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 60, 709, 444, 380 i.e. 1 largest integer that divides all the numbers equally.
GCD of 60, 709, 444, 380 is 1
GCD(60, 709, 444, 380) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 60, 709, 444, 380 is 1
GCD(60, 709, 444, 380) = 1
Given Input numbers are 60, 709, 444, 380
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 709
List of positive integer divisors of 709 that divides 709 without a remainder.
1, 709
Divisors of 444
List of positive integer divisors of 444 that divides 444 without a remainder.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
Divisors of 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Greatest Common Divisior
We found the divisors of 60, 709, 444, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 709, 444, 380 is 1.
Therefore, GCD of numbers 60, 709, 444, 380 is 1
Given Input Data is 60, 709, 444, 380
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 709 is 709
Prime Factorization of 444 is 2 x 2 x 3 x 37
Prime Factorization of 380 is 2 x 2 x 5 x 19
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(60, 709) = 42540
GCD(60, 709) = ( 60 x 709 ) / 42540
GCD(60, 709) = 42540 / 42540
GCD(60, 709) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 444
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 444) = 444
GCD(1, 444) = ( 1 x 444 ) / 444
GCD(1, 444) = 444 / 444
GCD(1, 444) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 380
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 380) = 380
GCD(1, 380) = ( 1 x 380 ) / 380
GCD(1, 380) = 380 / 380
GCD(1, 380) = 1
GCD of 60, 709, 444, 380 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 60, 709, 444, 380?
GCD of 60, 709, 444, 380 is 1
2. Where do I get the detailed procedure to find GCD of 60, 709, 444, 380?
You can find a detailed procedure to find GCD of 60, 709, 444, 380 on our page.
3. How to find GCD of 60, 709, 444, 380 on a calculator?
You can find the GCD of 60, 709, 444, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.