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, 612, 757, 773 i.e. 1 largest integer that divides all the numbers equally.
GCD of 974, 612, 757, 773 is 1
GCD(974, 612, 757, 773) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 974, 612, 757, 773 is 1
GCD(974, 612, 757, 773) = 1
Given Input numbers are 974, 612, 757, 773
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 612
List of positive integer divisors of 612 that divides 612 without a remainder.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 757
List of positive integer divisors of 757 that divides 757 without a remainder.
1, 757
Divisors of 773
List of positive integer divisors of 773 that divides 773 without a remainder.
1, 773
Greatest Common Divisior
We found the divisors of 974, 612, 757, 773 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 612, 757, 773 is 1.
Therefore, GCD of numbers 974, 612, 757, 773 is 1
Given Input Data is 974, 612, 757, 773
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 974 is 2 x 487
Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17
Prime Factorization of 757 is 757
Prime Factorization of 773 is 773
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, 612) = 298044
GCD(974, 612) = ( 974 x 612 ) / 298044
GCD(974, 612) = 596088 / 298044
GCD(974, 612) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 757
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 757) = 1514
GCD(2, 757) = ( 2 x 757 ) / 1514
GCD(2, 757) = 1514 / 1514
GCD(2, 757) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 773
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 773) = 773
GCD(1, 773) = ( 1 x 773 ) / 773
GCD(1, 773) = 773 / 773
GCD(1, 773) = 1
GCD of 974, 612, 757, 773 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 974, 612, 757, 773?
GCD of 974, 612, 757, 773 is 1
2. Where do I get the detailed procedure to find GCD of 974, 612, 757, 773?
You can find a detailed procedure to find GCD of 974, 612, 757, 773 on our page.
3. How to find GCD of 974, 612, 757, 773 on a calculator?
You can find the GCD of 974, 612, 757, 773 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.