Online GCD Calculator is useful to find the GCD of 200, 207, 150, 101 quickly. Get the easiest ways to solve the greatest common divisor of 200, 207, 150, 101 i.e 1 in different methods as follows.
Given Input numbers are 200, 207, 150, 101
In the factoring method, we have to find the divisors of all numbers
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 207 :
The positive integer divisors of 207 that completely divides 207 are.
1, 3, 9, 23, 69, 207
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 101 :
The positive integer divisors of 101 that completely divides 101 are.
1, 101
GCD of numbers is the greatest common divisor
So, the GCD (200, 207, 150, 101) = 1.
Given numbers are 200, 207, 150, 101
The list of prime factors of all numbers are
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 207 are 3 x 3 x 23
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 101 are 101
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 200, 207, 150, 101
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(200, 207) = 41400
GCD(200, 207) = ( 200 x 207 ) / 41400
= 200 / 207
= 200
Step2:
LCM(1, 150) = 150
GCD(1, 150) = ( 1 x 150 ) / 150
= 1 / 150
= 1
Step3:
LCM(1, 101) = 101
GCD(1, 101) = ( 1 x 101 ) / 101
= 1 / 101
= 1
So, Greatest Common Divisor of 200, 207, 150, 101 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 200, 207, 150, 101
The greatest common divisor of numbers 200, 207, 150, 101 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 207, 150, 101 is 1.
1. What is the GCD of 200, 207, 150, 101?
GCD of given numbers 200, 207, 150, 101 is 1
2. How to calculate the greatest common divisor of 200, 207, 150, 101?
We can find the highest common divisor of 200, 207, 150, 101 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 200, 207, 150, 101 i.e 1.
3. How can I use the GCD of 200, 207, 150, 101Calculator?
Out the numbers 200, 207, 150, 101 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.