GCD of 126, 208, 167, 214 Calculator

Given Input numbers are 126, 208, 167, 214

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

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 167 :

The positive integer divisors of 167 that completely divides 167 are.

1, 167

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 (126, 208, 167, 214) = 1.

Given numbers are 126, 208, 167, 214

The list of prime factors of all numbers are

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 167 are 167

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 126, 208, 167, 214

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

Apply this formula for all numbers.

Step1:

LCM(126, 208) = 13104

GCD(126, 208) = ( 126 x 208 ) / 13104

= 126 / 208

= 126

Step2:

LCM(2, 167) = 334

GCD(2, 167) = ( 2 x 167 ) / 334

= 2 / 167

= 2

Step3:

LCM(1, 214) = 214

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

= 1 / 214

= 1

So, Greatest Common Divisor of 126, 208, 167, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 659, 667, 300, 362
• GCD of 620, 993, 921, 957
• GCD of 557, 335, 893, 800
• GCD of 107, 993, 146, 640
• GCD of 407, 734, 411, 546

Given numbers are 126, 208, 167, 214
The greatest common divisor of numbers 126, 208, 167, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 208, 167, 214 is 1.

1. What is the GCD of 126, 208, 167, 214?

GCD of given numbers 126, 208, 167, 214 is 1

2. How to calculate the greatest common divisor of 126, 208, 167, 214?

We can find the highest common divisor of 126, 208, 167, 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 126, 208, 167, 214 i.e 1.

3. How can I use the GCD of 126, 208, 167, 214Calculator?

Out the numbers 126, 208, 167, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.