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, 715, 74, 378 i.e. 1 largest integer that divides all the numbers equally.
GCD of 570, 715, 74, 378 is 1
GCD(570, 715, 74, 378) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 570, 715, 74, 378 is 1
GCD(570, 715, 74, 378) = 1
Given Input numbers are 570, 715, 74, 378
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 715
List of positive integer divisors of 715 that divides 715 without a remainder.
1, 5, 11, 13, 55, 65, 143, 715
Divisors of 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Divisors of 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Greatest Common Divisior
We found the divisors of 570, 715, 74, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 570, 715, 74, 378 is 1.
Therefore, GCD of numbers 570, 715, 74, 378 is 1
Given Input Data is 570, 715, 74, 378
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 715 is 5 x 11 x 13
Prime Factorization of 74 is 2 x 37
Prime Factorization of 378 is 2 x 3 x 3 x 3 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(570, 715) = 81510
GCD(570, 715) = ( 570 x 715 ) / 81510
GCD(570, 715) = 407550 / 81510
GCD(570, 715) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 74
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 74) = 370
GCD(5, 74) = ( 5 x 74 ) / 370
GCD(5, 74) = 370 / 370
GCD(5, 74) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 378
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 378) = 378
GCD(1, 378) = ( 1 x 378 ) / 378
GCD(1, 378) = 378 / 378
GCD(1, 378) = 1
GCD of 570, 715, 74, 378 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 570, 715, 74, 378?
GCD of 570, 715, 74, 378 is 1
2. Where do I get the detailed procedure to find GCD of 570, 715, 74, 378?
You can find a detailed procedure to find GCD of 570, 715, 74, 378 on our page.
3. How to find GCD of 570, 715, 74, 378 on a calculator?
You can find the GCD of 570, 715, 74, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.