GCD of 435, 264, 369, 255 Calculator

Given Input numbers are 435, 264, 369, 255

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

Divisors of 435 :

The positive integer divisors of 435 that completely divides 435 are.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 255 :

The positive integer divisors of 255 that completely divides 255 are.

1, 3, 5, 15, 17, 51, 85, 255

GCD of numbers is the greatest common divisor

So, the GCD (435, 264, 369, 255) = 3.

Given numbers are 435, 264, 369, 255

The list of prime factors of all numbers are

Prime factors of 435 are 3 x 5 x 29

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 369 are 3 x 3 x 41

Prime factors of 255 are 3 x 5 x 17

The highest common occurrence is 3¹

Therefore, GCD of 435, 264, 369, 255 is 3.

Given numbers are 435, 264, 369, 255

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

Apply this formula for all numbers.

Step1:

LCM(435, 264) = 38280

GCD(435, 264) = ( 435 x 264 ) / 38280

= 435 / 264

= 435

Step2:

LCM(3, 369) = 369

GCD(3, 369) = ( 3 x 369 ) / 369

= 3 / 369

= 3

Step3:

LCM(3, 255) = 255

GCD(3, 255) = ( 3 x 255 ) / 255

= 3 / 255

= 3

So, Greatest Common Divisor of 435, 264, 369, 255 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 661, 810, 335, 551
• GCD of 415, 276, 900, 625
• GCD of 779, 588, 396, 983
• GCD of 773, 119, 366, 951
• GCD of 475, 393, 169, 700

Given numbers are 435, 264, 369, 255
The greatest common divisor of numbers 435, 264, 369, 255 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 435, 264, 369, 255 is 3.

1. What is the GCD of 435, 264, 369, 255?

GCD of given numbers 435, 264, 369, 255 is 3

2. How to calculate the greatest common divisor of 435, 264, 369, 255?

We can find the highest common divisor of 435, 264, 369, 255 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 435, 264, 369, 255 i.e 3.

3. How can I use the GCD of 435, 264, 369, 255Calculator?

Out the numbers 435, 264, 369, 255 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.