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, 772, 103, 843 i.e. 1 largest integer that divides all the numbers equally.
GCD of 974, 772, 103, 843 is 1
GCD(974, 772, 103, 843) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 974, 772, 103, 843 is 1
GCD(974, 772, 103, 843) = 1
Given Input numbers are 974, 772, 103, 843
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 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Divisors of 843
List of positive integer divisors of 843 that divides 843 without a remainder.
1, 3, 281, 843
Greatest Common Divisior
We found the divisors of 974, 772, 103, 843 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 772, 103, 843 is 1.
Therefore, GCD of numbers 974, 772, 103, 843 is 1
Given Input Data is 974, 772, 103, 843
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 974 is 2 x 487
Prime Factorization of 772 is 2 x 2 x 193
Prime Factorization of 103 is 103
Prime Factorization of 843 is 3 x 281
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, 772) = 375964
GCD(974, 772) = ( 974 x 772 ) / 375964
GCD(974, 772) = 751928 / 375964
GCD(974, 772) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 103
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 103) = 206
GCD(2, 103) = ( 2 x 103 ) / 206
GCD(2, 103) = 206 / 206
GCD(2, 103) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 843
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 843) = 843
GCD(1, 843) = ( 1 x 843 ) / 843
GCD(1, 843) = 843 / 843
GCD(1, 843) = 1
GCD of 974, 772, 103, 843 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 974, 772, 103, 843?
GCD of 974, 772, 103, 843 is 1
2. Where do I get the detailed procedure to find GCD of 974, 772, 103, 843?
You can find a detailed procedure to find GCD of 974, 772, 103, 843 on our page.
3. How to find GCD of 974, 772, 103, 843 on a calculator?
You can find the GCD of 974, 772, 103, 843 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.