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 469, 978, 74, 947 i.e. 1 largest integer that divides all the numbers equally.
GCD of 469, 978, 74, 947 is 1
GCD(469, 978, 74, 947) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 469, 978, 74, 947 is 1
GCD(469, 978, 74, 947) = 1
Given Input numbers are 469, 978, 74, 947
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 469
List of positive integer divisors of 469 that divides 469 without a remainder.
1, 7, 67, 469
Divisors of 978
List of positive integer divisors of 978 that divides 978 without a remainder.
1, 2, 3, 6, 163, 326, 489, 978
Divisors of 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Divisors of 947
List of positive integer divisors of 947 that divides 947 without a remainder.
1, 947
Greatest Common Divisior
We found the divisors of 469, 978, 74, 947 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 469, 978, 74, 947 is 1.
Therefore, GCD of numbers 469, 978, 74, 947 is 1
Given Input Data is 469, 978, 74, 947
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 469 is 7 x 67
Prime Factorization of 978 is 2 x 3 x 163
Prime Factorization of 74 is 2 x 37
Prime Factorization of 947 is 947
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(469, 978) = 458682
GCD(469, 978) = ( 469 x 978 ) / 458682
GCD(469, 978) = 458682 / 458682
GCD(469, 978) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 74
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 74) = 74
GCD(1, 74) = ( 1 x 74 ) / 74
GCD(1, 74) = 74 / 74
GCD(1, 74) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 947
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 947) = 947
GCD(1, 947) = ( 1 x 947 ) / 947
GCD(1, 947) = 947 / 947
GCD(1, 947) = 1
GCD of 469, 978, 74, 947 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 469, 978, 74, 947?
GCD of 469, 978, 74, 947 is 1
2. Where do I get the detailed procedure to find GCD of 469, 978, 74, 947?
You can find a detailed procedure to find GCD of 469, 978, 74, 947 on our page.
3. How to find GCD of 469, 978, 74, 947 on a calculator?
You can find the GCD of 469, 978, 74, 947 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.