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 644, 446, 69, 770 i.e. 1 largest integer that divides all the numbers equally.
GCD of 644, 446, 69, 770 is 1
GCD(644, 446, 69, 770) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 644, 446, 69, 770 is 1
GCD(644, 446, 69, 770) = 1
Given Input numbers are 644, 446, 69, 770
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 644
List of positive integer divisors of 644 that divides 644 without a remainder.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
Divisors of 446
List of positive integer divisors of 446 that divides 446 without a remainder.
1, 2, 223, 446
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 770
List of positive integer divisors of 770 that divides 770 without a remainder.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Greatest Common Divisior
We found the divisors of 644, 446, 69, 770 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 644, 446, 69, 770 is 1.
Therefore, GCD of numbers 644, 446, 69, 770 is 1
Given Input Data is 644, 446, 69, 770
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 644 is 2 x 2 x 7 x 23
Prime Factorization of 446 is 2 x 223
Prime Factorization of 69 is 3 x 23
Prime Factorization of 770 is 2 x 5 x 7 x 11
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(644, 446) = 143612
GCD(644, 446) = ( 644 x 446 ) / 143612
GCD(644, 446) = 287224 / 143612
GCD(644, 446) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 69) = 138
GCD(2, 69) = ( 2 x 69 ) / 138
GCD(2, 69) = 138 / 138
GCD(2, 69) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 770
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 770) = 770
GCD(1, 770) = ( 1 x 770 ) / 770
GCD(1, 770) = 770 / 770
GCD(1, 770) = 1
GCD of 644, 446, 69, 770 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 644, 446, 69, 770?
GCD of 644, 446, 69, 770 is 1
2. Where do I get the detailed procedure to find GCD of 644, 446, 69, 770?
You can find a detailed procedure to find GCD of 644, 446, 69, 770 on our page.
3. How to find GCD of 644, 446, 69, 770 on a calculator?
You can find the GCD of 644, 446, 69, 770 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.