GCD of 369, 342, 490, 214 Calculator

Given Input numbers are 369, 342, 490, 214

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

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

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 214 :

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

1, 2, 107, 214

GCD of numbers is the greatest common divisor

So, the GCD (369, 342, 490, 214) = 1.

Given numbers are 369, 342, 490, 214

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

Prime factors of 342 are 2 x 3 x 3 x 19

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

Prime factors of 214 are 2 x 107

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

Given numbers are 369, 342, 490, 214

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

Apply this formula for all numbers.

Step1:

LCM(369, 342) = 14022

GCD(369, 342) = ( 369 x 342 ) / 14022

= 369 / 342

= 369

Step2:

LCM(9, 490) = 4410

GCD(9, 490) = ( 9 x 490 ) / 4410

= 9 / 490

= 9

Step3:

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

= 1 / 214

= 1

So, Greatest Common Divisor of 369, 342, 490, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 834, 498, 553, 515
• GCD of 790, 495, 813, 922
• GCD of 506, 543, 737, 225
• GCD of 206, 691, 103, 667
• GCD of 971, 856, 369, 428

Given numbers are 369, 342, 490, 214
The greatest common divisor of numbers 369, 342, 490, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 342, 490, 214 is 1.

1. What is the GCD of 369, 342, 490, 214?

GCD of given numbers 369, 342, 490, 214 is 1

2. How to calculate the greatest common divisor of 369, 342, 490, 214?

We can find the highest common divisor of 369, 342, 490, 214 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 369, 342, 490, 214 i.e 1.

3. How can I use the GCD of 369, 342, 490, 214Calculator?

Out the numbers 369, 342, 490, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.