Online GCD Calculator is useful to find the GCD of 240, 756, 687, 204 quickly. Get the easiest ways to solve the greatest common divisor of 240, 756, 687, 204 i.e 3 in different methods as follows.
Given Input numbers are 240, 756, 687, 204
In the factoring method, we have to find the divisors of all numbers
Divisors of 240 :
The positive integer divisors of 240 that completely divides 240 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
Divisors of 204 :
The positive integer divisors of 204 that completely divides 204 are.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
GCD of numbers is the greatest common divisor
So, the GCD (240, 756, 687, 204) = 3.
Given numbers are 240, 756, 687, 204
The list of prime factors of all numbers are
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 687 are 3 x 229
Prime factors of 204 are 2 x 2 x 3 x 17
The highest common occurrence is 31
Therefore, GCD of 240, 756, 687, 204 is 3.
Given numbers are 240, 756, 687, 204
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(240, 756) = 15120
GCD(240, 756) = ( 240 x 756 ) / 15120
= 240 / 756
= 240
Step2:
LCM(12, 687) = 2748
GCD(12, 687) = ( 12 x 687 ) / 2748
= 12 / 687
= 12
Step3:
LCM(3, 204) = 204
GCD(3, 204) = ( 3 x 204 ) / 204
= 3 / 204
= 3
So, Greatest Common Divisor of 240, 756, 687, 204 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 240, 756, 687, 204
The greatest common divisor of numbers 240, 756, 687, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 756, 687, 204 is 3.
1. What is the GCD of 240, 756, 687, 204?
GCD of given numbers 240, 756, 687, 204 is 3
2. How to calculate the greatest common divisor of 240, 756, 687, 204?
We can find the highest common divisor of 240, 756, 687, 204 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 240, 756, 687, 204 i.e 3.
3. How can I use the GCD of 240, 756, 687, 204Calculator?
Out the numbers 240, 756, 687, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.