GCD of 135, 213, 53, 420 Calculator

Given Input numbers are 135, 213, 53, 420

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 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

Divisors of 53 :

The positive integer divisors of 53 that completely divides 53 are.

1, 53

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (135, 213, 53, 420) = 1.

Given numbers are 135, 213, 53, 420

The list of prime factors of all numbers are

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

Prime factors of 213 are 3 x 71

Prime factors of 53 are 53

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

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

Given numbers are 135, 213, 53, 420

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

Apply this formula for all numbers.

Step1:

LCM(135, 213) = 9585

GCD(135, 213) = ( 135 x 213 ) / 9585

= 135 / 213

= 135

Step2:

LCM(3, 53) = 159

GCD(3, 53) = ( 3 x 53 ) / 159

= 3 / 53

= 3

Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

So, Greatest Common Divisor of 135, 213, 53, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 960, 301, 41, 433
• GCD of 891, 359, 67, 523
• GCD of 722, 115, 96, 718
• GCD of 210, 413, 58, 764
• GCD of 186, 690, 10, 525

Given numbers are 135, 213, 53, 420
The greatest common divisor of numbers 135, 213, 53, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 213, 53, 420 is 1.

1. What is the GCD of 135, 213, 53, 420?

GCD of given numbers 135, 213, 53, 420 is 1

2. How to calculate the greatest common divisor of 135, 213, 53, 420?

We can find the highest common divisor of 135, 213, 53, 420 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, 213, 53, 420 i.e 1.

3. How can I use the GCD of 135, 213, 53, 420Calculator?

Out the numbers 135, 213, 53, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.