GCD of 135, 496, 138, 414 Calculator

Given Input numbers are 135, 496, 138, 414

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 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

GCD of numbers is the greatest common divisor

So, the GCD (135, 496, 138, 414) = 1.

Given numbers are 135, 496, 138, 414

The list of prime factors of all numbers are

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 138 are 2 x 3 x 23

Prime factors of 414 are 2 x 3 x 3 x 23

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 135, 496, 138, 414

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(135, 496) = 66960

GCD(135, 496) = ( 135 x 496 ) / 66960

= 135 / 496

= 135

Step2:

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

= 1 / 138

= 1

Step3:

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

= 1 / 414

= 1

So, Greatest Common Divisor of 135, 496, 138, 414 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 327, 785, 479, 582
• GCD of 345, 280, 887, 780
• GCD of 486, 250, 987, 764
• GCD of 595, 128, 360, 689
• GCD of 477, 847, 332, 816

Given numbers are 135, 496, 138, 414
The greatest common divisor of numbers 135, 496, 138, 414 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 496, 138, 414 is 1.

1. What is the GCD of 135, 496, 138, 414?

GCD of given numbers 135, 496, 138, 414 is 1

2. How to calculate the greatest common divisor of 135, 496, 138, 414?

We can find the highest common divisor of 135, 496, 138, 414 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, 496, 138, 414 i.e 1.

3. How can I use the GCD of 135, 496, 138, 414Calculator?

Out the numbers 135, 496, 138, 414 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.