Online GCD Calculator is useful to find the GCD of 180, 428, 544, 958 quickly. Get the easiest ways to solve the greatest common divisor of 180, 428, 544, 958 i.e 2 in different methods as follows.
Given Input numbers are 180, 428, 544, 958
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 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
Divisors of 544 :
The positive integer divisors of 544 that completely divides 544 are.
1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
Divisors of 958 :
The positive integer divisors of 958 that completely divides 958 are.
1, 2, 479, 958
GCD of numbers is the greatest common divisor
So, the GCD (180, 428, 544, 958) = 2.
Given numbers are 180, 428, 544, 958
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 428 are 2 x 2 x 107
Prime factors of 544 are 2 x 2 x 2 x 2 x 2 x 17
Prime factors of 958 are 2 x 479
The highest common occurrence is 21
Therefore, GCD of 180, 428, 544, 958 is 2.
Given numbers are 180, 428, 544, 958
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 428) = 19260
GCD(180, 428) = ( 180 x 428 ) / 19260
= 180 / 428
= 180
Step2:
LCM(4, 544) = 544
GCD(4, 544) = ( 4 x 544 ) / 544
= 4 / 544
= 4
Step3:
LCM(4, 958) = 1916
GCD(4, 958) = ( 4 x 958 ) / 1916
= 4 / 958
= 4
So, Greatest Common Divisor of 180, 428, 544, 958 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 180, 428, 544, 958
The greatest common divisor of numbers 180, 428, 544, 958 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 428, 544, 958 is 2.
1. What is the GCD of 180, 428, 544, 958?
GCD of given numbers 180, 428, 544, 958 is 2
2. How to calculate the greatest common divisor of 180, 428, 544, 958?
We can find the highest common divisor of 180, 428, 544, 958 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, 428, 544, 958 i.e 2.
3. How can I use the GCD of 180, 428, 544, 958Calculator?
Out the numbers 180, 428, 544, 958 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.