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, 620, 60, 594 i.e. 2 largest integer that divides all the numbers equally.
GCD of 974, 620, 60, 594 is 2
GCD(974, 620, 60, 594) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 974, 620, 60, 594 is 2
GCD(974, 620, 60, 594) = 2
Given Input numbers are 974, 620, 60, 594
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 620
List of positive integer divisors of 620 that divides 620 without a remainder.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 594
List of positive integer divisors of 594 that divides 594 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
Greatest Common Divisior
We found the divisors of 974, 620, 60, 594 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 620, 60, 594 is 2.
Therefore, GCD of numbers 974, 620, 60, 594 is 2
Given Input Data is 974, 620, 60, 594
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 974 is 2 x 487
Prime Factorization of 620 is 2 x 2 x 5 x 31
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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, 620) = 301940
GCD(974, 620) = ( 974 x 620 ) / 301940
GCD(974, 620) = 603880 / 301940
GCD(974, 620) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 60) = 60
GCD(2, 60) = ( 2 x 60 ) / 60
GCD(2, 60) = 120 / 60
GCD(2, 60) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 594
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 594) = 594
GCD(2, 594) = ( 2 x 594 ) / 594
GCD(2, 594) = 1188 / 594
GCD(2, 594) = 2
GCD of 974, 620, 60, 594 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 974, 620, 60, 594?
GCD of 974, 620, 60, 594 is 2
2. Where do I get the detailed procedure to find GCD of 974, 620, 60, 594?
You can find a detailed procedure to find GCD of 974, 620, 60, 594 on our page.
3. How to find GCD of 974, 620, 60, 594 on a calculator?
You can find the GCD of 974, 620, 60, 594 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.