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 122, 496, 83, 692 i.e. 1 largest integer that divides all the numbers equally.
GCD of 122, 496, 83, 692 is 1
GCD(122, 496, 83, 692) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 122, 496, 83, 692 is 1
GCD(122, 496, 83, 692) = 1
Given Input numbers are 122, 496, 83, 692
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 122
List of positive integer divisors of 122 that divides 122 without a remainder.
1, 2, 61, 122
Divisors of 496
List of positive integer divisors of 496 that divides 496 without a remainder.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Divisors of 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
Greatest Common Divisior
We found the divisors of 122, 496, 83, 692 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 122, 496, 83, 692 is 1.
Therefore, GCD of numbers 122, 496, 83, 692 is 1
Given Input Data is 122, 496, 83, 692
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 122 is 2 x 61
Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31
Prime Factorization of 83 is 83
Prime Factorization of 692 is 2 x 2 x 173
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(122, 496) = 30256
GCD(122, 496) = ( 122 x 496 ) / 30256
GCD(122, 496) = 60512 / 30256
GCD(122, 496) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 83
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 83) = 166
GCD(2, 83) = ( 2 x 83 ) / 166
GCD(2, 83) = 166 / 166
GCD(2, 83) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 692
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 692) = 692
GCD(1, 692) = ( 1 x 692 ) / 692
GCD(1, 692) = 692 / 692
GCD(1, 692) = 1
GCD of 122, 496, 83, 692 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 122, 496, 83, 692?
GCD of 122, 496, 83, 692 is 1
2. Where do I get the detailed procedure to find GCD of 122, 496, 83, 692?
You can find a detailed procedure to find GCD of 122, 496, 83, 692 on our page.
3. How to find GCD of 122, 496, 83, 692 on a calculator?
You can find the GCD of 122, 496, 83, 692 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.