GCD of 105, 338, 408, 132 Calculator

Given Input numbers are 105, 338, 408, 132

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

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 (105, 338, 408, 132) = 1.

Given numbers are 105, 338, 408, 132

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 338 are 2 x 13 x 13

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

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 105, 338, 408, 132

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

Apply this formula for all numbers.

Step1:

LCM(105, 338) = 35490

GCD(105, 338) = ( 105 x 338 ) / 35490

= 105 / 338

= 105

Step2:

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

= 1 / 408

= 1

Step3:

LCM(1, 132) = 132

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

= 1 / 132

= 1

So, Greatest Common Divisor of 105, 338, 408, 132 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 966, 345, 141, 619
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Given numbers are 105, 338, 408, 132
The greatest common divisor of numbers 105, 338, 408, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 338, 408, 132 is 1.

1. What is the GCD of 105, 338, 408, 132?

GCD of given numbers 105, 338, 408, 132 is 1

2. How to calculate the greatest common divisor of 105, 338, 408, 132?

We can find the highest common divisor of 105, 338, 408, 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 105, 338, 408, 132 i.e 1.

3. How can I use the GCD of 105, 338, 408, 132Calculator?

Out the numbers 105, 338, 408, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.