GCD of 420, 507, 132, 286 Calculator

Given Input numbers are 420, 507, 132, 286

In the factoring method, we have to find the divisors of all numbers

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

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 286 :

The positive integer divisors of 286 that completely divides 286 are.

1, 2, 11, 13, 22, 26, 143, 286

GCD of numbers is the greatest common divisor

So, the GCD (420, 507, 132, 286) = 1.

Given numbers are 420, 507, 132, 286

The list of prime factors of all numbers are

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

Prime factors of 507 are 3 x 13 x 13

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 286 are 2 x 11 x 13

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

Given numbers are 420, 507, 132, 286

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

Apply this formula for all numbers.

Step1:

LCM(420, 507) = 70980

GCD(420, 507) = ( 420 x 507 ) / 70980

= 420 / 507

= 420

Step2:

LCM(3, 132) = 132

GCD(3, 132) = ( 3 x 132 ) / 132

= 3 / 132

= 3

Step3:

LCM(3, 286) = 858

GCD(3, 286) = ( 3 x 286 ) / 858

= 3 / 286

= 3

So, Greatest Common Divisor of 420, 507, 132, 286 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 158, 240, 831, 927
• GCD of 907, 260, 769, 990
• GCD of 438, 782, 592, 519
• GCD of 641, 971, 430, 709
• GCD of 404, 249, 124, 605

Given numbers are 420, 507, 132, 286
The greatest common divisor of numbers 420, 507, 132, 286 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 507, 132, 286 is 1.

1. What is the GCD of 420, 507, 132, 286?

GCD of given numbers 420, 507, 132, 286 is 1

2. How to calculate the greatest common divisor of 420, 507, 132, 286?

We can find the highest common divisor of 420, 507, 132, 286 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 420, 507, 132, 286 i.e 1.

3. How can I use the GCD of 420, 507, 132, 286Calculator?

Out the numbers 420, 507, 132, 286 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.