GCD of 432, 852, 270, 490 Calculator

Given Input numbers are 432, 852, 270, 490

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

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

GCD of numbers is the greatest common divisor

So, the GCD (432, 852, 270, 490) = 2.

Given numbers are 432, 852, 270, 490

The list of prime factors of all numbers are

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 490 are 2 x 5 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 432, 852, 270, 490 is 2.

Given numbers are 432, 852, 270, 490

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

Apply this formula for all numbers.

Step1:

LCM(432, 852) = 30672

GCD(432, 852) = ( 432 x 852 ) / 30672

= 432 / 852

= 432

Step2:

LCM(12, 270) = 540

GCD(12, 270) = ( 12 x 270 ) / 540

= 12 / 270

= 12

Step3:

LCM(6, 490) = 1470

GCD(6, 490) = ( 6 x 490 ) / 1470

= 6 / 490

= 6

So, Greatest Common Divisor of 432, 852, 270, 490 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 386, 742, 192, 926
• GCD of 478, 627, 775, 209
• GCD of 967, 398, 156, 366
• GCD of 921, 693, 162, 408
• GCD of 579, 627, 821, 435

Given numbers are 432, 852, 270, 490
The greatest common divisor of numbers 432, 852, 270, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 852, 270, 490 is 2.

1. What is the GCD of 432, 852, 270, 490?

GCD of given numbers 432, 852, 270, 490 is 2

2. How to calculate the greatest common divisor of 432, 852, 270, 490?

We can find the highest common divisor of 432, 852, 270, 490 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 432, 852, 270, 490 i.e 2.

3. How can I use the GCD of 432, 852, 270, 490Calculator?

Out the numbers 432, 852, 270, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.