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 42, 695, 444, 758 i.e. 1 largest integer that divides all the numbers equally.
GCD of 42, 695, 444, 758 is 1
GCD(42, 695, 444, 758) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 42, 695, 444, 758 is 1
GCD(42, 695, 444, 758) = 1
Given Input numbers are 42, 695, 444, 758
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 695
List of positive integer divisors of 695 that divides 695 without a remainder.
1, 5, 139, 695
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 758
List of positive integer divisors of 758 that divides 758 without a remainder.
1, 2, 379, 758
Greatest Common Divisior
We found the divisors of 42, 695, 444, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 695, 444, 758 is 1.
Therefore, GCD of numbers 42, 695, 444, 758 is 1
Given Input Data is 42, 695, 444, 758
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 695 is 5 x 139
Prime Factorization of 444 is 2 x 2 x 3 x 37
Prime Factorization of 758 is 2 x 379
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(42, 695) = 29190
GCD(42, 695) = ( 42 x 695 ) / 29190
GCD(42, 695) = 29190 / 29190
GCD(42, 695) = 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 758
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 758) = 758
GCD(1, 758) = ( 1 x 758 ) / 758
GCD(1, 758) = 758 / 758
GCD(1, 758) = 1
GCD of 42, 695, 444, 758 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 42, 695, 444, 758?
GCD of 42, 695, 444, 758 is 1
2. Where do I get the detailed procedure to find GCD of 42, 695, 444, 758?
You can find a detailed procedure to find GCD of 42, 695, 444, 758 on our page.
3. How to find GCD of 42, 695, 444, 758 on a calculator?
You can find the GCD of 42, 695, 444, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.