GCD of 117, 483, 420, 888 Calculator

Given Input numbers are 117, 483, 420, 888

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

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

Divisors of 483 :

The positive integer divisors of 483 that completely divides 483 are.

1, 3, 7, 21, 23, 69, 161, 483

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 888 :

The positive integer divisors of 888 that completely divides 888 are.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

GCD of numbers is the greatest common divisor

So, the GCD (117, 483, 420, 888) = 3.

Given numbers are 117, 483, 420, 888

The list of prime factors of all numbers are

Prime factors of 117 are 3 x 3 x 13

Prime factors of 483 are 3 x 7 x 23

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

Prime factors of 888 are 2 x 2 x 2 x 3 x 37

The highest common occurrence is 3¹

Therefore, GCD of 117, 483, 420, 888 is 3.

Given numbers are 117, 483, 420, 888

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

Apply this formula for all numbers.

Step1:

LCM(117, 483) = 18837

GCD(117, 483) = ( 117 x 483 ) / 18837

= 117 / 483

= 117

Step2:

LCM(3, 420) = 420

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

= 3 / 420

= 3

Step3:

LCM(3, 888) = 888

GCD(3, 888) = ( 3 x 888 ) / 888

= 3 / 888

= 3

So, Greatest Common Divisor of 117, 483, 420, 888 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 220, 309, 867, 844
• GCD of 633, 836, 903, 881
• GCD of 142, 431, 734, 694
• GCD of 671, 294, 327, 336
• GCD of 837, 534, 640, 468

Given numbers are 117, 483, 420, 888
The greatest common divisor of numbers 117, 483, 420, 888 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 117, 483, 420, 888 is 3.

1. What is the GCD of 117, 483, 420, 888?

GCD of given numbers 117, 483, 420, 888 is 3

2. How to calculate the greatest common divisor of 117, 483, 420, 888?

We can find the highest common divisor of 117, 483, 420, 888 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 117, 483, 420, 888 i.e 3.

3. How can I use the GCD of 117, 483, 420, 888Calculator?

Out the numbers 117, 483, 420, 888 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.