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 623, 692, 274, 820 i.e. 1 largest integer that divides all the numbers equally.
GCD of 623, 692, 274, 820 is 1
GCD(623, 692, 274, 820) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 623, 692, 274, 820 is 1
GCD(623, 692, 274, 820) = 1
Given Input numbers are 623, 692, 274, 820
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 623
List of positive integer divisors of 623 that divides 623 without a remainder.
1, 7, 89, 623
Divisors of 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
Divisors of 274
List of positive integer divisors of 274 that divides 274 without a remainder.
1, 2, 137, 274
Divisors of 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Greatest Common Divisior
We found the divisors of 623, 692, 274, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 623, 692, 274, 820 is 1.
Therefore, GCD of numbers 623, 692, 274, 820 is 1
Given Input Data is 623, 692, 274, 820
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 623 is 7 x 89
Prime Factorization of 692 is 2 x 2 x 173
Prime Factorization of 274 is 2 x 137
Prime Factorization of 820 is 2 x 2 x 5 x 41
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(623, 692) = 431116
GCD(623, 692) = ( 623 x 692 ) / 431116
GCD(623, 692) = 431116 / 431116
GCD(623, 692) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 274
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 274) = 274
GCD(1, 274) = ( 1 x 274 ) / 274
GCD(1, 274) = 274 / 274
GCD(1, 274) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 820
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 820) = 820
GCD(1, 820) = ( 1 x 820 ) / 820
GCD(1, 820) = 820 / 820
GCD(1, 820) = 1
GCD of 623, 692, 274, 820 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 623, 692, 274, 820?
GCD of 623, 692, 274, 820 is 1
2. Where do I get the detailed procedure to find GCD of 623, 692, 274, 820?
You can find a detailed procedure to find GCD of 623, 692, 274, 820 on our page.
3. How to find GCD of 623, 692, 274, 820 on a calculator?
You can find the GCD of 623, 692, 274, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.