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 938, 469, 15, 945 i.e. 1 largest integer that divides all the numbers equally.
GCD of 938, 469, 15, 945 is 1
GCD(938, 469, 15, 945) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 938, 469, 15, 945 is 1
GCD(938, 469, 15, 945) = 1
Given Input numbers are 938, 469, 15, 945
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 938
List of positive integer divisors of 938 that divides 938 without a remainder.
1, 2, 7, 14, 67, 134, 469, 938
Divisors of 469
List of positive integer divisors of 469 that divides 469 without a remainder.
1, 7, 67, 469
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 945
List of positive integer divisors of 945 that divides 945 without a remainder.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Greatest Common Divisior
We found the divisors of 938, 469, 15, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 938, 469, 15, 945 is 1.
Therefore, GCD of numbers 938, 469, 15, 945 is 1
Given Input Data is 938, 469, 15, 945
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 938 is 2 x 7 x 67
Prime Factorization of 469 is 7 x 67
Prime Factorization of 15 is 3 x 5
Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7
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(938, 469) = 938
GCD(938, 469) = ( 938 x 469 ) / 938
GCD(938, 469) = 439922 / 938
GCD(938, 469) = 469
Step2:
Here we consider the GCD from the above i.e. 469 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(469, 15) = 7035
GCD(469, 15) = ( 469 x 15 ) / 7035
GCD(469, 15) = 7035 / 7035
GCD(469, 15) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 945
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 945) = 945
GCD(1, 945) = ( 1 x 945 ) / 945
GCD(1, 945) = 945 / 945
GCD(1, 945) = 1
GCD of 938, 469, 15, 945 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 938, 469, 15, 945?
GCD of 938, 469, 15, 945 is 1
2. Where do I get the detailed procedure to find GCD of 938, 469, 15, 945?
You can find a detailed procedure to find GCD of 938, 469, 15, 945 on our page.
3. How to find GCD of 938, 469, 15, 945 on a calculator?
You can find the GCD of 938, 469, 15, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.