Online GCD Calculator is useful to find the GCD of 150, 210, 894, 358 quickly. Get the easiest ways to solve the greatest common divisor of 150, 210, 894, 358 i.e 2 in different methods as follows.
Given Input numbers are 150, 210, 894, 358
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 210 :
The positive integer divisors of 210 that completely divides 210 are.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 894 :
The positive integer divisors of 894 that completely divides 894 are.
1, 2, 3, 6, 149, 298, 447, 894
Divisors of 358 :
The positive integer divisors of 358 that completely divides 358 are.
1, 2, 179, 358
GCD of numbers is the greatest common divisor
So, the GCD (150, 210, 894, 358) = 2.
Given numbers are 150, 210, 894, 358
The list of prime factors of all numbers are
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 210 are 2 x 3 x 5 x 7
Prime factors of 894 are 2 x 3 x 149
Prime factors of 358 are 2 x 179
The highest common occurrence is 21
Therefore, GCD of 150, 210, 894, 358 is 2.
Given numbers are 150, 210, 894, 358
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(150, 210) = 1050
GCD(150, 210) = ( 150 x 210 ) / 1050
= 150 / 210
= 150
Step2:
LCM(30, 894) = 4470
GCD(30, 894) = ( 30 x 894 ) / 4470
= 30 / 894
= 30
Step3:
LCM(6, 358) = 1074
GCD(6, 358) = ( 6 x 358 ) / 1074
= 6 / 358
= 6
So, Greatest Common Divisor of 150, 210, 894, 358 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 150, 210, 894, 358
The greatest common divisor of numbers 150, 210, 894, 358 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 210, 894, 358 is 2.
1. What is the GCD of 150, 210, 894, 358?
GCD of given numbers 150, 210, 894, 358 is 2
2. How to calculate the greatest common divisor of 150, 210, 894, 358?
We can find the highest common divisor of 150, 210, 894, 358 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, 210, 894, 358 i.e 2.
3. How can I use the GCD of 150, 210, 894, 358Calculator?
Out the numbers 150, 210, 894, 358 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.