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 649, 511, 67, 706 i.e. 1 largest integer that divides all the numbers equally.
GCD of 649, 511, 67, 706 is 1
GCD(649, 511, 67, 706) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 649, 511, 67, 706 is 1
GCD(649, 511, 67, 706) = 1
Given Input numbers are 649, 511, 67, 706
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 649
List of positive integer divisors of 649 that divides 649 without a remainder.
1, 11, 59, 649
Divisors of 511
List of positive integer divisors of 511 that divides 511 without a remainder.
1, 7, 73, 511
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 706
List of positive integer divisors of 706 that divides 706 without a remainder.
1, 2, 353, 706
Greatest Common Divisior
We found the divisors of 649, 511, 67, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 649, 511, 67, 706 is 1.
Therefore, GCD of numbers 649, 511, 67, 706 is 1
Given Input Data is 649, 511, 67, 706
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 649 is 11 x 59
Prime Factorization of 511 is 7 x 73
Prime Factorization of 67 is 67
Prime Factorization of 706 is 2 x 353
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(649, 511) = 331639
GCD(649, 511) = ( 649 x 511 ) / 331639
GCD(649, 511) = 331639 / 331639
GCD(649, 511) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 67) = 67
GCD(1, 67) = ( 1 x 67 ) / 67
GCD(1, 67) = 67 / 67
GCD(1, 67) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 706
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 706) = 706
GCD(1, 706) = ( 1 x 706 ) / 706
GCD(1, 706) = 706 / 706
GCD(1, 706) = 1
GCD of 649, 511, 67, 706 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 649, 511, 67, 706?
GCD of 649, 511, 67, 706 is 1
2. Where do I get the detailed procedure to find GCD of 649, 511, 67, 706?
You can find a detailed procedure to find GCD of 649, 511, 67, 706 on our page.
3. How to find GCD of 649, 511, 67, 706 on a calculator?
You can find the GCD of 649, 511, 67, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.