GCD of 354, 512, 213, 696 Calculator

Given Input numbers are 354, 512, 213, 696

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 512 :

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

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

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

GCD of numbers is the greatest common divisor

So, the GCD (354, 512, 213, 696) = 1.

Given numbers are 354, 512, 213, 696

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

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 213 are 3 x 71

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

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

Given numbers are 354, 512, 213, 696

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

Apply this formula for all numbers.

Step1:

LCM(354, 512) = 90624

GCD(354, 512) = ( 354 x 512 ) / 90624

= 354 / 512

= 354

Step2:

LCM(2, 213) = 426

GCD(2, 213) = ( 2 x 213 ) / 426

= 2 / 213

= 2

Step3:

LCM(1, 696) = 696

GCD(1, 696) = ( 1 x 696 ) / 696

= 1 / 696

= 1

So, Greatest Common Divisor of 354, 512, 213, 696 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 517, 689, 814, 559
• GCD of 571, 692, 766, 264
• GCD of 850, 508, 349, 522
• GCD of 466, 440, 750, 445
• GCD of 153, 825, 659, 341

Given numbers are 354, 512, 213, 696
The greatest common divisor of numbers 354, 512, 213, 696 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 512, 213, 696 is 1.

1. What is the GCD of 354, 512, 213, 696?

GCD of given numbers 354, 512, 213, 696 is 1

2. How to calculate the greatest common divisor of 354, 512, 213, 696?

We can find the highest common divisor of 354, 512, 213, 696 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, 512, 213, 696 i.e 1.

3. How can I use the GCD of 354, 512, 213, 696Calculator?

Out the numbers 354, 512, 213, 696 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.