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 37, 608, 981, 850 i.e. 1 largest integer that divides all the numbers equally.
GCD of 37, 608, 981, 850 is 1
GCD(37, 608, 981, 850) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 37, 608, 981, 850 is 1
GCD(37, 608, 981, 850) = 1
Given Input numbers are 37, 608, 981, 850
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 37
List of positive integer divisors of 37 that divides 37 without a remainder.
1, 37
Divisors of 608
List of positive integer divisors of 608 that divides 608 without a remainder.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
Divisors of 981
List of positive integer divisors of 981 that divides 981 without a remainder.
1, 3, 9, 109, 327, 981
Divisors of 850
List of positive integer divisors of 850 that divides 850 without a remainder.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Greatest Common Divisior
We found the divisors of 37, 608, 981, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 608, 981, 850 is 1.
Therefore, GCD of numbers 37, 608, 981, 850 is 1
Given Input Data is 37, 608, 981, 850
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 37 is 37
Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19
Prime Factorization of 981 is 3 x 3 x 109
Prime Factorization of 850 is 2 x 5 x 5 x 17
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(37, 608) = 22496
GCD(37, 608) = ( 37 x 608 ) / 22496
GCD(37, 608) = 22496 / 22496
GCD(37, 608) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 981
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 981) = 981
GCD(1, 981) = ( 1 x 981 ) / 981
GCD(1, 981) = 981 / 981
GCD(1, 981) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 850
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 850) = 850
GCD(1, 850) = ( 1 x 850 ) / 850
GCD(1, 850) = 850 / 850
GCD(1, 850) = 1
GCD of 37, 608, 981, 850 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 37, 608, 981, 850?
GCD of 37, 608, 981, 850 is 1
2. Where do I get the detailed procedure to find GCD of 37, 608, 981, 850?
You can find a detailed procedure to find GCD of 37, 608, 981, 850 on our page.
3. How to find GCD of 37, 608, 981, 850 on a calculator?
You can find the GCD of 37, 608, 981, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.