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 658, 332, 57, 596 i.e. 1 largest integer that divides all the numbers equally.
GCD of 658, 332, 57, 596 is 1
GCD(658, 332, 57, 596) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 658, 332, 57, 596 is 1
GCD(658, 332, 57, 596) = 1
Given Input numbers are 658, 332, 57, 596
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 658
List of positive integer divisors of 658 that divides 658 without a remainder.
1, 2, 7, 14, 47, 94, 329, 658
Divisors of 332
List of positive integer divisors of 332 that divides 332 without a remainder.
1, 2, 4, 83, 166, 332
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 596
List of positive integer divisors of 596 that divides 596 without a remainder.
1, 2, 4, 149, 298, 596
Greatest Common Divisior
We found the divisors of 658, 332, 57, 596 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 658, 332, 57, 596 is 1.
Therefore, GCD of numbers 658, 332, 57, 596 is 1
Given Input Data is 658, 332, 57, 596
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 658 is 2 x 7 x 47
Prime Factorization of 332 is 2 x 2 x 83
Prime Factorization of 57 is 3 x 19
Prime Factorization of 596 is 2 x 2 x 149
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(658, 332) = 109228
GCD(658, 332) = ( 658 x 332 ) / 109228
GCD(658, 332) = 218456 / 109228
GCD(658, 332) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 57
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 57) = 114
GCD(2, 57) = ( 2 x 57 ) / 114
GCD(2, 57) = 114 / 114
GCD(2, 57) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 596
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 596) = 596
GCD(1, 596) = ( 1 x 596 ) / 596
GCD(1, 596) = 596 / 596
GCD(1, 596) = 1
GCD of 658, 332, 57, 596 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 658, 332, 57, 596?
GCD of 658, 332, 57, 596 is 1
2. Where do I get the detailed procedure to find GCD of 658, 332, 57, 596?
You can find a detailed procedure to find GCD of 658, 332, 57, 596 on our page.
3. How to find GCD of 658, 332, 57, 596 on a calculator?
You can find the GCD of 658, 332, 57, 596 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.