GCD of 135, 427, 800, 308 Calculator

Given Input numbers are 135, 427, 800, 308

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 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

GCD of numbers is the greatest common divisor

So, the GCD (135, 427, 800, 308) = 1.

Given numbers are 135, 427, 800, 308

The list of prime factors of all numbers are

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

Prime factors of 427 are 7 x 61

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 308 are 2 x 2 x 7 x 11

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

Given numbers are 135, 427, 800, 308

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

Apply this formula for all numbers.

Step1:

LCM(135, 427) = 57645

GCD(135, 427) = ( 135 x 427 ) / 57645

= 135 / 427

= 135

Step2:

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

= 1 / 800

= 1

Step3:

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

= 1 / 308

= 1

So, Greatest Common Divisor of 135, 427, 800, 308 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 584, 279, 409, 590
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• GCD of 471, 368, 816, 536

Given numbers are 135, 427, 800, 308
The greatest common divisor of numbers 135, 427, 800, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 427, 800, 308 is 1.

1. What is the GCD of 135, 427, 800, 308?

GCD of given numbers 135, 427, 800, 308 is 1

2. How to calculate the greatest common divisor of 135, 427, 800, 308?

We can find the highest common divisor of 135, 427, 800, 308 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, 427, 800, 308 i.e 1.

3. How can I use the GCD of 135, 427, 800, 308Calculator?

Out the numbers 135, 427, 800, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.