GCD of 261, 269, 330, 354 Calculator

Given Input numbers are 261, 269, 330, 354

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

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

Divisors of 269 :

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

1, 269

Divisors of 330 :

The positive integer divisors of 330 that completely divides 330 are.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

GCD of numbers is the greatest common divisor

So, the GCD (261, 269, 330, 354) = 1.

Given numbers are 261, 269, 330, 354

The list of prime factors of all numbers are

Prime factors of 261 are 3 x 3 x 29

Prime factors of 269 are 269

Prime factors of 330 are 2 x 3 x 5 x 11

Prime factors of 354 are 2 x 3 x 59

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

Given numbers are 261, 269, 330, 354

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

Apply this formula for all numbers.

Step1:

LCM(261, 269) = 70209

GCD(261, 269) = ( 261 x 269 ) / 70209

= 261 / 269

= 261

Step2:

LCM(1, 330) = 330

GCD(1, 330) = ( 1 x 330 ) / 330

= 1 / 330

= 1

Step3:

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

= 1 / 354

= 1

So, Greatest Common Divisor of 261, 269, 330, 354 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 643, 530, 508, 498
• GCD of 380, 245, 530, 970
• GCD of 674, 972, 580, 948
• GCD of 228, 143, 734, 765
• GCD of 778, 355, 355, 860

Given numbers are 261, 269, 330, 354
The greatest common divisor of numbers 261, 269, 330, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 261, 269, 330, 354 is 1.

1. What is the GCD of 261, 269, 330, 354?

GCD of given numbers 261, 269, 330, 354 is 1

2. How to calculate the greatest common divisor of 261, 269, 330, 354?

We can find the highest common divisor of 261, 269, 330, 354 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 261, 269, 330, 354 i.e 1.

3. How can I use the GCD of 261, 269, 330, 354Calculator?

Out the numbers 261, 269, 330, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.