GCD of 354, 208, 149, 327 Calculator

Given Input numbers are 354, 208, 149, 327

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

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

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 149 :

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

1, 149

Divisors of 327 :

The positive integer divisors of 327 that completely divides 327 are.

1, 3, 109, 327

GCD of numbers is the greatest common divisor

So, the GCD (354, 208, 149, 327) = 1.

Given numbers are 354, 208, 149, 327

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

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

Prime factors of 149 are 149

Prime factors of 327 are 3 x 109

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

Given numbers are 354, 208, 149, 327

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

Apply this formula for all numbers.

Step1:

LCM(354, 208) = 36816

GCD(354, 208) = ( 354 x 208 ) / 36816

= 354 / 208

= 354

Step2:

LCM(2, 149) = 298

GCD(2, 149) = ( 2 x 149 ) / 298

= 2 / 149

= 2

Step3:

LCM(1, 327) = 327

GCD(1, 327) = ( 1 x 327 ) / 327

= 1 / 327

= 1

So, Greatest Common Divisor of 354, 208, 149, 327 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 112, 387, 457, 387
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• GCD of 216, 433, 948, 782
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• GCD of 850, 479, 626, 454

Given numbers are 354, 208, 149, 327
The greatest common divisor of numbers 354, 208, 149, 327 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 208, 149, 327 is 1.

1. What is the GCD of 354, 208, 149, 327?

GCD of given numbers 354, 208, 149, 327 is 1

2. How to calculate the greatest common divisor of 354, 208, 149, 327?

We can find the highest common divisor of 354, 208, 149, 327 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 354, 208, 149, 327 i.e 1.

3. How can I use the GCD of 354, 208, 149, 327Calculator?

Out the numbers 354, 208, 149, 327 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.