Online GCD Calculator is useful to find the GCD of 966, 311, 302, 820 quickly. Get the easiest ways to solve the greatest common divisor of 966, 311, 302, 820 i.e 1 in different methods as follows.
Given Input numbers are 966, 311, 302, 820
In the factoring method, we have to find the divisors of all numbers
Divisors of 966 :
The positive integer divisors of 966 that completely divides 966 are.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 311 :
The positive integer divisors of 311 that completely divides 311 are.
1, 311
Divisors of 302 :
The positive integer divisors of 302 that completely divides 302 are.
1, 2, 151, 302
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
GCD of numbers is the greatest common divisor
So, the GCD (966, 311, 302, 820) = 1.
Given numbers are 966, 311, 302, 820
The list of prime factors of all numbers are
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 311 are 311
Prime factors of 302 are 2 x 151
Prime factors of 820 are 2 x 2 x 5 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 966, 311, 302, 820
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(966, 311) = 300426
GCD(966, 311) = ( 966 x 311 ) / 300426
= 966 / 311
= 966
Step2:
LCM(1, 302) = 302
GCD(1, 302) = ( 1 x 302 ) / 302
= 1 / 302
= 1
Step3:
LCM(1, 820) = 820
GCD(1, 820) = ( 1 x 820 ) / 820
= 1 / 820
= 1
So, Greatest Common Divisor of 966, 311, 302, 820 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 966, 311, 302, 820
The greatest common divisor of numbers 966, 311, 302, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 311, 302, 820 is 1.
1. What is the GCD of 966, 311, 302, 820?
GCD of given numbers 966, 311, 302, 820 is 1
2. How to calculate the greatest common divisor of 966, 311, 302, 820?
We can find the highest common divisor of 966, 311, 302, 820 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 966, 311, 302, 820 i.e 1.
3. How can I use the GCD of 966, 311, 302, 820Calculator?
Out the numbers 966, 311, 302, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.