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 692, 187, 59, 520 i.e. 1 largest integer that divides all the numbers equally.
GCD of 692, 187, 59, 520 is 1
GCD(692, 187, 59, 520) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 692, 187, 59, 520 is 1
GCD(692, 187, 59, 520) = 1
Given Input numbers are 692, 187, 59, 520
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
Divisors of 187
List of positive integer divisors of 187 that divides 187 without a remainder.
1, 11, 17, 187
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 520
List of positive integer divisors of 520 that divides 520 without a remainder.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Greatest Common Divisior
We found the divisors of 692, 187, 59, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 692, 187, 59, 520 is 1.
Therefore, GCD of numbers 692, 187, 59, 520 is 1
Given Input Data is 692, 187, 59, 520
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 692 is 2 x 2 x 173
Prime Factorization of 187 is 11 x 17
Prime Factorization of 59 is 59
Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13
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(692, 187) = 129404
GCD(692, 187) = ( 692 x 187 ) / 129404
GCD(692, 187) = 129404 / 129404
GCD(692, 187) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 59
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 59) = 59
GCD(1, 59) = ( 1 x 59 ) / 59
GCD(1, 59) = 59 / 59
GCD(1, 59) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 520
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 520) = 520
GCD(1, 520) = ( 1 x 520 ) / 520
GCD(1, 520) = 520 / 520
GCD(1, 520) = 1
GCD of 692, 187, 59, 520 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 692, 187, 59, 520?
GCD of 692, 187, 59, 520 is 1
2. Where do I get the detailed procedure to find GCD of 692, 187, 59, 520?
You can find a detailed procedure to find GCD of 692, 187, 59, 520 on our page.
3. How to find GCD of 692, 187, 59, 520 on a calculator?
You can find the GCD of 692, 187, 59, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.