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 83, 520, 572, 545 i.e. 1 largest integer that divides all the numbers equally.
GCD of 83, 520, 572, 545 is 1
GCD(83, 520, 572, 545) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 83, 520, 572, 545 is 1
GCD(83, 520, 572, 545) = 1
Given Input numbers are 83, 520, 572, 545
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Divisors of 520
List of positive integer divisors of 520 that divides 520 without a remainder.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 572
List of positive integer divisors of 572 that divides 572 without a remainder.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
Divisors of 545
List of positive integer divisors of 545 that divides 545 without a remainder.
1, 5, 109, 545
Greatest Common Divisior
We found the divisors of 83, 520, 572, 545 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 520, 572, 545 is 1.
Therefore, GCD of numbers 83, 520, 572, 545 is 1
Given Input Data is 83, 520, 572, 545
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 83 is 83
Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13
Prime Factorization of 572 is 2 x 2 x 11 x 13
Prime Factorization of 545 is 5 x 109
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(83, 520) = 43160
GCD(83, 520) = ( 83 x 520 ) / 43160
GCD(83, 520) = 43160 / 43160
GCD(83, 520) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 572
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 572) = 572
GCD(1, 572) = ( 1 x 572 ) / 572
GCD(1, 572) = 572 / 572
GCD(1, 572) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 545
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 545) = 545
GCD(1, 545) = ( 1 x 545 ) / 545
GCD(1, 545) = 545 / 545
GCD(1, 545) = 1
GCD of 83, 520, 572, 545 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 83, 520, 572, 545?
GCD of 83, 520, 572, 545 is 1
2. Where do I get the detailed procedure to find GCD of 83, 520, 572, 545?
You can find a detailed procedure to find GCD of 83, 520, 572, 545 on our page.
3. How to find GCD of 83, 520, 572, 545 on a calculator?
You can find the GCD of 83, 520, 572, 545 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.