GCD of 726, 406, 672, 872 Calculator

Given Input numbers are 726, 406, 672, 872

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

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 406 :

The positive integer divisors of 406 that completely divides 406 are.

1, 2, 7, 14, 29, 58, 203, 406

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 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

GCD of numbers is the greatest common divisor

So, the GCD (726, 406, 672, 872) = 2.

Given numbers are 726, 406, 672, 872

The list of prime factors of all numbers are

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

Prime factors of 406 are 2 x 7 x 29

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

Prime factors of 872 are 2 x 2 x 2 x 109

The highest common occurrence is 2¹

Therefore, GCD of 726, 406, 672, 872 is 2.

Given numbers are 726, 406, 672, 872

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

Apply this formula for all numbers.

Step1:

LCM(726, 406) = 147378

GCD(726, 406) = ( 726 x 406 ) / 147378

= 726 / 406

= 726

Step2:

LCM(2, 672) = 672

GCD(2, 672) = ( 2 x 672 ) / 672

= 2 / 672

= 2

Step3:

LCM(2, 872) = 872

GCD(2, 872) = ( 2 x 872 ) / 872

= 2 / 872

= 2

So, Greatest Common Divisor of 726, 406, 672, 872 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 414, 803, 922, 547
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Given numbers are 726, 406, 672, 872
The greatest common divisor of numbers 726, 406, 672, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 406, 672, 872 is 2.

1. What is the GCD of 726, 406, 672, 872?

GCD of given numbers 726, 406, 672, 872 is 2

2. How to calculate the greatest common divisor of 726, 406, 672, 872?

We can find the highest common divisor of 726, 406, 672, 872 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 726, 406, 672, 872 i.e 2.

3. How can I use the GCD of 726, 406, 672, 872Calculator?

Out the numbers 726, 406, 672, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.