GCD of 462, 726, 672, 688 Calculator

Given Input numbers are 462, 726, 672, 688

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 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 688 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (462, 726, 672, 688) = 2.

Given numbers are 462, 726, 672, 688

The list of prime factors of all numbers are

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

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

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

The highest common occurrence is 2¹

Therefore, GCD of 462, 726, 672, 688 is 2.

Given numbers are 462, 726, 672, 688

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

Apply this formula for all numbers.

Step1:

LCM(462, 726) = 5082

GCD(462, 726) = ( 462 x 726 ) / 5082

= 462 / 726

= 462

Step2:

LCM(66, 672) = 7392

GCD(66, 672) = ( 66 x 672 ) / 7392

= 66 / 672

= 66

Step3:

LCM(6, 688) = 2064

GCD(6, 688) = ( 6 x 688 ) / 2064

= 6 / 688

= 6

So, Greatest Common Divisor of 462, 726, 672, 688 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 460, 576, 877, 472
• GCD of 784, 445, 205, 596
• GCD of 819, 348, 299, 415
• GCD of 519, 241, 911, 978
• GCD of 679, 945, 722, 911

Given numbers are 462, 726, 672, 688
The greatest common divisor of numbers 462, 726, 672, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 726, 672, 688 is 2.

1. What is the GCD of 462, 726, 672, 688?

GCD of given numbers 462, 726, 672, 688 is 2

2. How to calculate the greatest common divisor of 462, 726, 672, 688?

We can find the highest common divisor of 462, 726, 672, 688 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, 726, 672, 688 i.e 2.

3. How can I use the GCD of 462, 726, 672, 688Calculator?

Out the numbers 462, 726, 672, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.