Online GCD Calculator is useful to find the GCD of 400, 306, 570, 167 quickly. Get the easiest ways to solve the greatest common divisor of 400, 306, 570, 167 i.e 1 in different methods as follows.
Given Input numbers are 400, 306, 570, 167
In the factoring method, we have to find the divisors of all numbers
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 306 :
The positive integer divisors of 306 that completely divides 306 are.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
Divisors of 570 :
The positive integer divisors of 570 that completely divides 570 are.
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
Divisors of 167 :
The positive integer divisors of 167 that completely divides 167 are.
1, 167
GCD of numbers is the greatest common divisor
So, the GCD (400, 306, 570, 167) = 1.
Given numbers are 400, 306, 570, 167
The list of prime factors of all numbers are
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 306 are 2 x 3 x 3 x 17
Prime factors of 570 are 2 x 3 x 5 x 19
Prime factors of 167 are 167
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 400, 306, 570, 167
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(400, 306) = 61200
GCD(400, 306) = ( 400 x 306 ) / 61200
= 400 / 306
= 400
Step2:
LCM(2, 570) = 570
GCD(2, 570) = ( 2 x 570 ) / 570
= 2 / 570
= 2
Step3:
LCM(2, 167) = 334
GCD(2, 167) = ( 2 x 167 ) / 334
= 2 / 167
= 2
So, Greatest Common Divisor of 400, 306, 570, 167 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 400, 306, 570, 167
The greatest common divisor of numbers 400, 306, 570, 167 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 306, 570, 167 is 1.
1. What is the GCD of 400, 306, 570, 167?
GCD of given numbers 400, 306, 570, 167 is 1
2. How to calculate the greatest common divisor of 400, 306, 570, 167?
We can find the highest common divisor of 400, 306, 570, 167 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 400, 306, 570, 167 i.e 1.
3. How can I use the GCD of 400, 306, 570, 167Calculator?
Out the numbers 400, 306, 570, 167 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.