Online GCD Calculator is useful to find the GCD of 150, 215, 892, 117 quickly. Get the easiest ways to solve the greatest common divisor of 150, 215, 892, 117 i.e 1 in different methods as follows.
Given Input numbers are 150, 215, 892, 117
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 215 :
The positive integer divisors of 215 that completely divides 215 are.
1, 5, 43, 215
Divisors of 892 :
The positive integer divisors of 892 that completely divides 892 are.
1, 2, 4, 223, 446, 892
Divisors of 117 :
The positive integer divisors of 117 that completely divides 117 are.
1, 3, 9, 13, 39, 117
GCD of numbers is the greatest common divisor
So, the GCD (150, 215, 892, 117) = 1.
Given numbers are 150, 215, 892, 117
The list of prime factors of all numbers are
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 215 are 5 x 43
Prime factors of 892 are 2 x 2 x 223
Prime factors of 117 are 3 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 150, 215, 892, 117
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(150, 215) = 6450
GCD(150, 215) = ( 150 x 215 ) / 6450
= 150 / 215
= 150
Step2:
LCM(5, 892) = 4460
GCD(5, 892) = ( 5 x 892 ) / 4460
= 5 / 892
= 5
Step3:
LCM(1, 117) = 117
GCD(1, 117) = ( 1 x 117 ) / 117
= 1 / 117
= 1
So, Greatest Common Divisor of 150, 215, 892, 117 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 150, 215, 892, 117
The greatest common divisor of numbers 150, 215, 892, 117 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 215, 892, 117 is 1.
1. What is the GCD of 150, 215, 892, 117?
GCD of given numbers 150, 215, 892, 117 is 1
2. How to calculate the greatest common divisor of 150, 215, 892, 117?
We can find the highest common divisor of 150, 215, 892, 117 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, 215, 892, 117 i.e 1.
3. How can I use the GCD of 150, 215, 892, 117Calculator?
Out the numbers 150, 215, 892, 117 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.