Online GCD Calculator is useful to find the GCD of 962, 412, 902, 180 quickly. Get the easiest ways to solve the greatest common divisor of 962, 412, 902, 180 i.e 2 in different methods as follows.
Given Input numbers are 962, 412, 902, 180
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 412 :
The positive integer divisors of 412 that completely divides 412 are.
1, 2, 4, 103, 206, 412
Divisors of 902 :
The positive integer divisors of 902 that completely divides 902 are.
1, 2, 11, 22, 41, 82, 451, 902
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 (962, 412, 902, 180) = 2.
Given numbers are 962, 412, 902, 180
The list of prime factors of all numbers are
Prime factors of 962 are 2 x 13 x 37
Prime factors of 412 are 2 x 2 x 103
Prime factors of 902 are 2 x 11 x 41
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 962, 412, 902, 180 is 2.
Given numbers are 962, 412, 902, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(962, 412) = 198172
GCD(962, 412) = ( 962 x 412 ) / 198172
= 962 / 412
= 962
Step2:
LCM(2, 902) = 902
GCD(2, 902) = ( 2 x 902 ) / 902
= 2 / 902
= 2
Step3:
LCM(2, 180) = 180
GCD(2, 180) = ( 2 x 180 ) / 180
= 2 / 180
= 2
So, Greatest Common Divisor of 962, 412, 902, 180 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 962, 412, 902, 180
The greatest common divisor of numbers 962, 412, 902, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 962, 412, 902, 180 is 2.
1. What is the GCD of 962, 412, 902, 180?
GCD of given numbers 962, 412, 902, 180 is 2
2. How to calculate the greatest common divisor of 962, 412, 902, 180?
We can find the highest common divisor of 962, 412, 902, 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 962, 412, 902, 180 i.e 2.
3. How can I use the GCD of 962, 412, 902, 180Calculator?
Out the numbers 962, 412, 902, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.