, 93, 262
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 156
List of positive integer divisors of 156 that divides 156 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Divisors of 507
List of positive integer divisors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Divisors of 93
List of positive integer divisors of 93 that divides 93 without a remainder.
1, 3, 31, 93
Divisors of 262
List of positive integer divisors of 262 that divides 262 without a remainder.
1, 2, 131, 262
Greatest Common Divisior
We found the divisors of 156, 507, 93, 262 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 156, 507, 93, 262 is 1.
Therefore, GCD of numbers 156, 507, 93, 262 is 1
Given Input Data is 156, 507, 93, 262
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 156 is 2 x 2 x 3 x 13
Prime Factorization of 507 is 3 x 13 x 13
Prime Factorization of 93 is 3 x 31
Prime Factorization of 262 is 2 x 131
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(156, 507) = 2028
GCD(156, 507) = ( 156 x 507 ) / 2028
GCD(156, 507) = 79092 / 2028
GCD(156, 507) = 39
Step2:
Here we consider the GCD from the above i.e. 39 as first number and the next as 93
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(39, 93) = 1209
GCD(39, 93) = ( 39 x 93 ) / 1209
GCD(39, 93) = 3627 / 1209
GCD(39, 93) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 262
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 262) = 786
GCD(3, 262) = ( 3 x 262 ) / 786
GCD(3, 262) = 786 / 786
GCD(3, 262) = 1
GCD of 156, 507, 93, 262 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 156, 507, 93, 262?
GCD of 156, 507, 93, 262 is 1
2. Where do I get the detailed procedure to find GCD of 156, 507, 93, 262?
You can find a detailed procedure to find GCD of 156, 507, 93, 262 on our page.
3. How to find GCD of 156, 507, 93, 262 on a calculator?
You can find the GCD of 156, 507, 93, 262 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.