GCD of 363, 870, 507, 420 Calculator

Given Input numbers are 363, 870, 507, 420

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

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 507 :

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

1, 3, 13, 39, 169, 507

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 (363, 870, 507, 420) = 3.

Given numbers are 363, 870, 507, 420

The list of prime factors of all numbers are

Prime factors of 363 are 3 x 11 x 11

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 507 are 3 x 13 x 13

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

The highest common occurrence is 3¹

Therefore, GCD of 363, 870, 507, 420 is 3.

Given numbers are 363, 870, 507, 420

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

Apply this formula for all numbers.

Step1:

LCM(363, 870) = 105270

GCD(363, 870) = ( 363 x 870 ) / 105270

= 363 / 870

= 363

Step2:

LCM(3, 507) = 507

GCD(3, 507) = ( 3 x 507 ) / 507

= 3 / 507

= 3

Step3:

LCM(3, 420) = 420

GCD(3, 420) = ( 3 x 420 ) / 420

= 3 / 420

= 3

So, Greatest Common Divisor of 363, 870, 507, 420 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 927, 330, 174, 337
• GCD of 481, 289, 139, 283
• GCD of 146, 196, 465, 897
• GCD of 681, 808, 492, 259
• GCD of 953, 834, 938, 301

Given numbers are 363, 870, 507, 420
The greatest common divisor of numbers 363, 870, 507, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 363, 870, 507, 420 is 3.

1. What is the GCD of 363, 870, 507, 420?

GCD of given numbers 363, 870, 507, 420 is 3

2. How to calculate the greatest common divisor of 363, 870, 507, 420?

We can find the highest common divisor of 363, 870, 507, 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 363, 870, 507, 420 i.e 3.

3. How can I use the GCD of 363, 870, 507, 420Calculator?

Out the numbers 363, 870, 507, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.