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 948, 827, 15, 462 i.e. 1 largest integer that divides all the numbers equally.
GCD of 948, 827, 15, 462 is 1
GCD(948, 827, 15, 462) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 948, 827, 15, 462 is 1
GCD(948, 827, 15, 462) = 1
Given Input numbers are 948, 827, 15, 462
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 948
List of positive integer divisors of 948 that divides 948 without a remainder.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 827
List of positive integer divisors of 827 that divides 827 without a remainder.
1, 827
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 462
List of positive integer divisors of 462 that divides 462 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Greatest Common Divisior
We found the divisors of 948, 827, 15, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 948, 827, 15, 462 is 1.
Therefore, GCD of numbers 948, 827, 15, 462 is 1
Given Input Data is 948, 827, 15, 462
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 948 is 2 x 2 x 3 x 79
Prime Factorization of 827 is 827
Prime Factorization of 15 is 3 x 5
Prime Factorization of 462 is 2 x 3 x 7 x 11
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(948, 827) = 783996
GCD(948, 827) = ( 948 x 827 ) / 783996
GCD(948, 827) = 783996 / 783996
GCD(948, 827) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 15) = 15
GCD(1, 15) = ( 1 x 15 ) / 15
GCD(1, 15) = 15 / 15
GCD(1, 15) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 462
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 462) = 462
GCD(1, 462) = ( 1 x 462 ) / 462
GCD(1, 462) = 462 / 462
GCD(1, 462) = 1
GCD of 948, 827, 15, 462 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 948, 827, 15, 462?
GCD of 948, 827, 15, 462 is 1
2. Where do I get the detailed procedure to find GCD of 948, 827, 15, 462?
You can find a detailed procedure to find GCD of 948, 827, 15, 462 on our page.
3. How to find GCD of 948, 827, 15, 462 on a calculator?
You can find the GCD of 948, 827, 15, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.