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 974, 693, 27, 992 i.e. 1 largest integer that divides all the numbers equally.
GCD of 974, 693, 27, 992 is 1
GCD(974, 693, 27, 992) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 974, 693, 27, 992 is 1
GCD(974, 693, 27, 992) = 1
Given Input numbers are 974, 693, 27, 992
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 974
List of positive integer divisors of 974 that divides 974 without a remainder.
1, 2, 487, 974
Divisors of 693
List of positive integer divisors of 693 that divides 693 without a remainder.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 992
List of positive integer divisors of 992 that divides 992 without a remainder.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
Greatest Common Divisior
We found the divisors of 974, 693, 27, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 693, 27, 992 is 1.
Therefore, GCD of numbers 974, 693, 27, 992 is 1
Given Input Data is 974, 693, 27, 992
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 974 is 2 x 487
Prime Factorization of 693 is 3 x 3 x 7 x 11
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31
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(974, 693) = 674982
GCD(974, 693) = ( 974 x 693 ) / 674982
GCD(974, 693) = 674982 / 674982
GCD(974, 693) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 27
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 27) = 27
GCD(1, 27) = ( 1 x 27 ) / 27
GCD(1, 27) = 27 / 27
GCD(1, 27) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 992
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 992) = 992
GCD(1, 992) = ( 1 x 992 ) / 992
GCD(1, 992) = 992 / 992
GCD(1, 992) = 1
GCD of 974, 693, 27, 992 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 974, 693, 27, 992?
GCD of 974, 693, 27, 992 is 1
2. Where do I get the detailed procedure to find GCD of 974, 693, 27, 992?
You can find a detailed procedure to find GCD of 974, 693, 27, 992 on our page.
3. How to find GCD of 974, 693, 27, 992 on a calculator?
You can find the GCD of 974, 693, 27, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.