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 570, 688, 69, 436 i.e. 1 largest integer that divides all the numbers equally.
GCD of 570, 688, 69, 436 is 1
GCD(570, 688, 69, 436) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 570, 688, 69, 436 is 1
GCD(570, 688, 69, 436) = 1
Given Input numbers are 570, 688, 69, 436
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 570
List of positive integer divisors of 570 that divides 570 without a remainder.
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
Divisors of 688
List of positive integer divisors of 688 that divides 688 without a remainder.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 436
List of positive integer divisors of 436 that divides 436 without a remainder.
1, 2, 4, 109, 218, 436
Greatest Common Divisior
We found the divisors of 570, 688, 69, 436 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 570, 688, 69, 436 is 1.
Therefore, GCD of numbers 570, 688, 69, 436 is 1
Given Input Data is 570, 688, 69, 436
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 570 is 2 x 3 x 5 x 19
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
Prime Factorization of 69 is 3 x 23
Prime Factorization of 436 is 2 x 2 x 109
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(570, 688) = 196080
GCD(570, 688) = ( 570 x 688 ) / 196080
GCD(570, 688) = 392160 / 196080
GCD(570, 688) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 69) = 138
GCD(2, 69) = ( 2 x 69 ) / 138
GCD(2, 69) = 138 / 138
GCD(2, 69) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 436
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 436) = 436
GCD(1, 436) = ( 1 x 436 ) / 436
GCD(1, 436) = 436 / 436
GCD(1, 436) = 1
GCD of 570, 688, 69, 436 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 570, 688, 69, 436?
GCD of 570, 688, 69, 436 is 1
2. Where do I get the detailed procedure to find GCD of 570, 688, 69, 436?
You can find a detailed procedure to find GCD of 570, 688, 69, 436 on our page.
3. How to find GCD of 570, 688, 69, 436 on a calculator?
You can find the GCD of 570, 688, 69, 436 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.