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 46, 767, 570, 321 i.e. 1 largest integer that divides all the numbers equally.
GCD of 46, 767, 570, 321 is 1
GCD(46, 767, 570, 321) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 46, 767, 570, 321 is 1
GCD(46, 767, 570, 321) = 1
Given Input numbers are 46, 767, 570, 321
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Divisors of 767
List of positive integer divisors of 767 that divides 767 without a remainder.
1, 13, 59, 767
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 321
List of positive integer divisors of 321 that divides 321 without a remainder.
1, 3, 107, 321
Greatest Common Divisior
We found the divisors of 46, 767, 570, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 767, 570, 321 is 1.
Therefore, GCD of numbers 46, 767, 570, 321 is 1
Given Input Data is 46, 767, 570, 321
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 46 is 2 x 23
Prime Factorization of 767 is 13 x 59
Prime Factorization of 570 is 2 x 3 x 5 x 19
Prime Factorization of 321 is 3 x 107
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(46, 767) = 35282
GCD(46, 767) = ( 46 x 767 ) / 35282
GCD(46, 767) = 35282 / 35282
GCD(46, 767) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 570
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 570) = 570
GCD(1, 570) = ( 1 x 570 ) / 570
GCD(1, 570) = 570 / 570
GCD(1, 570) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 321
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 321) = 321
GCD(1, 321) = ( 1 x 321 ) / 321
GCD(1, 321) = 321 / 321
GCD(1, 321) = 1
GCD of 46, 767, 570, 321 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 46, 767, 570, 321?
GCD of 46, 767, 570, 321 is 1
2. Where do I get the detailed procedure to find GCD of 46, 767, 570, 321?
You can find a detailed procedure to find GCD of 46, 767, 570, 321 on our page.
3. How to find GCD of 46, 767, 570, 321 on a calculator?
You can find the GCD of 46, 767, 570, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.