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 755, 264, 92, 442 i.e. 1 largest integer that divides all the numbers equally.
GCD of 755, 264, 92, 442 is 1
GCD(755, 264, 92, 442) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 755, 264, 92, 442 is 1
GCD(755, 264, 92, 442) = 1
Given Input numbers are 755, 264, 92, 442
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 755
List of positive integer divisors of 755 that divides 755 without a remainder.
1, 5, 151, 755
Divisors of 264
List of positive integer divisors of 264 that divides 264 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Divisors of 92
List of positive integer divisors of 92 that divides 92 without a remainder.
1, 2, 4, 23, 46, 92
Divisors of 442
List of positive integer divisors of 442 that divides 442 without a remainder.
1, 2, 13, 17, 26, 34, 221, 442
Greatest Common Divisior
We found the divisors of 755, 264, 92, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 755, 264, 92, 442 is 1.
Therefore, GCD of numbers 755, 264, 92, 442 is 1
Given Input Data is 755, 264, 92, 442
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 755 is 5 x 151
Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11
Prime Factorization of 92 is 2 x 2 x 23
Prime Factorization of 442 is 2 x 13 x 17
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(755, 264) = 199320
GCD(755, 264) = ( 755 x 264 ) / 199320
GCD(755, 264) = 199320 / 199320
GCD(755, 264) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 92
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 92) = 92
GCD(1, 92) = ( 1 x 92 ) / 92
GCD(1, 92) = 92 / 92
GCD(1, 92) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 442
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 442) = 442
GCD(1, 442) = ( 1 x 442 ) / 442
GCD(1, 442) = 442 / 442
GCD(1, 442) = 1
GCD of 755, 264, 92, 442 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 755, 264, 92, 442?
GCD of 755, 264, 92, 442 is 1
2. Where do I get the detailed procedure to find GCD of 755, 264, 92, 442?
You can find a detailed procedure to find GCD of 755, 264, 92, 442 on our page.
3. How to find GCD of 755, 264, 92, 442 on a calculator?
You can find the GCD of 755, 264, 92, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.