Online GCD Calculator is useful to find the GCD of 408, 598, 732, 144 quickly. Get the easiest ways to solve the greatest common divisor of 408, 598, 732, 144 i.e 2 in different methods as follows.
Given Input numbers are 408, 598, 732, 144
In the factoring method, we have to find the divisors of all numbers
Divisors of 408 :
The positive integer divisors of 408 that completely divides 408 are.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
Divisors of 598 :
The positive integer divisors of 598 that completely divides 598 are.
1, 2, 13, 23, 26, 46, 299, 598
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
GCD of numbers is the greatest common divisor
So, the GCD (408, 598, 732, 144) = 2.
Given numbers are 408, 598, 732, 144
The list of prime factors of all numbers are
Prime factors of 408 are 2 x 2 x 2 x 3 x 17
Prime factors of 598 are 2 x 13 x 23
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 408, 598, 732, 144 is 2.
Given numbers are 408, 598, 732, 144
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(408, 598) = 121992
GCD(408, 598) = ( 408 x 598 ) / 121992
= 408 / 598
= 408
Step2:
LCM(2, 732) = 732
GCD(2, 732) = ( 2 x 732 ) / 732
= 2 / 732
= 2
Step3:
LCM(2, 144) = 144
GCD(2, 144) = ( 2 x 144 ) / 144
= 2 / 144
= 2
So, Greatest Common Divisor of 408, 598, 732, 144 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 408, 598, 732, 144
The greatest common divisor of numbers 408, 598, 732, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 598, 732, 144 is 2.
1. What is the GCD of 408, 598, 732, 144?
GCD of given numbers 408, 598, 732, 144 is 2
2. How to calculate the greatest common divisor of 408, 598, 732, 144?
We can find the highest common divisor of 408, 598, 732, 144 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 408, 598, 732, 144 i.e 2.
3. How can I use the GCD of 408, 598, 732, 144Calculator?
Out the numbers 408, 598, 732, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.