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 683, 870, 37, 588 i.e. 1 largest integer that divides all the numbers equally.
GCD of 683, 870, 37, 588 is 1
GCD(683, 870, 37, 588) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 683, 870, 37, 588 is 1
GCD(683, 870, 37, 588) = 1
Given Input numbers are 683, 870, 37, 588
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 683
List of positive integer divisors of 683 that divides 683 without a remainder.
1, 683
Divisors of 870
List of positive integer divisors of 870 that divides 870 without a remainder.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Divisors of 37
List of positive integer divisors of 37 that divides 37 without a remainder.
1, 37
Divisors of 588
List of positive integer divisors of 588 that divides 588 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Greatest Common Divisior
We found the divisors of 683, 870, 37, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 683, 870, 37, 588 is 1.
Therefore, GCD of numbers 683, 870, 37, 588 is 1
Given Input Data is 683, 870, 37, 588
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 683 is 683
Prime Factorization of 870 is 2 x 3 x 5 x 29
Prime Factorization of 37 is 37
Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7
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(683, 870) = 594210
GCD(683, 870) = ( 683 x 870 ) / 594210
GCD(683, 870) = 594210 / 594210
GCD(683, 870) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 37
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 37) = 37
GCD(1, 37) = ( 1 x 37 ) / 37
GCD(1, 37) = 37 / 37
GCD(1, 37) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 588
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 588) = 588
GCD(1, 588) = ( 1 x 588 ) / 588
GCD(1, 588) = 588 / 588
GCD(1, 588) = 1
GCD of 683, 870, 37, 588 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 683, 870, 37, 588?
GCD of 683, 870, 37, 588 is 1
2. Where do I get the detailed procedure to find GCD of 683, 870, 37, 588?
You can find a detailed procedure to find GCD of 683, 870, 37, 588 on our page.
3. How to find GCD of 683, 870, 37, 588 on a calculator?
You can find the GCD of 683, 870, 37, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.