Online GCD Calculator is useful to find the GCD of 150, 705, 645, 234 quickly. Get the easiest ways to solve the greatest common divisor of 150, 705, 645, 234 i.e 3 in different methods as follows.
Given Input numbers are 150, 705, 645, 234
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 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 645 :
The positive integer divisors of 645 that completely divides 645 are.
1, 3, 5, 15, 43, 129, 215, 645
Divisors of 234 :
The positive integer divisors of 234 that completely divides 234 are.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
GCD of numbers is the greatest common divisor
So, the GCD (150, 705, 645, 234) = 3.
Given numbers are 150, 705, 645, 234
The list of prime factors of all numbers are
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 705 are 3 x 5 x 47
Prime factors of 645 are 3 x 5 x 43
Prime factors of 234 are 2 x 3 x 3 x 13
The highest common occurrence is 31
Therefore, GCD of 150, 705, 645, 234 is 3.
Given numbers are 150, 705, 645, 234
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(150, 705) = 7050
GCD(150, 705) = ( 150 x 705 ) / 7050
= 150 / 705
= 150
Step2:
LCM(15, 645) = 645
GCD(15, 645) = ( 15 x 645 ) / 645
= 15 / 645
= 15
Step3:
LCM(15, 234) = 1170
GCD(15, 234) = ( 15 x 234 ) / 1170
= 15 / 234
= 15
So, Greatest Common Divisor of 150, 705, 645, 234 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 150, 705, 645, 234
The greatest common divisor of numbers 150, 705, 645, 234 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 705, 645, 234 is 3.
1. What is the GCD of 150, 705, 645, 234?
GCD of given numbers 150, 705, 645, 234 is 3
2. How to calculate the greatest common divisor of 150, 705, 645, 234?
We can find the highest common divisor of 150, 705, 645, 234 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, 705, 645, 234 i.e 3.
3. How can I use the GCD of 150, 705, 645, 234Calculator?
Out the numbers 150, 705, 645, 234 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.