GCD of 462, 332, 688, 586 Calculator

Given Input numbers are 462, 332, 688, 586

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 332 :

The positive integer divisors of 332 that completely divides 332 are.

1, 2, 4, 83, 166, 332

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 586 :

The positive integer divisors of 586 that completely divides 586 are.

1, 2, 293, 586

GCD of numbers is the greatest common divisor

So, the GCD (462, 332, 688, 586) = 2.

Given numbers are 462, 332, 688, 586

The list of prime factors of all numbers are

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

Prime factors of 332 are 2 x 2 x 83

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 586 are 2 x 293

The highest common occurrence is 2¹

Therefore, GCD of 462, 332, 688, 586 is 2.

Given numbers are 462, 332, 688, 586

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

Apply this formula for all numbers.

Step1:

LCM(462, 332) = 76692

GCD(462, 332) = ( 462 x 332 ) / 76692

= 462 / 332

= 462

Step2:

LCM(2, 688) = 688

GCD(2, 688) = ( 2 x 688 ) / 688

= 2 / 688

= 2

Step3:

LCM(2, 586) = 586

GCD(2, 586) = ( 2 x 586 ) / 586

= 2 / 586

= 2

So, Greatest Common Divisor of 462, 332, 688, 586 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 608, 445, 774, 458
• GCD of 927, 857, 909, 263
• GCD of 716, 945, 898, 687
• GCD of 763, 246, 902, 637
• GCD of 668, 631, 798, 158

Given numbers are 462, 332, 688, 586
The greatest common divisor of numbers 462, 332, 688, 586 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 332, 688, 586 is 2.

1. What is the GCD of 462, 332, 688, 586?

GCD of given numbers 462, 332, 688, 586 is 2

2. How to calculate the greatest common divisor of 462, 332, 688, 586?

We can find the highest common divisor of 462, 332, 688, 586 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, 332, 688, 586 i.e 2.

3. How can I use the GCD of 462, 332, 688, 586Calculator?

Out the numbers 462, 332, 688, 586 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.