Online GCD Calculator is useful to find the GCD of 356, 832, 542, 180 quickly. Get the easiest ways to solve the greatest common divisor of 356, 832, 542, 180 i.e 2 in different methods as follows.
Given Input numbers are 356, 832, 542, 180
In the factoring method, we have to find the divisors of all numbers
Divisors of 356 :
The positive integer divisors of 356 that completely divides 356 are.
1, 2, 4, 89, 178, 356
Divisors of 832 :
The positive integer divisors of 832 that completely divides 832 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
Divisors of 542 :
The positive integer divisors of 542 that completely divides 542 are.
1, 2, 271, 542
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
GCD of numbers is the greatest common divisor
So, the GCD (356, 832, 542, 180) = 2.
Given numbers are 356, 832, 542, 180
The list of prime factors of all numbers are
Prime factors of 356 are 2 x 2 x 89
Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13
Prime factors of 542 are 2 x 271
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 356, 832, 542, 180 is 2.
Given numbers are 356, 832, 542, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(356, 832) = 74048
GCD(356, 832) = ( 356 x 832 ) / 74048
= 356 / 832
= 356
Step2:
LCM(4, 542) = 1084
GCD(4, 542) = ( 4 x 542 ) / 1084
= 4 / 542
= 4
Step3:
LCM(2, 180) = 180
GCD(2, 180) = ( 2 x 180 ) / 180
= 2 / 180
= 2
So, Greatest Common Divisor of 356, 832, 542, 180 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 356, 832, 542, 180
The greatest common divisor of numbers 356, 832, 542, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 356, 832, 542, 180 is 2.
1. What is the GCD of 356, 832, 542, 180?
GCD of given numbers 356, 832, 542, 180 is 2
2. How to calculate the greatest common divisor of 356, 832, 542, 180?
We can find the highest common divisor of 356, 832, 542, 180 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 356, 832, 542, 180 i.e 2.
3. How can I use the GCD of 356, 832, 542, 180Calculator?
Out the numbers 356, 832, 542, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.