GCD of 214, 267, 156, 490 Calculator

Given Input numbers are 214, 267, 156, 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 267 :

The positive integer divisors of 267 that completely divides 267 are.

1, 3, 89, 267

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

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, 267, 156, 490) = 1.

Given numbers are 214, 267, 156, 490

The list of prime factors of all numbers are

Prime factors of 214 are 2 x 107

Prime factors of 267 are 3 x 89

Prime factors of 156 are 2 x 2 x 3 x 13

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, 267, 156, 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, 267) = 57138

GCD(214, 267) = ( 214 x 267 ) / 57138

= 214 / 267

= 214

Step2:

LCM(1, 156) = 156

GCD(1, 156) = ( 1 x 156 ) / 156

= 1 / 156

= 1

Step3:

LCM(1, 490) = 490

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

= 1 / 490

= 1

So, Greatest Common Divisor of 214, 267, 156, 490 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 388, 180, 911, 540
• GCD of 673, 706, 393, 380
• GCD of 149, 476, 214, 370
• GCD of 780, 728, 225, 986
• GCD of 766, 521, 952, 765

Given numbers are 214, 267, 156, 490
The greatest common divisor of numbers 214, 267, 156, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 214, 267, 156, 490 is 1.

1. What is the GCD of 214, 267, 156, 490?

GCD of given numbers 214, 267, 156, 490 is 1

2. How to calculate the greatest common divisor of 214, 267, 156, 490?

We can find the highest common divisor of 214, 267, 156, 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, 267, 156, 490 i.e 1.

3. How can I use the GCD of 214, 267, 156, 490Calculator?

Out the numbers 214, 267, 156, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.