GCD of 490, 612, 409, 210 Calculator

Given Input numbers are 490, 612, 409, 210

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

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

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 409 :

The positive integer divisors of 409 that completely divides 409 are.

1, 409

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

GCD of numbers is the greatest common divisor

So, the GCD (490, 612, 409, 210) = 1.

Given numbers are 490, 612, 409, 210

The list of prime factors of all numbers are

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

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 409 are 409

Prime factors of 210 are 2 x 3 x 5 x 7

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 490, 612, 409, 210

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

Apply this formula for all numbers.

Step1:

LCM(490, 612) = 149940

GCD(490, 612) = ( 490 x 612 ) / 149940

= 490 / 612

= 490

Step2:

LCM(2, 409) = 818

GCD(2, 409) = ( 2 x 409 ) / 818

= 2 / 409

= 2

Step3:

LCM(1, 210) = 210

GCD(1, 210) = ( 1 x 210 ) / 210

= 1 / 210

= 1

So, Greatest Common Divisor of 490, 612, 409, 210 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 180, 300, 382, 867
• GCD of 229, 808, 615, 868
• GCD of 520, 145, 929, 353
• GCD of 442, 730, 912, 138
• GCD of 526, 318, 968, 475

Given numbers are 490, 612, 409, 210
The greatest common divisor of numbers 490, 612, 409, 210 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 612, 409, 210 is 1.

1. What is the GCD of 490, 612, 409, 210?

GCD of given numbers 490, 612, 409, 210 is 1

2. How to calculate the greatest common divisor of 490, 612, 409, 210?

We can find the highest common divisor of 490, 612, 409, 210 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 490, 612, 409, 210 i.e 1.

3. How can I use the GCD of 490, 612, 409, 210Calculator?

Out the numbers 490, 612, 409, 210 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.