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 705, 642, 394, 901 i.e. 1 largest integer that divides all the numbers equally.
GCD of 705, 642, 394, 901 is 1
GCD(705, 642, 394, 901) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 705, 642, 394, 901 is 1
GCD(705, 642, 394, 901) = 1
Given Input numbers are 705, 642, 394, 901
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 705
List of positive integer divisors of 705 that divides 705 without a remainder.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 642
List of positive integer divisors of 642 that divides 642 without a remainder.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 394
List of positive integer divisors of 394 that divides 394 without a remainder.
1, 2, 197, 394
Divisors of 901
List of positive integer divisors of 901 that divides 901 without a remainder.
1, 17, 53, 901
Greatest Common Divisior
We found the divisors of 705, 642, 394, 901 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 642, 394, 901 is 1.
Therefore, GCD of numbers 705, 642, 394, 901 is 1
Given Input Data is 705, 642, 394, 901
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 705 is 3 x 5 x 47
Prime Factorization of 642 is 2 x 3 x 107
Prime Factorization of 394 is 2 x 197
Prime Factorization of 901 is 17 x 53
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(705, 642) = 150870
GCD(705, 642) = ( 705 x 642 ) / 150870
GCD(705, 642) = 452610 / 150870
GCD(705, 642) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 394
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 394) = 1182
GCD(3, 394) = ( 3 x 394 ) / 1182
GCD(3, 394) = 1182 / 1182
GCD(3, 394) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 901
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 901) = 901
GCD(1, 901) = ( 1 x 901 ) / 901
GCD(1, 901) = 901 / 901
GCD(1, 901) = 1
GCD of 705, 642, 394, 901 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 705, 642, 394, 901?
GCD of 705, 642, 394, 901 is 1
2. Where do I get the detailed procedure to find GCD of 705, 642, 394, 901?
You can find a detailed procedure to find GCD of 705, 642, 394, 901 on our page.
3. How to find GCD of 705, 642, 394, 901 on a calculator?
You can find the GCD of 705, 642, 394, 901 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.