GCD of 572, 308, 561 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 572, 308, 561 quickly. Get the easiest ways to solve the greatest common divisor of 572, 308, 561 i.e 11 in different methods as follows.
Given Input numbers are 572, 308, 561
In the factoring method, we have to find the divisors of all numbers
Divisors of 572 :
The positive integer divisors of 572 that completely divides 572 are.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 561 :
The positive integer divisors of 561 that completely divides 561 are.
1, 3, 11, 17, 33, 51, 187, 561
GCD of numbers is the greatest common divisor
So, the GCD (572, 308, 561) = 11.
Given numbers are 572, 308, 561
The list of prime factors of all numbers are
Prime factors of 572 are 2 x 2 x 11 x 13
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 561 are 3 x 11 x 17
The highest common occurrence is 111
Therefore, GCD of 572, 308, 561 is 11.
Steps to Calculate GCD of 572, 308, 561 using LCM Formula
Given numbers are 572, 308, 561
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(572, 308) = 4004
GCD(572, 308) = ( 572 x 308 ) / 4004
= 572 / 308
= 572
Step2:
LCM(44, 561) = 2244
GCD(44, 561) = ( 44 x 561 ) / 2244
= 44 / 561
= 44
So, Greatest Common Divisor of 572, 308, 561 is 11
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 572, 308, 561
Given numbers are 572, 308, 561
The greatest common divisor of numbers 572, 308, 561 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 572, 308, 561 is 11.
FAQs on GCD of 572, 308, 561 Calculator
1. What is the GCD of 572, 308, 561?
GCD of given numbers 572, 308, 561 is 11
2. How to calculate the greatest common divisor of 572, 308, 561?
We can find the highest common divisor of 572, 308, 561 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 572, 308, 561 i.e 11.
3. How can I use the GCD of 572, 308, 561Calculator?
Out the numbers 572, 308, 561 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.