GCD of 214, 471, 489, 490 Calculator

Given Input numbers are 214, 471, 489, 490

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

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

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 (214, 471, 489, 490) = 1.

Given numbers are 214, 471, 489, 490

The list of prime factors of all numbers are

Prime factors of 214 are 2 x 107

Prime factors of 471 are 3 x 157

Prime factors of 489 are 3 x 163

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

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

Given numbers are 214, 471, 489, 490

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

Apply this formula for all numbers.

Step1:

LCM(214, 471) = 100794

GCD(214, 471) = ( 214 x 471 ) / 100794

= 214 / 471

= 214

Step2:

LCM(1, 489) = 489

GCD(1, 489) = ( 1 x 489 ) / 489

= 1 / 489

= 1

Step3:

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

= 1 / 490

= 1

So, Greatest Common Divisor of 214, 471, 489, 490 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 573, 705, 807, 414
• GCD of 411, 339, 602, 720
• GCD of 669, 574, 920, 839
• GCD of 168, 894, 284, 600
• GCD of 778, 496, 521, 107

Given numbers are 214, 471, 489, 490
The greatest common divisor of numbers 214, 471, 489, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 214, 471, 489, 490 is 1.

1. What is the GCD of 214, 471, 489, 490?

GCD of given numbers 214, 471, 489, 490 is 1

2. How to calculate the greatest common divisor of 214, 471, 489, 490?

We can find the highest common divisor of 214, 471, 489, 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 214, 471, 489, 490 i.e 1.

3. How can I use the GCD of 214, 471, 489, 490Calculator?

Out the numbers 214, 471, 489, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.