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 655, 553, 96, 852 i.e. 1 largest integer that divides all the numbers equally.
GCD of 655, 553, 96, 852 is 1
GCD(655, 553, 96, 852) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 655, 553, 96, 852 is 1
GCD(655, 553, 96, 852) = 1
Given Input numbers are 655, 553, 96, 852
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 655
List of positive integer divisors of 655 that divides 655 without a remainder.
1, 5, 131, 655
Divisors of 553
List of positive integer divisors of 553 that divides 553 without a remainder.
1, 7, 79, 553
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Greatest Common Divisior
We found the divisors of 655, 553, 96, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 655, 553, 96, 852 is 1.
Therefore, GCD of numbers 655, 553, 96, 852 is 1
Given Input Data is 655, 553, 96, 852
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 655 is 5 x 131
Prime Factorization of 553 is 7 x 79
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 852 is 2 x 2 x 3 x 71
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(655, 553) = 362215
GCD(655, 553) = ( 655 x 553 ) / 362215
GCD(655, 553) = 362215 / 362215
GCD(655, 553) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 96) = 96
GCD(1, 96) = ( 1 x 96 ) / 96
GCD(1, 96) = 96 / 96
GCD(1, 96) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 852
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 852) = 852
GCD(1, 852) = ( 1 x 852 ) / 852
GCD(1, 852) = 852 / 852
GCD(1, 852) = 1
GCD of 655, 553, 96, 852 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 655, 553, 96, 852?
GCD of 655, 553, 96, 852 is 1
2. Where do I get the detailed procedure to find GCD of 655, 553, 96, 852?
You can find a detailed procedure to find GCD of 655, 553, 96, 852 on our page.
3. How to find GCD of 655, 553, 96, 852 on a calculator?
You can find the GCD of 655, 553, 96, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.