GCD of 824, 712, 733, 538 Calculator

Given Input numbers are 824, 712, 733, 538

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

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 733 :

The positive integer divisors of 733 that completely divides 733 are.

1, 733

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

GCD of numbers is the greatest common divisor

So, the GCD (824, 712, 733, 538) = 1.

Given numbers are 824, 712, 733, 538

The list of prime factors of all numbers are

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 733 are 733

Prime factors of 538 are 2 x 269

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 824, 712, 733, 538

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

Apply this formula for all numbers.

Step1:

LCM(824, 712) = 73336

GCD(824, 712) = ( 824 x 712 ) / 73336

= 824 / 712

= 824

Step2:

LCM(8, 733) = 5864

GCD(8, 733) = ( 8 x 733 ) / 5864

= 8 / 733

= 8

Step3:

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

= 1 / 538

= 1

So, Greatest Common Divisor of 824, 712, 733, 538 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 615, 465, 429, 754
• GCD of 383, 152, 754, 607
• GCD of 198, 798, 418, 113
• GCD of 798, 305, 856, 527
• GCD of 291, 309, 201, 759

Given numbers are 824, 712, 733, 538
The greatest common divisor of numbers 824, 712, 733, 538 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 712, 733, 538 is 1.

1. What is the GCD of 824, 712, 733, 538?

GCD of given numbers 824, 712, 733, 538 is 1

2. How to calculate the greatest common divisor of 824, 712, 733, 538?

We can find the highest common divisor of 824, 712, 733, 538 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 824, 712, 733, 538 i.e 1.

3. How can I use the GCD of 824, 712, 733, 538Calculator?

Out the numbers 824, 712, 733, 538 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.