Online GCD Calculator is useful to find the GCD of 150, 420, 857, 219 quickly. Get the easiest ways to solve the greatest common divisor of 150, 420, 857, 219 i.e 1 in different methods as follows.
Given Input numbers are 150, 420, 857, 219
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 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 857 :
The positive integer divisors of 857 that completely divides 857 are.
1, 857
Divisors of 219 :
The positive integer divisors of 219 that completely divides 219 are.
1, 3, 73, 219
GCD of numbers is the greatest common divisor
So, the GCD (150, 420, 857, 219) = 1.
Given numbers are 150, 420, 857, 219
The list of prime factors of all numbers are
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 857 are 857
Prime factors of 219 are 3 x 73
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 150, 420, 857, 219
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(150, 420) = 2100
GCD(150, 420) = ( 150 x 420 ) / 2100
= 150 / 420
= 150
Step2:
LCM(30, 857) = 25710
GCD(30, 857) = ( 30 x 857 ) / 25710
= 30 / 857
= 30
Step3:
LCM(1, 219) = 219
GCD(1, 219) = ( 1 x 219 ) / 219
= 1 / 219
= 1
So, Greatest Common Divisor of 150, 420, 857, 219 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 150, 420, 857, 219
The greatest common divisor of numbers 150, 420, 857, 219 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 420, 857, 219 is 1.
1. What is the GCD of 150, 420, 857, 219?
GCD of given numbers 150, 420, 857, 219 is 1
2. How to calculate the greatest common divisor of 150, 420, 857, 219?
We can find the highest common divisor of 150, 420, 857, 219 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, 420, 857, 219 i.e 1.
3. How can I use the GCD of 150, 420, 857, 219Calculator?
Out the numbers 150, 420, 857, 219 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.