GCD of 724, 656, 392, 752 Calculator

Given Input numbers are 724, 656, 392, 752

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 656 :

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

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

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

GCD of numbers is the greatest common divisor

So, the GCD (724, 656, 392, 752) = 4.

Given numbers are 724, 656, 392, 752

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

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

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

The highest common occurrence is 2²

Therefore, GCD of 724, 656, 392, 752 is 4.

Given numbers are 724, 656, 392, 752

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

Apply this formula for all numbers.

Step1:

LCM(724, 656) = 118736

GCD(724, 656) = ( 724 x 656 ) / 118736

= 724 / 656

= 724

Step2:

LCM(4, 392) = 392

GCD(4, 392) = ( 4 x 392 ) / 392

= 4 / 392

= 4

Step3:

LCM(4, 752) = 752

GCD(4, 752) = ( 4 x 752 ) / 752

= 4 / 752

= 4

So, Greatest Common Divisor of 724, 656, 392, 752 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 361, 888, 186, 614
• GCD of 825, 604, 648, 427
• GCD of 861, 857, 663, 846
• GCD of 449, 293, 217, 335
• GCD of 946, 955, 706, 664

Given numbers are 724, 656, 392, 752
The greatest common divisor of numbers 724, 656, 392, 752 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 656, 392, 752 is 4.

1. What is the GCD of 724, 656, 392, 752?

GCD of given numbers 724, 656, 392, 752 is 4

2. How to calculate the greatest common divisor of 724, 656, 392, 752?

We can find the highest common divisor of 724, 656, 392, 752 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, 656, 392, 752 i.e 4.

3. How can I use the GCD of 724, 656, 392, 752Calculator?

Out the numbers 724, 656, 392, 752 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.