GCD of 560, 420, 38, 500 Calculator

Given Input numbers are 560, 420, 38, 500

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

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

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 38 :

The positive integer divisors of 38 that completely divides 38 are.

1, 2, 19, 38

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

GCD of numbers is the greatest common divisor

So, the GCD (560, 420, 38, 500) = 2.

Given numbers are 560, 420, 38, 500

The list of prime factors of all numbers are

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

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

Prime factors of 38 are 2 x 19

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

The highest common occurrence is 2¹

Therefore, GCD of 560, 420, 38, 500 is 2.

Given numbers are 560, 420, 38, 500

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

Apply this formula for all numbers.

Step1:

LCM(560, 420) = 1680

GCD(560, 420) = ( 560 x 420 ) / 1680

= 560 / 420

= 560

Step2:

LCM(140, 38) = 2660

GCD(140, 38) = ( 140 x 38 ) / 2660

= 140 / 38

= 140

Step3:

LCM(2, 500) = 500

GCD(2, 500) = ( 2 x 500 ) / 500

= 2 / 500

= 2

So, Greatest Common Divisor of 560, 420, 38, 500 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 125, 654, 40, 667
• GCD of 828, 217, 10, 734
• GCD of 620, 643, 20, 501
• GCD of 708, 121, 69, 857
• GCD of 912, 167, 33, 269

Given numbers are 560, 420, 38, 500
The greatest common divisor of numbers 560, 420, 38, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 420, 38, 500 is 2.

1. What is the GCD of 560, 420, 38, 500?

GCD of given numbers 560, 420, 38, 500 is 2

2. How to calculate the greatest common divisor of 560, 420, 38, 500?

We can find the highest common divisor of 560, 420, 38, 500 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 560, 420, 38, 500 i.e 2.

3. How can I use the GCD of 560, 420, 38, 500Calculator?

Out the numbers 560, 420, 38, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.