Online GCD Calculator is useful to find the GCD of 572, 560, 292, 600 quickly. Get the easiest ways to solve the greatest common divisor of 572, 560, 292, 600 i.e 4 in different methods as follows.
Given Input numbers are 572, 560, 292, 600
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 560 :
The positive integer divisors of 560 that completely divides 560 are.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 292 :
The positive integer divisors of 292 that completely divides 292 are.
1, 2, 4, 73, 146, 292
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
GCD of numbers is the greatest common divisor
So, the GCD (572, 560, 292, 600) = 4.
Given numbers are 572, 560, 292, 600
The list of prime factors of all numbers are
Prime factors of 572 are 2 x 2 x 11 x 13
Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7
Prime factors of 292 are 2 x 2 x 73
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
The highest common occurrence is 22
Therefore, GCD of 572, 560, 292, 600 is 4.
Given numbers are 572, 560, 292, 600
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(572, 560) = 80080
GCD(572, 560) = ( 572 x 560 ) / 80080
= 572 / 560
= 572
Step2:
LCM(4, 292) = 292
GCD(4, 292) = ( 4 x 292 ) / 292
= 4 / 292
= 4
Step3:
LCM(4, 600) = 600
GCD(4, 600) = ( 4 x 600 ) / 600
= 4 / 600
= 4
So, Greatest Common Divisor of 572, 560, 292, 600 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 572, 560, 292, 600
The greatest common divisor of numbers 572, 560, 292, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 572, 560, 292, 600 is 4.
1. What is the GCD of 572, 560, 292, 600?
GCD of given numbers 572, 560, 292, 600 is 4
2. How to calculate the greatest common divisor of 572, 560, 292, 600?
We can find the highest common divisor of 572, 560, 292, 600 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, 560, 292, 600 i.e 4.
3. How can I use the GCD of 572, 560, 292, 600Calculator?
Out the numbers 572, 560, 292, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.