Online GCD Calculator is useful to find the GCD of 280, 180, 576, 608 quickly. Get the easiest ways to solve the greatest common divisor of 280, 180, 576, 608 i.e 4 in different methods as follows.
Given Input numbers are 280, 180, 576, 608
In the factoring method, we have to find the divisors of all numbers
Divisors of 280 :
The positive integer divisors of 280 that completely divides 280 are.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 576 :
The positive integer divisors of 576 that completely divides 576 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Divisors of 608 :
The positive integer divisors of 608 that completely divides 608 are.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
GCD of numbers is the greatest common divisor
So, the GCD (280, 180, 576, 608) = 4.
Given numbers are 280, 180, 576, 608
The list of prime factors of all numbers are
Prime factors of 280 are 2 x 2 x 2 x 5 x 7
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19
The highest common occurrence is 22
Therefore, GCD of 280, 180, 576, 608 is 4.
Given numbers are 280, 180, 576, 608
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(280, 180) = 2520
GCD(280, 180) = ( 280 x 180 ) / 2520
= 280 / 180
= 280
Step2:
LCM(20, 576) = 2880
GCD(20, 576) = ( 20 x 576 ) / 2880
= 20 / 576
= 20
Step3:
LCM(4, 608) = 608
GCD(4, 608) = ( 4 x 608 ) / 608
= 4 / 608
= 4
So, Greatest Common Divisor of 280, 180, 576, 608 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 280, 180, 576, 608
The greatest common divisor of numbers 280, 180, 576, 608 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 280, 180, 576, 608 is 4.
1. What is the GCD of 280, 180, 576, 608?
GCD of given numbers 280, 180, 576, 608 is 4
2. How to calculate the greatest common divisor of 280, 180, 576, 608?
We can find the highest common divisor of 280, 180, 576, 608 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 280, 180, 576, 608 i.e 4.
3. How can I use the GCD of 280, 180, 576, 608Calculator?
Out the numbers 280, 180, 576, 608 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.