Online GCD Calculator is useful to find the GCD of 150, 455, 363, 172 quickly. Get the easiest ways to solve the greatest common divisor of 150, 455, 363, 172 i.e 1 in different methods as follows.
Given Input numbers are 150, 455, 363, 172
In the factoring method, we have to find the divisors of all numbers
Divisors of 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 455 :
The positive integer divisors of 455 that completely divides 455 are.
1, 5, 7, 13, 35, 65, 91, 455
Divisors of 363 :
The positive integer divisors of 363 that completely divides 363 are.
1, 3, 11, 33, 121, 363
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
GCD of numbers is the greatest common divisor
So, the GCD (150, 455, 363, 172) = 1.
Given numbers are 150, 455, 363, 172
The list of prime factors of all numbers are
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 455 are 5 x 7 x 13
Prime factors of 363 are 3 x 11 x 11
Prime factors of 172 are 2 x 2 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 150, 455, 363, 172
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(150, 455) = 13650
GCD(150, 455) = ( 150 x 455 ) / 13650
= 150 / 455
= 150
Step2:
LCM(5, 363) = 1815
GCD(5, 363) = ( 5 x 363 ) / 1815
= 5 / 363
= 5
Step3:
LCM(1, 172) = 172
GCD(1, 172) = ( 1 x 172 ) / 172
= 1 / 172
= 1
So, Greatest Common Divisor of 150, 455, 363, 172 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 150, 455, 363, 172
The greatest common divisor of numbers 150, 455, 363, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 455, 363, 172 is 1.
1. What is the GCD of 150, 455, 363, 172?
GCD of given numbers 150, 455, 363, 172 is 1
2. How to calculate the greatest common divisor of 150, 455, 363, 172?
We can find the highest common divisor of 150, 455, 363, 172 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 150, 455, 363, 172 i.e 1.
3. How can I use the GCD of 150, 455, 363, 172Calculator?
Out the numbers 150, 455, 363, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.