Online GCD Calculator is useful to find the GCD of 152, 107, 200, 150 quickly. Get the easiest ways to solve the greatest common divisor of 152, 107, 200, 150 i.e 1 in different methods as follows.
Given Input numbers are 152, 107, 200, 150
In the factoring method, we have to find the divisors of all numbers
Divisors of 152 :
The positive integer divisors of 152 that completely divides 152 are.
1, 2, 4, 8, 19, 38, 76, 152
Divisors of 107 :
The positive integer divisors of 107 that completely divides 107 are.
1, 107
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
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
GCD of numbers is the greatest common divisor
So, the GCD (152, 107, 200, 150) = 1.
Given numbers are 152, 107, 200, 150
The list of prime factors of all numbers are
Prime factors of 152 are 2 x 2 x 2 x 19
Prime factors of 107 are 107
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 150 are 2 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 152, 107, 200, 150
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(152, 107) = 16264
GCD(152, 107) = ( 152 x 107 ) / 16264
= 152 / 107
= 152
Step2:
LCM(1, 200) = 200
GCD(1, 200) = ( 1 x 200 ) / 200
= 1 / 200
= 1
Step3:
LCM(1, 150) = 150
GCD(1, 150) = ( 1 x 150 ) / 150
= 1 / 150
= 1
So, Greatest Common Divisor of 152, 107, 200, 150 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 152, 107, 200, 150
The greatest common divisor of numbers 152, 107, 200, 150 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 152, 107, 200, 150 is 1.
1. What is the GCD of 152, 107, 200, 150?
GCD of given numbers 152, 107, 200, 150 is 1
2. How to calculate the greatest common divisor of 152, 107, 200, 150?
We can find the highest common divisor of 152, 107, 200, 150 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 152, 107, 200, 150 i.e 1.
3. How can I use the GCD of 152, 107, 200, 150Calculator?
Out the numbers 152, 107, 200, 150 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.