GCD of 269, 342, 304, 423 Calculator

Given Input numbers are 269, 342, 304, 423

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 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

GCD of numbers is the greatest common divisor

So, the GCD (269, 342, 304, 423) = 1.

Given numbers are 269, 342, 304, 423

The list of prime factors of all numbers are

Prime factors of 269 are 269

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 423 are 3 x 3 x 47

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

Given numbers are 269, 342, 304, 423

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

Apply this formula for all numbers.

Step1:

LCM(269, 342) = 91998

GCD(269, 342) = ( 269 x 342 ) / 91998

= 269 / 342

= 269

Step2:

LCM(1, 304) = 304

GCD(1, 304) = ( 1 x 304 ) / 304

= 1 / 304

= 1

Step3:

LCM(1, 423) = 423

GCD(1, 423) = ( 1 x 423 ) / 423

= 1 / 423

= 1

So, Greatest Common Divisor of 269, 342, 304, 423 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 975, 513, 892, 498
• GCD of 182, 353, 295, 592
• GCD of 449, 843, 822, 779
• GCD of 149, 467, 623, 672
• GCD of 581, 994, 466, 670

Given numbers are 269, 342, 304, 423
The greatest common divisor of numbers 269, 342, 304, 423 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 269, 342, 304, 423 is 1.

1. What is the GCD of 269, 342, 304, 423?

GCD of given numbers 269, 342, 304, 423 is 1

2. How to calculate the greatest common divisor of 269, 342, 304, 423?

We can find the highest common divisor of 269, 342, 304, 423 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, 342, 304, 423 i.e 1.

3. How can I use the GCD of 269, 342, 304, 423Calculator?

Out the numbers 269, 342, 304, 423 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.