GCD of 724, 112, 326, 976 Calculator

Given Input numbers are 724, 112, 326, 976

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 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 326 :

The positive integer divisors of 326 that completely divides 326 are.

1, 2, 163, 326

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

GCD of numbers is the greatest common divisor

So, the GCD (724, 112, 326, 976) = 2.

Given numbers are 724, 112, 326, 976

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 326 are 2 x 163

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

The highest common occurrence is 2¹

Therefore, GCD of 724, 112, 326, 976 is 2.

Given numbers are 724, 112, 326, 976

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

Apply this formula for all numbers.

Step1:

LCM(724, 112) = 20272

GCD(724, 112) = ( 724 x 112 ) / 20272

= 724 / 112

= 724

Step2:

LCM(4, 326) = 652

GCD(4, 326) = ( 4 x 326 ) / 652

= 4 / 326

= 4

Step3:

LCM(2, 976) = 976

GCD(2, 976) = ( 2 x 976 ) / 976

= 2 / 976

= 2

So, Greatest Common Divisor of 724, 112, 326, 976 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 234, 922, 276, 604
• GCD of 817, 855, 114, 148
• GCD of 262, 258, 911, 867
• GCD of 214, 619, 437, 242
• GCD of 829, 272, 836, 301

Given numbers are 724, 112, 326, 976
The greatest common divisor of numbers 724, 112, 326, 976 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 112, 326, 976 is 2.

1. What is the GCD of 724, 112, 326, 976?

GCD of given numbers 724, 112, 326, 976 is 2

2. How to calculate the greatest common divisor of 724, 112, 326, 976?

We can find the highest common divisor of 724, 112, 326, 976 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, 112, 326, 976 i.e 2.

3. How can I use the GCD of 724, 112, 326, 976Calculator?

Out the numbers 724, 112, 326, 976 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.