Online GCD Calculator is useful to find the GCD of 135, 687, 660, 408 quickly. Get the easiest ways to solve the greatest common divisor of 135, 687, 660, 408 i.e 3 in different methods as follows.
Given Input numbers are 135, 687, 660, 408
In the factoring method, we have to find the divisors of all numbers
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
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
GCD of numbers is the greatest common divisor
So, the GCD (135, 687, 660, 408) = 3.
Given numbers are 135, 687, 660, 408
The list of prime factors of all numbers are
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 687 are 3 x 229
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 408 are 2 x 2 x 2 x 3 x 17
The highest common occurrence is 31
Therefore, GCD of 135, 687, 660, 408 is 3.
Given numbers are 135, 687, 660, 408
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(135, 687) = 30915
GCD(135, 687) = ( 135 x 687 ) / 30915
= 135 / 687
= 135
Step2:
LCM(3, 660) = 660
GCD(3, 660) = ( 3 x 660 ) / 660
= 3 / 660
= 3
Step3:
LCM(3, 408) = 408
GCD(3, 408) = ( 3 x 408 ) / 408
= 3 / 408
= 3
So, Greatest Common Divisor of 135, 687, 660, 408 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 135, 687, 660, 408
The greatest common divisor of numbers 135, 687, 660, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 687, 660, 408 is 3.
1. What is the GCD of 135, 687, 660, 408?
GCD of given numbers 135, 687, 660, 408 is 3
2. How to calculate the greatest common divisor of 135, 687, 660, 408?
We can find the highest common divisor of 135, 687, 660, 408 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 135, 687, 660, 408 i.e 3.
3. How can I use the GCD of 135, 687, 660, 408Calculator?
Out the numbers 135, 687, 660, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.