GCD of 435, 576, 474, 156 Calculator

Given Input numbers are 435, 576, 474, 156

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 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

GCD of numbers is the greatest common divisor

So, the GCD (435, 576, 474, 156) = 3.

Given numbers are 435, 576, 474, 156

The list of prime factors of all numbers are

Prime factors of 435 are 3 x 5 x 29

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 474 are 2 x 3 x 79

Prime factors of 156 are 2 x 2 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 435, 576, 474, 156 is 3.

Given numbers are 435, 576, 474, 156

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

Apply this formula for all numbers.

Step1:

LCM(435, 576) = 83520

GCD(435, 576) = ( 435 x 576 ) / 83520

= 435 / 576

= 435

Step2:

LCM(3, 474) = 474

GCD(3, 474) = ( 3 x 474 ) / 474

= 3 / 474

= 3

Step3:

LCM(3, 156) = 156

GCD(3, 156) = ( 3 x 156 ) / 156

= 3 / 156

= 3

So, Greatest Common Divisor of 435, 576, 474, 156 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 460, 312, 822, 770
• GCD of 369, 687, 316, 643
• GCD of 942, 748, 517, 329
• GCD of 493, 826, 309, 937
• GCD of 952, 356, 424, 911

Given numbers are 435, 576, 474, 156
The greatest common divisor of numbers 435, 576, 474, 156 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 435, 576, 474, 156 is 3.

1. What is the GCD of 435, 576, 474, 156?

GCD of given numbers 435, 576, 474, 156 is 3

2. How to calculate the greatest common divisor of 435, 576, 474, 156?

We can find the highest common divisor of 435, 576, 474, 156 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, 576, 474, 156 i.e 3.

3. How can I use the GCD of 435, 576, 474, 156Calculator?

Out the numbers 435, 576, 474, 156 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.