Online GCD Calculator is useful to find the GCD of 180, 780, 282, 628 quickly. Get the easiest ways to solve the greatest common divisor of 180, 780, 282, 628 i.e 2 in different methods as follows.
Given Input numbers are 180, 780, 282, 628
In the factoring method, we have to find the divisors of all numbers
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 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 282 :
The positive integer divisors of 282 that completely divides 282 are.
1, 2, 3, 6, 47, 94, 141, 282
Divisors of 628 :
The positive integer divisors of 628 that completely divides 628 are.
1, 2, 4, 157, 314, 628
GCD of numbers is the greatest common divisor
So, the GCD (180, 780, 282, 628) = 2.
Given numbers are 180, 780, 282, 628
The list of prime factors of all numbers are
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 282 are 2 x 3 x 47
Prime factors of 628 are 2 x 2 x 157
The highest common occurrence is 21
Therefore, GCD of 180, 780, 282, 628 is 2.
Given numbers are 180, 780, 282, 628
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 780) = 2340
GCD(180, 780) = ( 180 x 780 ) / 2340
= 180 / 780
= 180
Step2:
LCM(60, 282) = 2820
GCD(60, 282) = ( 60 x 282 ) / 2820
= 60 / 282
= 60
Step3:
LCM(6, 628) = 1884
GCD(6, 628) = ( 6 x 628 ) / 1884
= 6 / 628
= 6
So, Greatest Common Divisor of 180, 780, 282, 628 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 180, 780, 282, 628
The greatest common divisor of numbers 180, 780, 282, 628 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 780, 282, 628 is 2.
1. What is the GCD of 180, 780, 282, 628?
GCD of given numbers 180, 780, 282, 628 is 2
2. How to calculate the greatest common divisor of 180, 780, 282, 628?
We can find the highest common divisor of 180, 780, 282, 628 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 180, 780, 282, 628 i.e 2.
3. How can I use the GCD of 180, 780, 282, 628Calculator?
Out the numbers 180, 780, 282, 628 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.