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 852, 552, 480, 283 i.e. 1 largest integer that divides all the numbers equally.
GCD of 852, 552, 480, 283 is 1
GCD(852, 552, 480, 283) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 852, 552, 480, 283 is 1
GCD(852, 552, 480, 283) = 1
Given Input numbers are 852, 552, 480, 283
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 552
List of positive integer divisors of 552 that divides 552 without a remainder.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 480
List of positive integer divisors of 480 that divides 480 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 283
List of positive integer divisors of 283 that divides 283 without a remainder.
1, 283
Greatest Common Divisior
We found the divisors of 852, 552, 480, 283 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 552, 480, 283 is 1.
Therefore, GCD of numbers 852, 552, 480, 283 is 1
Given Input Data is 852, 552, 480, 283
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 852 is 2 x 2 x 3 x 71
Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 283 is 283
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(852, 552) = 39192
GCD(852, 552) = ( 852 x 552 ) / 39192
GCD(852, 552) = 470304 / 39192
GCD(852, 552) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 480
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 480) = 480
GCD(12, 480) = ( 12 x 480 ) / 480
GCD(12, 480) = 5760 / 480
GCD(12, 480) = 12
Step3:
Here we consider the GCD from the above i.e. 12 as first number and the next as 283
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 283) = 3396
GCD(12, 283) = ( 12 x 283 ) / 3396
GCD(12, 283) = 3396 / 3396
GCD(12, 283) = 1
GCD of 852, 552, 480, 283 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 852, 552, 480, 283?
GCD of 852, 552, 480, 283 is 1
2. Where do I get the detailed procedure to find GCD of 852, 552, 480, 283?
You can find a detailed procedure to find GCD of 852, 552, 480, 283 on our page.
3. How to find GCD of 852, 552, 480, 283 on a calculator?
You can find the GCD of 852, 552, 480, 283 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.