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 973, 737, 107, 419 i.e. 1 largest integer that divides all the numbers equally.
GCD of 973, 737, 107, 419 is 1
GCD(973, 737, 107, 419) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 973, 737, 107, 419 is 1
GCD(973, 737, 107, 419) = 1
Given Input numbers are 973, 737, 107, 419
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 973
List of positive integer divisors of 973 that divides 973 without a remainder.
1, 7, 139, 973
Divisors of 737
List of positive integer divisors of 737 that divides 737 without a remainder.
1, 11, 67, 737
Divisors of 107
List of positive integer divisors of 107 that divides 107 without a remainder.
1, 107
Divisors of 419
List of positive integer divisors of 419 that divides 419 without a remainder.
1, 419
Greatest Common Divisior
We found the divisors of 973, 737, 107, 419 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 973, 737, 107, 419 is 1.
Therefore, GCD of numbers 973, 737, 107, 419 is 1
Given Input Data is 973, 737, 107, 419
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 973 is 7 x 139
Prime Factorization of 737 is 11 x 67
Prime Factorization of 107 is 107
Prime Factorization of 419 is 419
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(973, 737) = 717101
GCD(973, 737) = ( 973 x 737 ) / 717101
GCD(973, 737) = 717101 / 717101
GCD(973, 737) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 107
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 107) = 107
GCD(1, 107) = ( 1 x 107 ) / 107
GCD(1, 107) = 107 / 107
GCD(1, 107) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 419
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 419) = 419
GCD(1, 419) = ( 1 x 419 ) / 419
GCD(1, 419) = 419 / 419
GCD(1, 419) = 1
GCD of 973, 737, 107, 419 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 973, 737, 107, 419?
GCD of 973, 737, 107, 419 is 1
2. Where do I get the detailed procedure to find GCD of 973, 737, 107, 419?
You can find a detailed procedure to find GCD of 973, 737, 107, 419 on our page.
3. How to find GCD of 973, 737, 107, 419 on a calculator?
You can find the GCD of 973, 737, 107, 419 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.