GCD of 724, 470, 656, 826 Calculator

Given Input numbers are 724, 470, 656, 826

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

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

GCD of numbers is the greatest common divisor

So, the GCD (724, 470, 656, 826) = 2.

Given numbers are 724, 470, 656, 826

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 470 are 2 x 5 x 47

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

Prime factors of 826 are 2 x 7 x 59

The highest common occurrence is 2¹

Therefore, GCD of 724, 470, 656, 826 is 2.

Given numbers are 724, 470, 656, 826

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

Apply this formula for all numbers.

Step1:

LCM(724, 470) = 170140

GCD(724, 470) = ( 724 x 470 ) / 170140

= 724 / 470

= 724

Step2:

LCM(2, 656) = 656

GCD(2, 656) = ( 2 x 656 ) / 656

= 2 / 656

= 2

Step3:

LCM(2, 826) = 826

GCD(2, 826) = ( 2 x 826 ) / 826

= 2 / 826

= 2

So, Greatest Common Divisor of 724, 470, 656, 826 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 624, 973, 982, 391
• GCD of 653, 596, 666, 723
• GCD of 136, 335, 293, 400
• GCD of 786, 769, 873, 951
• GCD of 244, 807, 228, 245

Given numbers are 724, 470, 656, 826
The greatest common divisor of numbers 724, 470, 656, 826 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 470, 656, 826 is 2.

1. What is the GCD of 724, 470, 656, 826?

GCD of given numbers 724, 470, 656, 826 is 2

2. How to calculate the greatest common divisor of 724, 470, 656, 826?

We can find the highest common divisor of 724, 470, 656, 826 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 724, 470, 656, 826 i.e 2.

3. How can I use the GCD of 724, 470, 656, 826Calculator?

Out the numbers 724, 470, 656, 826 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.