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 15, 846, 948, 508 i.e. 1 largest integer that divides all the numbers equally.
GCD of 15, 846, 948, 508 is 1
GCD(15, 846, 948, 508) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 15, 846, 948, 508 is 1
GCD(15, 846, 948, 508) = 1
Given Input numbers are 15, 846, 948, 508
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 846
List of positive integer divisors of 846 that divides 846 without a remainder.
1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
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 508
List of positive integer divisors of 508 that divides 508 without a remainder.
1, 2, 4, 127, 254, 508
Greatest Common Divisior
We found the divisors of 15, 846, 948, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 846, 948, 508 is 1.
Therefore, GCD of numbers 15, 846, 948, 508 is 1
Given Input Data is 15, 846, 948, 508
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 15 is 3 x 5
Prime Factorization of 846 is 2 x 3 x 3 x 47
Prime Factorization of 948 is 2 x 2 x 3 x 79
Prime Factorization of 508 is 2 x 2 x 127
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(15, 846) = 4230
GCD(15, 846) = ( 15 x 846 ) / 4230
GCD(15, 846) = 12690 / 4230
GCD(15, 846) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 948
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 948) = 948
GCD(3, 948) = ( 3 x 948 ) / 948
GCD(3, 948) = 2844 / 948
GCD(3, 948) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 508
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 508) = 1524
GCD(3, 508) = ( 3 x 508 ) / 1524
GCD(3, 508) = 1524 / 1524
GCD(3, 508) = 1
GCD of 15, 846, 948, 508 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 15, 846, 948, 508?
GCD of 15, 846, 948, 508 is 1
2. Where do I get the detailed procedure to find GCD of 15, 846, 948, 508?
You can find a detailed procedure to find GCD of 15, 846, 948, 508 on our page.
3. How to find GCD of 15, 846, 948, 508 on a calculator?
You can find the GCD of 15, 846, 948, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.