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 508, 206, 745, 402 i.e. 1 largest integer that divides all the numbers equally.
GCD of 508, 206, 745, 402 is 1
GCD(508, 206, 745, 402) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 508, 206, 745, 402 is 1
GCD(508, 206, 745, 402) = 1
Given Input numbers are 508, 206, 745, 402
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 508
List of positive integer divisors of 508 that divides 508 without a remainder.
1, 2, 4, 127, 254, 508
Divisors of 206
List of positive integer divisors of 206 that divides 206 without a remainder.
1, 2, 103, 206
Divisors of 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Greatest Common Divisior
We found the divisors of 508, 206, 745, 402 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 508, 206, 745, 402 is 1.
Therefore, GCD of numbers 508, 206, 745, 402 is 1
Given Input Data is 508, 206, 745, 402
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 508 is 2 x 2 x 127
Prime Factorization of 206 is 2 x 103
Prime Factorization of 745 is 5 x 149
Prime Factorization of 402 is 2 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(508, 206) = 52324
GCD(508, 206) = ( 508 x 206 ) / 52324
GCD(508, 206) = 104648 / 52324
GCD(508, 206) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 745
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 745) = 1490
GCD(2, 745) = ( 2 x 745 ) / 1490
GCD(2, 745) = 1490 / 1490
GCD(2, 745) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 402
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 402) = 402
GCD(1, 402) = ( 1 x 402 ) / 402
GCD(1, 402) = 402 / 402
GCD(1, 402) = 1
GCD of 508, 206, 745, 402 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 508, 206, 745, 402?
GCD of 508, 206, 745, 402 is 1
2. Where do I get the detailed procedure to find GCD of 508, 206, 745, 402?
You can find a detailed procedure to find GCD of 508, 206, 745, 402 on our page.
3. How to find GCD of 508, 206, 745, 402 on a calculator?
You can find the GCD of 508, 206, 745, 402 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.