Online GCD Calculator is useful to find the GCD of 400, 509, 164, 154 quickly. Get the easiest ways to solve the greatest common divisor of 400, 509, 164, 154 i.e 1 in different methods as follows.
Given Input numbers are 400, 509, 164, 154
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 509 :
The positive integer divisors of 509 that completely divides 509 are.
1, 509
Divisors of 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
Divisors of 154 :
The positive integer divisors of 154 that completely divides 154 are.
1, 2, 7, 11, 14, 22, 77, 154
GCD of numbers is the greatest common divisor
So, the GCD (400, 509, 164, 154) = 1.
Given numbers are 400, 509, 164, 154
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 509 are 509
Prime factors of 164 are 2 x 2 x 41
Prime factors of 154 are 2 x 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 400, 509, 164, 154
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(400, 509) = 203600
GCD(400, 509) = ( 400 x 509 ) / 203600
= 400 / 509
= 400
Step2:
LCM(1, 164) = 164
GCD(1, 164) = ( 1 x 164 ) / 164
= 1 / 164
= 1
Step3:
LCM(1, 154) = 154
GCD(1, 154) = ( 1 x 154 ) / 154
= 1 / 154
= 1
So, Greatest Common Divisor of 400, 509, 164, 154 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 400, 509, 164, 154
The greatest common divisor of numbers 400, 509, 164, 154 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 509, 164, 154 is 1.
1. What is the GCD of 400, 509, 164, 154?
GCD of given numbers 400, 509, 164, 154 is 1
2. How to calculate the greatest common divisor of 400, 509, 164, 154?
We can find the highest common divisor of 400, 509, 164, 154 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, 509, 164, 154 i.e 1.
3. How can I use the GCD of 400, 509, 164, 154Calculator?
Out the numbers 400, 509, 164, 154 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.