Online GCD Calculator is useful to find the GCD of 962, 360, 180, 206 quickly. Get the easiest ways to solve the greatest common divisor of 962, 360, 180, 206 i.e 2 in different methods as follows.
Given Input numbers are 962, 360, 180, 206
In the factoring method, we have to find the divisors of all numbers
Divisors of 962 :
The positive integer divisors of 962 that completely divides 962 are.
1, 2, 13, 26, 37, 74, 481, 962
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
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 206 :
The positive integer divisors of 206 that completely divides 206 are.
1, 2, 103, 206
GCD of numbers is the greatest common divisor
So, the GCD (962, 360, 180, 206) = 2.
Given numbers are 962, 360, 180, 206
The list of prime factors of all numbers are
Prime factors of 962 are 2 x 13 x 37
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 206 are 2 x 103
The highest common occurrence is 21
Therefore, GCD of 962, 360, 180, 206 is 2.
Given numbers are 962, 360, 180, 206
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(962, 360) = 173160
GCD(962, 360) = ( 962 x 360 ) / 173160
= 962 / 360
= 962
Step2:
LCM(2, 180) = 180
GCD(2, 180) = ( 2 x 180 ) / 180
= 2 / 180
= 2
Step3:
LCM(2, 206) = 206
GCD(2, 206) = ( 2 x 206 ) / 206
= 2 / 206
= 2
So, Greatest Common Divisor of 962, 360, 180, 206 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 962, 360, 180, 206
The greatest common divisor of numbers 962, 360, 180, 206 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 962, 360, 180, 206 is 2.
1. What is the GCD of 962, 360, 180, 206?
GCD of given numbers 962, 360, 180, 206 is 2
2. How to calculate the greatest common divisor of 962, 360, 180, 206?
We can find the highest common divisor of 962, 360, 180, 206 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 962, 360, 180, 206 i.e 2.
3. How can I use the GCD of 962, 360, 180, 206Calculator?
Out the numbers 962, 360, 180, 206 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.