Online GCD Calculator is useful to find the GCD of 600, 540, 492, 624 quickly. Get the easiest ways to solve the greatest common divisor of 600, 540, 492, 624 i.e 12 in different methods as follows.
Given Input numbers are 600, 540, 492, 624
In the factoring method, we have to find the divisors of all numbers
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 540 :
The positive integer divisors of 540 that completely divides 540 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 492 :
The positive integer divisors of 492 that completely divides 492 are.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Divisors of 624 :
The positive integer divisors of 624 that completely divides 624 are.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
GCD of numbers is the greatest common divisor
So, the GCD (600, 540, 492, 624) = 12.
Given numbers are 600, 540, 492, 624
The list of prime factors of all numbers are
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5
Prime factors of 492 are 2 x 2 x 3 x 41
Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13
The highest common occurrence is 22 x 31
Therefore, GCD of 600, 540, 492, 624 is 12.
Given numbers are 600, 540, 492, 624
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(600, 540) = 5400
GCD(600, 540) = ( 600 x 540 ) / 5400
= 600 / 540
= 600
Step2:
LCM(60, 492) = 2460
GCD(60, 492) = ( 60 x 492 ) / 2460
= 60 / 492
= 60
Step3:
LCM(12, 624) = 624
GCD(12, 624) = ( 12 x 624 ) / 624
= 12 / 624
= 12
So, Greatest Common Divisor of 600, 540, 492, 624 is 12
Here are some samples of GCD of Numbers calculations.
Given numbers are 600, 540, 492, 624
The greatest common divisor of numbers 600, 540, 492, 624 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 540, 492, 624 is 12.
1. What is the GCD of 600, 540, 492, 624?
GCD of given numbers 600, 540, 492, 624 is 12
2. How to calculate the greatest common divisor of 600, 540, 492, 624?
We can find the highest common divisor of 600, 540, 492, 624 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 600, 540, 492, 624 i.e 12.
3. How can I use the GCD of 600, 540, 492, 624Calculator?
Out the numbers 600, 540, 492, 624 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.