GCD of 538, 297, 308, 723 Calculator

Given Input numbers are 538, 297, 308, 723

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

Divisors of 538 :

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

1, 2, 269, 538

Divisors of 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

GCD of numbers is the greatest common divisor

So, the GCD (538, 297, 308, 723) = 1.

Given numbers are 538, 297, 308, 723

The list of prime factors of all numbers are

Prime factors of 538 are 2 x 269

Prime factors of 297 are 3 x 3 x 3 x 11

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 723 are 3 x 241

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

Given numbers are 538, 297, 308, 723

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

Apply this formula for all numbers.

Step1:

LCM(538, 297) = 159786

GCD(538, 297) = ( 538 x 297 ) / 159786

= 538 / 297

= 538

Step2:

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

= 1 / 308

= 1

Step3:

LCM(1, 723) = 723

GCD(1, 723) = ( 1 x 723 ) / 723

= 1 / 723

= 1

So, Greatest Common Divisor of 538, 297, 308, 723 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 725, 508, 306, 571
• GCD of 210, 807, 433, 415
• GCD of 506, 149, 318, 725
• GCD of 253, 587, 892, 737
• GCD of 720, 297, 814, 688

Given numbers are 538, 297, 308, 723
The greatest common divisor of numbers 538, 297, 308, 723 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 297, 308, 723 is 1.

1. What is the GCD of 538, 297, 308, 723?

GCD of given numbers 538, 297, 308, 723 is 1

2. How to calculate the greatest common divisor of 538, 297, 308, 723?

We can find the highest common divisor of 538, 297, 308, 723 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 538, 297, 308, 723 i.e 1.

3. How can I use the GCD of 538, 297, 308, 723Calculator?

Out the numbers 538, 297, 308, 723 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.