GCD of 490, 144, 214, 215 Calculator

Given Input numbers are 490, 144, 214, 215

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 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 214 :

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

1, 2, 107, 214

Divisors of 215 :

The positive integer divisors of 215 that completely divides 215 are.

1, 5, 43, 215

GCD of numbers is the greatest common divisor

So, the GCD (490, 144, 214, 215) = 1.

Given numbers are 490, 144, 214, 215

The list of prime factors of all numbers are

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

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 214 are 2 x 107

Prime factors of 215 are 5 x 43

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

Given numbers are 490, 144, 214, 215

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

Apply this formula for all numbers.

Step1:

LCM(490, 144) = 35280

GCD(490, 144) = ( 490 x 144 ) / 35280

= 490 / 144

= 490

Step2:

LCM(2, 214) = 214

GCD(2, 214) = ( 2 x 214 ) / 214

= 2 / 214

= 2

Step3:

LCM(2, 215) = 430

GCD(2, 215) = ( 2 x 215 ) / 430

= 2 / 215

= 2

So, Greatest Common Divisor of 490, 144, 214, 215 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 816, 547, 142, 980
• GCD of 285, 786, 546, 787
• GCD of 882, 516, 182, 313
• GCD of 522, 716, 703, 144
• GCD of 517, 933, 231, 564

Given numbers are 490, 144, 214, 215
The greatest common divisor of numbers 490, 144, 214, 215 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 144, 214, 215 is 1.

1. What is the GCD of 490, 144, 214, 215?

GCD of given numbers 490, 144, 214, 215 is 1

2. How to calculate the greatest common divisor of 490, 144, 214, 215?

We can find the highest common divisor of 490, 144, 214, 215 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, 144, 214, 215 i.e 1.

3. How can I use the GCD of 490, 144, 214, 215Calculator?

Out the numbers 490, 144, 214, 215 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.