Online GCD Calculator is useful to find the GCD of 150, 292, 592, 612 quickly. Get the easiest ways to solve the greatest common divisor of 150, 292, 592, 612 i.e 2 in different methods as follows.
Given Input numbers are 150, 292, 592, 612
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 292 :
The positive integer divisors of 292 that completely divides 292 are.
1, 2, 4, 73, 146, 292
Divisors of 592 :
The positive integer divisors of 592 that completely divides 592 are.
1, 2, 4, 8, 16, 37, 74, 148, 296, 592
Divisors of 612 :
The positive integer divisors of 612 that completely divides 612 are.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
GCD of numbers is the greatest common divisor
So, the GCD (150, 292, 592, 612) = 2.
Given numbers are 150, 292, 592, 612
The list of prime factors of all numbers are
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 292 are 2 x 2 x 73
Prime factors of 592 are 2 x 2 x 2 x 2 x 37
Prime factors of 612 are 2 x 2 x 3 x 3 x 17
The highest common occurrence is 21
Therefore, GCD of 150, 292, 592, 612 is 2.
Given numbers are 150, 292, 592, 612
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(150, 292) = 21900
GCD(150, 292) = ( 150 x 292 ) / 21900
= 150 / 292
= 150
Step2:
LCM(2, 592) = 592
GCD(2, 592) = ( 2 x 592 ) / 592
= 2 / 592
= 2
Step3:
LCM(2, 612) = 612
GCD(2, 612) = ( 2 x 612 ) / 612
= 2 / 612
= 2
So, Greatest Common Divisor of 150, 292, 592, 612 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 150, 292, 592, 612
The greatest common divisor of numbers 150, 292, 592, 612 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 292, 592, 612 is 2.
1. What is the GCD of 150, 292, 592, 612?
GCD of given numbers 150, 292, 592, 612 is 2
2. How to calculate the greatest common divisor of 150, 292, 592, 612?
We can find the highest common divisor of 150, 292, 592, 612 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, 292, 592, 612 i.e 2.
3. How can I use the GCD of 150, 292, 592, 612Calculator?
Out the numbers 150, 292, 592, 612 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.