Online GCD Calculator is useful to find the GCD of 564, 142, 320 quickly. Get the easiest ways to solve the greatest common divisor of 564, 142, 320 i.e 2 in different methods as follows.
Given Input numbers are 564, 142, 320
In the factoring method, we have to find the divisors of all numbers
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
GCD of numbers is the greatest common divisor
So, the GCD (564, 142, 320) = 2.
Given numbers are 564, 142, 320
The list of prime factors of all numbers are
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 142 are 2 x 71
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
The highest common occurrence is 21
Therefore, GCD of 564, 142, 320 is 2.
Given numbers are 564, 142, 320
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(564, 142) = 40044
GCD(564, 142) = ( 564 x 142 ) / 40044
= 564 / 142
= 564
Step2:
LCM(2, 320) = 320
GCD(2, 320) = ( 2 x 320 ) / 320
= 2 / 320
= 2
So, Greatest Common Divisor of 564, 142, 320 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 564, 142, 320
The greatest common divisor of numbers 564, 142, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 142, 320 is 2.
1. What is the GCD of 564, 142, 320?
GCD of given numbers 564, 142, 320 is 2
2. How to calculate the greatest common divisor of 564, 142, 320?
We can find the highest common divisor of 564, 142, 320 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 564, 142, 320 i.e 2.
3. How can I use the GCD of 564, 142, 320Calculator?
Out the numbers 564, 142, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.