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 534, 998, 15, 972 i.e. 1 largest integer that divides all the numbers equally.
GCD of 534, 998, 15, 972 is 1
GCD(534, 998, 15, 972) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 534, 998, 15, 972 is 1
GCD(534, 998, 15, 972) = 1
Given Input numbers are 534, 998, 15, 972
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 534
List of positive integer divisors of 534 that divides 534 without a remainder.
1, 2, 3, 6, 89, 178, 267, 534
Divisors of 998
List of positive integer divisors of 998 that divides 998 without a remainder.
1, 2, 499, 998
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 972
List of positive integer divisors of 972 that divides 972 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Greatest Common Divisior
We found the divisors of 534, 998, 15, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 534, 998, 15, 972 is 1.
Therefore, GCD of numbers 534, 998, 15, 972 is 1
Given Input Data is 534, 998, 15, 972
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 534 is 2 x 3 x 89
Prime Factorization of 998 is 2 x 499
Prime Factorization of 15 is 3 x 5
Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3
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(534, 998) = 266466
GCD(534, 998) = ( 534 x 998 ) / 266466
GCD(534, 998) = 532932 / 266466
GCD(534, 998) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 15) = 30
GCD(2, 15) = ( 2 x 15 ) / 30
GCD(2, 15) = 30 / 30
GCD(2, 15) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 972
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
GCD(1, 972) = 972 / 972
GCD(1, 972) = 1
GCD of 534, 998, 15, 972 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 534, 998, 15, 972?
GCD of 534, 998, 15, 972 is 1
2. Where do I get the detailed procedure to find GCD of 534, 998, 15, 972?
You can find a detailed procedure to find GCD of 534, 998, 15, 972 on our page.
3. How to find GCD of 534, 998, 15, 972 on a calculator?
You can find the GCD of 534, 998, 15, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.