GCD of 420, 564, 518, 250 Calculator

Given Input numbers are 420, 564, 518, 250

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 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 518 :

The positive integer divisors of 518 that completely divides 518 are.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 250 :

The positive integer divisors of 250 that completely divides 250 are.

1, 2, 5, 10, 25, 50, 125, 250

GCD of numbers is the greatest common divisor

So, the GCD (420, 564, 518, 250) = 2.

Given numbers are 420, 564, 518, 250

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 564 are 2 x 2 x 3 x 47

Prime factors of 518 are 2 x 7 x 37

Prime factors of 250 are 2 x 5 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 420, 564, 518, 250 is 2.

Given numbers are 420, 564, 518, 250

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

Apply this formula for all numbers.

Step1:

LCM(420, 564) = 19740

GCD(420, 564) = ( 420 x 564 ) / 19740

= 420 / 564

= 420

Step2:

LCM(12, 518) = 3108

GCD(12, 518) = ( 12 x 518 ) / 3108

= 12 / 518

= 12

Step3:

LCM(2, 250) = 250

GCD(2, 250) = ( 2 x 250 ) / 250

= 2 / 250

= 2

So, Greatest Common Divisor of 420, 564, 518, 250 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 690, 819, 203, 200
• GCD of 675, 529, 627, 184
• GCD of 627, 684, 603, 525
• GCD of 755, 417, 342, 949
• GCD of 715, 332, 883, 786

Given numbers are 420, 564, 518, 250
The greatest common divisor of numbers 420, 564, 518, 250 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 564, 518, 250 is 2.

1. What is the GCD of 420, 564, 518, 250?

GCD of given numbers 420, 564, 518, 250 is 2

2. How to calculate the greatest common divisor of 420, 564, 518, 250?

We can find the highest common divisor of 420, 564, 518, 250 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, 564, 518, 250 i.e 2.

3. How can I use the GCD of 420, 564, 518, 250Calculator?

Out the numbers 420, 564, 518, 250 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.