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 524, 924, 73, 739 i.e. 1 largest integer that divides all the numbers equally.
GCD of 524, 924, 73, 739 is 1
GCD(524, 924, 73, 739) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 524, 924, 73, 739 is 1
GCD(524, 924, 73, 739) = 1
Given Input numbers are 524, 924, 73, 739
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 524
List of positive integer divisors of 524 that divides 524 without a remainder.
1, 2, 4, 131, 262, 524
Divisors of 924
List of positive integer divisors of 924 that divides 924 without a remainder.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 739
List of positive integer divisors of 739 that divides 739 without a remainder.
1, 739
Greatest Common Divisior
We found the divisors of 524, 924, 73, 739 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 924, 73, 739 is 1.
Therefore, GCD of numbers 524, 924, 73, 739 is 1
Given Input Data is 524, 924, 73, 739
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 524 is 2 x 2 x 131
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
Prime Factorization of 73 is 73
Prime Factorization of 739 is 739
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(524, 924) = 121044
GCD(524, 924) = ( 524 x 924 ) / 121044
GCD(524, 924) = 484176 / 121044
GCD(524, 924) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 73) = 292
GCD(4, 73) = ( 4 x 73 ) / 292
GCD(4, 73) = 292 / 292
GCD(4, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 739
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 739) = 739
GCD(1, 739) = ( 1 x 739 ) / 739
GCD(1, 739) = 739 / 739
GCD(1, 739) = 1
GCD of 524, 924, 73, 739 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 524, 924, 73, 739?
GCD of 524, 924, 73, 739 is 1
2. Where do I get the detailed procedure to find GCD of 524, 924, 73, 739?
You can find a detailed procedure to find GCD of 524, 924, 73, 739 on our page.
3. How to find GCD of 524, 924, 73, 739 on a calculator?
You can find the GCD of 524, 924, 73, 739 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.