GCD of 462, 350, 521, 288 Calculator

Given Input numbers are 462, 350, 521, 288

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

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 521 :

The positive integer divisors of 521 that completely divides 521 are.

1, 521

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

GCD of numbers is the greatest common divisor

So, the GCD (462, 350, 521, 288) = 1.

Given numbers are 462, 350, 521, 288

The list of prime factors of all numbers are

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 521 are 521

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

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

Given numbers are 462, 350, 521, 288

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

Apply this formula for all numbers.

Step1:

LCM(462, 350) = 11550

GCD(462, 350) = ( 462 x 350 ) / 11550

= 462 / 350

= 462

Step2:

LCM(14, 521) = 7294

GCD(14, 521) = ( 14 x 521 ) / 7294

= 14 / 521

= 14

Step3:

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

= 1 / 288

= 1

So, Greatest Common Divisor of 462, 350, 521, 288 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 754, 374, 502, 276
• GCD of 794, 307, 733, 946
• GCD of 332, 492, 616, 989
• GCD of 734, 977, 905, 805
• GCD of 950, 516, 111, 309

Given numbers are 462, 350, 521, 288
The greatest common divisor of numbers 462, 350, 521, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 350, 521, 288 is 1.

1. What is the GCD of 462, 350, 521, 288?

GCD of given numbers 462, 350, 521, 288 is 1

2. How to calculate the greatest common divisor of 462, 350, 521, 288?

We can find the highest common divisor of 462, 350, 521, 288 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 462, 350, 521, 288 i.e 1.

3. How can I use the GCD of 462, 350, 521, 288Calculator?

Out the numbers 462, 350, 521, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.