GCD of 214, 149, 413, 132 Calculator

Given Input numbers are 214, 149, 413, 132

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 149 :

The positive integer divisors of 149 that completely divides 149 are.

1, 149

Divisors of 413 :

The positive integer divisors of 413 that completely divides 413 are.

1, 7, 59, 413

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

GCD of numbers is the greatest common divisor

So, the GCD (214, 149, 413, 132) = 1.

Given numbers are 214, 149, 413, 132

The list of prime factors of all numbers are

Prime factors of 214 are 2 x 107

Prime factors of 149 are 149

Prime factors of 413 are 7 x 59

Prime factors of 132 are 2 x 2 x 3 x 11

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

Given numbers are 214, 149, 413, 132

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

Apply this formula for all numbers.

Step1:

LCM(214, 149) = 31886

GCD(214, 149) = ( 214 x 149 ) / 31886

= 214 / 149

= 214

Step2:

LCM(1, 413) = 413

GCD(1, 413) = ( 1 x 413 ) / 413

= 1 / 413

= 1

Step3:

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

= 1 / 132

= 1

So, Greatest Common Divisor of 214, 149, 413, 132 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 827, 877, 896, 957
• GCD of 795, 926, 300, 137
• GCD of 699, 493, 772, 101
• GCD of 423, 781, 725, 845
• GCD of 525, 584, 449, 660

Given numbers are 214, 149, 413, 132
The greatest common divisor of numbers 214, 149, 413, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 214, 149, 413, 132 is 1.

1. What is the GCD of 214, 149, 413, 132?

GCD of given numbers 214, 149, 413, 132 is 1

2. How to calculate the greatest common divisor of 214, 149, 413, 132?

We can find the highest common divisor of 214, 149, 413, 132 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, 149, 413, 132 i.e 1.

3. How can I use the GCD of 214, 149, 413, 132Calculator?

Out the numbers 214, 149, 413, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.