GCD of 420, 495, 570, 490 Calculator

Given Input numbers are 420, 495, 570, 490

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 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 570 :

The positive integer divisors of 570 that completely divides 570 are.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

GCD of numbers is the greatest common divisor

So, the GCD (420, 495, 570, 490) = 5.

Given numbers are 420, 495, 570, 490

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 495 are 3 x 3 x 5 x 11

Prime factors of 570 are 2 x 3 x 5 x 19

Prime factors of 490 are 2 x 5 x 7 x 7

The highest common occurrence is 5¹

Therefore, GCD of 420, 495, 570, 490 is 5.

Given numbers are 420, 495, 570, 490

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

Apply this formula for all numbers.

Step1:

LCM(420, 495) = 13860

GCD(420, 495) = ( 420 x 495 ) / 13860

= 420 / 495

= 420

Step2:

LCM(15, 570) = 570

GCD(15, 570) = ( 15 x 570 ) / 570

= 15 / 570

= 15

Step3:

LCM(15, 490) = 1470

GCD(15, 490) = ( 15 x 490 ) / 1470

= 15 / 490

= 15

So, Greatest Common Divisor of 420, 495, 570, 490 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 250, 265, 606, 174
• GCD of 832, 806, 244, 414
• GCD of 708, 420, 354, 463
• GCD of 994, 789, 579, 483
• GCD of 186, 583, 420, 137

Given numbers are 420, 495, 570, 490
The greatest common divisor of numbers 420, 495, 570, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 495, 570, 490 is 5.

1. What is the GCD of 420, 495, 570, 490?

GCD of given numbers 420, 495, 570, 490 is 5

2. How to calculate the greatest common divisor of 420, 495, 570, 490?

We can find the highest common divisor of 420, 495, 570, 490 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, 495, 570, 490 i.e 5.

3. How can I use the GCD of 420, 495, 570, 490Calculator?

Out the numbers 420, 495, 570, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.