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 462, 696, 157, 395 i.e. 1 largest integer that divides all the numbers equally.
GCD of 462, 696, 157, 395 is 1
GCD(462, 696, 157, 395) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 462, 696, 157, 395 is 1
GCD(462, 696, 157, 395) = 1
Given Input numbers are 462, 696, 157, 395
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 462
List of positive integer divisors of 462 that divides 462 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 696
List of positive integer divisors of 696 that divides 696 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 157
List of positive integer divisors of 157 that divides 157 without a remainder.
1, 157
Divisors of 395
List of positive integer divisors of 395 that divides 395 without a remainder.
1, 5, 79, 395
Greatest Common Divisior
We found the divisors of 462, 696, 157, 395 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 696, 157, 395 is 1.
Therefore, GCD of numbers 462, 696, 157, 395 is 1
Given Input Data is 462, 696, 157, 395
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 462 is 2 x 3 x 7 x 11
Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29
Prime Factorization of 157 is 157
Prime Factorization of 395 is 5 x 79
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(462, 696) = 53592
GCD(462, 696) = ( 462 x 696 ) / 53592
GCD(462, 696) = 321552 / 53592
GCD(462, 696) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 157
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 157) = 942
GCD(6, 157) = ( 6 x 157 ) / 942
GCD(6, 157) = 942 / 942
GCD(6, 157) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 395
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 395) = 395
GCD(1, 395) = ( 1 x 395 ) / 395
GCD(1, 395) = 395 / 395
GCD(1, 395) = 1
GCD of 462, 696, 157, 395 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 462, 696, 157, 395?
GCD of 462, 696, 157, 395 is 1
2. Where do I get the detailed procedure to find GCD of 462, 696, 157, 395?
You can find a detailed procedure to find GCD of 462, 696, 157, 395 on our page.
3. How to find GCD of 462, 696, 157, 395 on a calculator?
You can find the GCD of 462, 696, 157, 395 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.