GCD of 323, 221, 938, 748 Calculator

Given Input numbers are 323, 221, 938, 748

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

Divisors of 323 :

The positive integer divisors of 323 that completely divides 323 are.

1, 17, 19, 323

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

GCD of numbers is the greatest common divisor

So, the GCD (323, 221, 938, 748) = 1.

Given numbers are 323, 221, 938, 748

The list of prime factors of all numbers are

Prime factors of 323 are 17 x 19

Prime factors of 221 are 13 x 17

Prime factors of 938 are 2 x 7 x 67

Prime factors of 748 are 2 x 2 x 11 x 17

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

Given numbers are 323, 221, 938, 748

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

Apply this formula for all numbers.

Step1:

LCM(323, 221) = 4199

GCD(323, 221) = ( 323 x 221 ) / 4199

= 323 / 221

= 323

Step2:

LCM(17, 938) = 15946

GCD(17, 938) = ( 17 x 938 ) / 15946

= 17 / 938

= 17

Step3:

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

= 1 / 748

= 1

So, Greatest Common Divisor of 323, 221, 938, 748 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 910, 545, 166, 618
• GCD of 317, 839, 559, 652
• GCD of 109, 511, 116, 266
• GCD of 952, 225, 704, 145
• GCD of 542, 193, 501, 845

Given numbers are 323, 221, 938, 748
The greatest common divisor of numbers 323, 221, 938, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 323, 221, 938, 748 is 1.

1. What is the GCD of 323, 221, 938, 748?

GCD of given numbers 323, 221, 938, 748 is 1

2. How to calculate the greatest common divisor of 323, 221, 938, 748?

We can find the highest common divisor of 323, 221, 938, 748 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 323, 221, 938, 748 i.e 1.

3. How can I use the GCD of 323, 221, 938, 748Calculator?

Out the numbers 323, 221, 938, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.