GCD of 435, 132, 249, 441 Calculator

Given Input numbers are 435, 132, 249, 441

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 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

Divisors of 441 :

The positive integer divisors of 441 that completely divides 441 are.

1, 3, 7, 9, 21, 49, 63, 147, 441

GCD of numbers is the greatest common divisor

So, the GCD (435, 132, 249, 441) = 3.

Given numbers are 435, 132, 249, 441

The list of prime factors of all numbers are

Prime factors of 435 are 3 x 5 x 29

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 249 are 3 x 83

Prime factors of 441 are 3 x 3 x 7 x 7

The highest common occurrence is 3¹

Therefore, GCD of 435, 132, 249, 441 is 3.

Given numbers are 435, 132, 249, 441

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

Apply this formula for all numbers.

Step1:

LCM(435, 132) = 19140

GCD(435, 132) = ( 435 x 132 ) / 19140

= 435 / 132

= 435

Step2:

LCM(3, 249) = 249

GCD(3, 249) = ( 3 x 249 ) / 249

= 3 / 249

= 3

Step3:

LCM(3, 441) = 441

GCD(3, 441) = ( 3 x 441 ) / 441

= 3 / 441

= 3

So, Greatest Common Divisor of 435, 132, 249, 441 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 172, 584, 565, 717
• GCD of 541, 634, 188, 970
• GCD of 896, 909, 934, 835
• GCD of 189, 839, 976, 545
• GCD of 462, 903, 142, 172

Given numbers are 435, 132, 249, 441
The greatest common divisor of numbers 435, 132, 249, 441 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 435, 132, 249, 441 is 3.

1. What is the GCD of 435, 132, 249, 441?

GCD of given numbers 435, 132, 249, 441 is 3

2. How to calculate the greatest common divisor of 435, 132, 249, 441?

We can find the highest common divisor of 435, 132, 249, 441 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, 132, 249, 441 i.e 3.

3. How can I use the GCD of 435, 132, 249, 441Calculator?

Out the numbers 435, 132, 249, 441 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.