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 565, 924, 42, 755 i.e. 1 largest integer that divides all the numbers equally.
GCD of 565, 924, 42, 755 is 1
GCD(565, 924, 42, 755) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 565, 924, 42, 755 is 1
GCD(565, 924, 42, 755) = 1
Given Input numbers are 565, 924, 42, 755
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 565
List of positive integer divisors of 565 that divides 565 without a remainder.
1, 5, 113, 565
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 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 755
List of positive integer divisors of 755 that divides 755 without a remainder.
1, 5, 151, 755
Greatest Common Divisior
We found the divisors of 565, 924, 42, 755 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 565, 924, 42, 755 is 1.
Therefore, GCD of numbers 565, 924, 42, 755 is 1
Given Input Data is 565, 924, 42, 755
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 565 is 5 x 113
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 755 is 5 x 151
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(565, 924) = 522060
GCD(565, 924) = ( 565 x 924 ) / 522060
GCD(565, 924) = 522060 / 522060
GCD(565, 924) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 42) = 42
GCD(1, 42) = ( 1 x 42 ) / 42
GCD(1, 42) = 42 / 42
GCD(1, 42) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 755
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 755) = 755
GCD(1, 755) = ( 1 x 755 ) / 755
GCD(1, 755) = 755 / 755
GCD(1, 755) = 1
GCD of 565, 924, 42, 755 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 565, 924, 42, 755?
GCD of 565, 924, 42, 755 is 1
2. Where do I get the detailed procedure to find GCD of 565, 924, 42, 755?
You can find a detailed procedure to find GCD of 565, 924, 42, 755 on our page.
3. How to find GCD of 565, 924, 42, 755 on a calculator?
You can find the GCD of 565, 924, 42, 755 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.