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, 319, 97, 126 i.e. 1 largest integer that divides all the numbers equally.
GCD of 649, 319, 97, 126 is 1
GCD(649, 319, 97, 126) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 649, 319, 97, 126 is 1
GCD(649, 319, 97, 126) = 1
Given Input numbers are 649, 319, 97, 126
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 319
List of positive integer divisors of 319 that divides 319 without a remainder.
1, 11, 29, 319
Divisors of 97
List of positive integer divisors of 97 that divides 97 without a remainder.
1, 97
Divisors of 126
List of positive integer divisors of 126 that divides 126 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Greatest Common Divisior
We found the divisors of 649, 319, 97, 126 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 649, 319, 97, 126 is 1.
Therefore, GCD of numbers 649, 319, 97, 126 is 1
Given Input Data is 649, 319, 97, 126
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 649 is 11 x 59
Prime Factorization of 319 is 11 x 29
Prime Factorization of 97 is 97
Prime Factorization of 126 is 2 x 3 x 3 x 7
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, 319) = 18821
GCD(649, 319) = ( 649 x 319 ) / 18821
GCD(649, 319) = 207031 / 18821
GCD(649, 319) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 97
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 97) = 1067
GCD(11, 97) = ( 11 x 97 ) / 1067
GCD(11, 97) = 1067 / 1067
GCD(11, 97) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 126
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 126) = 126
GCD(1, 126) = ( 1 x 126 ) / 126
GCD(1, 126) = 126 / 126
GCD(1, 126) = 1
GCD of 649, 319, 97, 126 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 649, 319, 97, 126?
GCD of 649, 319, 97, 126 is 1
2. Where do I get the detailed procedure to find GCD of 649, 319, 97, 126?
You can find a detailed procedure to find GCD of 649, 319, 97, 126 on our page.
3. How to find GCD of 649, 319, 97, 126 on a calculator?
You can find the GCD of 649, 319, 97, 126 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.