GCD of 354, 338, 512, 467 Calculator

Given Input numbers are 354, 338, 512, 467

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 338 :

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

1, 2, 13, 26, 169, 338

Divisors of 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 467 :

The positive integer divisors of 467 that completely divides 467 are.

1, 467

GCD of numbers is the greatest common divisor

So, the GCD (354, 338, 512, 467) = 1.

Given numbers are 354, 338, 512, 467

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 338 are 2 x 13 x 13

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 467 are 467

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

Given numbers are 354, 338, 512, 467

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

Apply this formula for all numbers.

Step1:

LCM(354, 338) = 59826

GCD(354, 338) = ( 354 x 338 ) / 59826

= 354 / 338

= 354

Step2:

LCM(2, 512) = 512

GCD(2, 512) = ( 2 x 512 ) / 512

= 2 / 512

= 2

Step3:

LCM(2, 467) = 934

GCD(2, 467) = ( 2 x 467 ) / 934

= 2 / 467

= 2

So, Greatest Common Divisor of 354, 338, 512, 467 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 745, 435, 348, 785
• GCD of 187, 856, 209, 306
• GCD of 238, 425, 389, 596
• GCD of 128, 289, 246, 927
• GCD of 191, 553, 517, 695

Given numbers are 354, 338, 512, 467
The greatest common divisor of numbers 354, 338, 512, 467 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 338, 512, 467 is 1.

1. What is the GCD of 354, 338, 512, 467?

GCD of given numbers 354, 338, 512, 467 is 1

2. How to calculate the greatest common divisor of 354, 338, 512, 467?

We can find the highest common divisor of 354, 338, 512, 467 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, 338, 512, 467 i.e 1.

3. How can I use the GCD of 354, 338, 512, 467Calculator?

Out the numbers 354, 338, 512, 467 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.