Online GCD Calculator is useful to find the GCD of 135, 432, 610, 416 quickly. Get the easiest ways to solve the greatest common divisor of 135, 432, 610, 416 i.e 1 in different methods as follows.
Given Input numbers are 135, 432, 610, 416
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 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 610 :
The positive integer divisors of 610 that completely divides 610 are.
1, 2, 5, 10, 61, 122, 305, 610
Divisors of 416 :
The positive integer divisors of 416 that completely divides 416 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
GCD of numbers is the greatest common divisor
So, the GCD (135, 432, 610, 416) = 1.
Given numbers are 135, 432, 610, 416
The list of prime factors of all numbers are
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 610 are 2 x 5 x 61
Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 135, 432, 610, 416
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(135, 432) = 2160
GCD(135, 432) = ( 135 x 432 ) / 2160
= 135 / 432
= 135
Step2:
LCM(27, 610) = 16470
GCD(27, 610) = ( 27 x 610 ) / 16470
= 27 / 610
= 27
Step3:
LCM(1, 416) = 416
GCD(1, 416) = ( 1 x 416 ) / 416
= 1 / 416
= 1
So, Greatest Common Divisor of 135, 432, 610, 416 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 135, 432, 610, 416
The greatest common divisor of numbers 135, 432, 610, 416 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 432, 610, 416 is 1.
1. What is the GCD of 135, 432, 610, 416?
GCD of given numbers 135, 432, 610, 416 is 1
2. How to calculate the greatest common divisor of 135, 432, 610, 416?
We can find the highest common divisor of 135, 432, 610, 416 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, 432, 610, 416 i.e 1.
3. How can I use the GCD of 135, 432, 610, 416Calculator?
Out the numbers 135, 432, 610, 416 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.