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 588, 565, 70, 346 i.e. 1 largest integer that divides all the numbers equally.
GCD of 588, 565, 70, 346 is 1
GCD(588, 565, 70, 346) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 588, 565, 70, 346 is 1
GCD(588, 565, 70, 346) = 1
Given Input numbers are 588, 565, 70, 346
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 565
List of positive integer divisors of 565 that divides 565 without a remainder.
1, 5, 113, 565
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
Divisors of 346
List of positive integer divisors of 346 that divides 346 without a remainder.
1, 2, 173, 346
Greatest Common Divisior
We found the divisors of 588, 565, 70, 346 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 588, 565, 70, 346 is 1.
Therefore, GCD of numbers 588, 565, 70, 346 is 1
Given Input Data is 588, 565, 70, 346
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7
Prime Factorization of 565 is 5 x 113
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 346 is 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(588, 565) = 332220
GCD(588, 565) = ( 588 x 565 ) / 332220
GCD(588, 565) = 332220 / 332220
GCD(588, 565) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 70
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 70) = 70
GCD(1, 70) = ( 1 x 70 ) / 70
GCD(1, 70) = 70 / 70
GCD(1, 70) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 346
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 346) = 346
GCD(1, 346) = ( 1 x 346 ) / 346
GCD(1, 346) = 346 / 346
GCD(1, 346) = 1
GCD of 588, 565, 70, 346 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 588, 565, 70, 346?
GCD of 588, 565, 70, 346 is 1
2. Where do I get the detailed procedure to find GCD of 588, 565, 70, 346?
You can find a detailed procedure to find GCD of 588, 565, 70, 346 on our page.
3. How to find GCD of 588, 565, 70, 346 on a calculator?
You can find the GCD of 588, 565, 70, 346 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.