GCD of 490, 400, 478, 221 Calculator

Given Input numbers are 490, 400, 478, 221

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 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

GCD of numbers is the greatest common divisor

So, the GCD (490, 400, 478, 221) = 1.

Given numbers are 490, 400, 478, 221

The list of prime factors of all numbers are

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

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 478 are 2 x 239

Prime factors of 221 are 13 x 17

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

Given numbers are 490, 400, 478, 221

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

Apply this formula for all numbers.

Step1:

LCM(490, 400) = 19600

GCD(490, 400) = ( 490 x 400 ) / 19600

= 490 / 400

= 490

Step2:

LCM(10, 478) = 2390

GCD(10, 478) = ( 10 x 478 ) / 2390

= 10 / 478

= 10

Step3:

LCM(2, 221) = 442

GCD(2, 221) = ( 2 x 221 ) / 442

= 2 / 221

= 2

So, Greatest Common Divisor of 490, 400, 478, 221 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 549, 567, 697, 730
• GCD of 723, 412, 234, 345
• GCD of 314, 129, 711, 588
• GCD of 469, 113, 582, 366
• GCD of 724, 766, 180, 943

Given numbers are 490, 400, 478, 221
The greatest common divisor of numbers 490, 400, 478, 221 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 400, 478, 221 is 1.

1. What is the GCD of 490, 400, 478, 221?

GCD of given numbers 490, 400, 478, 221 is 1

2. How to calculate the greatest common divisor of 490, 400, 478, 221?

We can find the highest common divisor of 490, 400, 478, 221 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, 400, 478, 221 i.e 1.

3. How can I use the GCD of 490, 400, 478, 221Calculator?

Out the numbers 490, 400, 478, 221 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.