GCD of 269, 225, 338, 323 Calculator

Given Input numbers are 269, 225, 338, 323

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

Divisors of 269 :

The positive integer divisors of 269 that completely divides 269 are.

1, 269

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 323 :

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

1, 17, 19, 323

GCD of numbers is the greatest common divisor

So, the GCD (269, 225, 338, 323) = 1.

Given numbers are 269, 225, 338, 323

The list of prime factors of all numbers are

Prime factors of 269 are 269

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 338 are 2 x 13 x 13

Prime factors of 323 are 17 x 19

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

Given numbers are 269, 225, 338, 323

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

Apply this formula for all numbers.

Step1:

LCM(269, 225) = 60525

GCD(269, 225) = ( 269 x 225 ) / 60525

= 269 / 225

= 269

Step2:

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

= 1 / 338

= 1

Step3:

LCM(1, 323) = 323

GCD(1, 323) = ( 1 x 323 ) / 323

= 1 / 323

= 1

So, Greatest Common Divisor of 269, 225, 338, 323 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 102, 374, 426, 533
• GCD of 910, 159, 985, 224
• GCD of 971, 983, 960, 813
• GCD of 118, 226, 777, 278
• GCD of 800, 989, 150, 775

Given numbers are 269, 225, 338, 323
The greatest common divisor of numbers 269, 225, 338, 323 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 269, 225, 338, 323 is 1.

1. What is the GCD of 269, 225, 338, 323?

GCD of given numbers 269, 225, 338, 323 is 1

2. How to calculate the greatest common divisor of 269, 225, 338, 323?

We can find the highest common divisor of 269, 225, 338, 323 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 269, 225, 338, 323 i.e 1.

3. How can I use the GCD of 269, 225, 338, 323Calculator?

Out the numbers 269, 225, 338, 323 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.