GCD of 135, 410, 827, 144 Calculator

Given Input numbers are 135, 410, 827, 144

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 410 :

The positive integer divisors of 410 that completely divides 410 are.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 827 :

The positive integer divisors of 827 that completely divides 827 are.

1, 827

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

GCD of numbers is the greatest common divisor

So, the GCD (135, 410, 827, 144) = 1.

Given numbers are 135, 410, 827, 144

The list of prime factors of all numbers are

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

Prime factors of 410 are 2 x 5 x 41

Prime factors of 827 are 827

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

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

Given numbers are 135, 410, 827, 144

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

Apply this formula for all numbers.

Step1:

LCM(135, 410) = 11070

GCD(135, 410) = ( 135 x 410 ) / 11070

= 135 / 410

= 135

Step2:

LCM(5, 827) = 4135

GCD(5, 827) = ( 5 x 827 ) / 4135

= 5 / 827

= 5

Step3:

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

= 1 / 144

= 1

So, Greatest Common Divisor of 135, 410, 827, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 733, 939, 442, 664
• GCD of 609, 678, 712, 786
• GCD of 131, 521, 860, 513
• GCD of 591, 255, 606, 553
• GCD of 685, 981, 679, 347

Given numbers are 135, 410, 827, 144
The greatest common divisor of numbers 135, 410, 827, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 410, 827, 144 is 1.

1. What is the GCD of 135, 410, 827, 144?

GCD of given numbers 135, 410, 827, 144 is 1

2. How to calculate the greatest common divisor of 135, 410, 827, 144?

We can find the highest common divisor of 135, 410, 827, 144 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, 410, 827, 144 i.e 1.

3. How can I use the GCD of 135, 410, 827, 144Calculator?

Out the numbers 135, 410, 827, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.