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 642, 401, 45, 785 i.e. 1 largest integer that divides all the numbers equally.
GCD of 642, 401, 45, 785 is 1
GCD(642, 401, 45, 785) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 642, 401, 45, 785 is 1
GCD(642, 401, 45, 785) = 1
Given Input numbers are 642, 401, 45, 785
To find the GCD of numbers using factoring list out all the divisors of each number
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 401
List of positive integer divisors of 401 that divides 401 without a remainder.
1, 401
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Divisors of 785
List of positive integer divisors of 785 that divides 785 without a remainder.
1, 5, 157, 785
Greatest Common Divisior
We found the divisors of 642, 401, 45, 785 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 401, 45, 785 is 1.
Therefore, GCD of numbers 642, 401, 45, 785 is 1
Given Input Data is 642, 401, 45, 785
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 642 is 2 x 3 x 107
Prime Factorization of 401 is 401
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 785 is 5 x 157
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(642, 401) = 257442
GCD(642, 401) = ( 642 x 401 ) / 257442
GCD(642, 401) = 257442 / 257442
GCD(642, 401) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 45) = 45
GCD(1, 45) = ( 1 x 45 ) / 45
GCD(1, 45) = 45 / 45
GCD(1, 45) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 785
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 785) = 785
GCD(1, 785) = ( 1 x 785 ) / 785
GCD(1, 785) = 785 / 785
GCD(1, 785) = 1
GCD of 642, 401, 45, 785 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 642, 401, 45, 785?
GCD of 642, 401, 45, 785 is 1
2. Where do I get the detailed procedure to find GCD of 642, 401, 45, 785?
You can find a detailed procedure to find GCD of 642, 401, 45, 785 on our page.
3. How to find GCD of 642, 401, 45, 785 on a calculator?
You can find the GCD of 642, 401, 45, 785 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.