GCD of 390, 500, 118, 420 Calculator

Given Input numbers are 390, 500, 118, 420

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

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

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 (390, 500, 118, 420) = 2.

Given numbers are 390, 500, 118, 420

The list of prime factors of all numbers are

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 118 are 2 x 59

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

The highest common occurrence is 2¹

Therefore, GCD of 390, 500, 118, 420 is 2.

Given numbers are 390, 500, 118, 420

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

Apply this formula for all numbers.

Step1:

LCM(390, 500) = 19500

GCD(390, 500) = ( 390 x 500 ) / 19500

= 390 / 500

= 390

Step2:

LCM(10, 118) = 590

GCD(10, 118) = ( 10 x 118 ) / 590

= 10 / 118

= 10

Step3:

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

= 2 / 420

= 2

So, Greatest Common Divisor of 390, 500, 118, 420 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 357, 722, 649, 572
• GCD of 383, 734, 305, 749
• GCD of 550, 649, 823, 194
• GCD of 156, 495, 236, 982
• GCD of 438, 204, 838, 534

Given numbers are 390, 500, 118, 420
The greatest common divisor of numbers 390, 500, 118, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 500, 118, 420 is 2.

1. What is the GCD of 390, 500, 118, 420?

GCD of given numbers 390, 500, 118, 420 is 2

2. How to calculate the greatest common divisor of 390, 500, 118, 420?

We can find the highest common divisor of 390, 500, 118, 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 390, 500, 118, 420 i.e 2.

3. How can I use the GCD of 390, 500, 118, 420Calculator?

Out the numbers 390, 500, 118, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.