GCD of 452, 740, 404, 432 Calculator

Given Input numbers are 452, 740, 404, 432

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

Divisors of 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

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

GCD of numbers is the greatest common divisor

So, the GCD (452, 740, 404, 432) = 4.

Given numbers are 452, 740, 404, 432

The list of prime factors of all numbers are

Prime factors of 452 are 2 x 2 x 113

Prime factors of 740 are 2 x 2 x 5 x 37

Prime factors of 404 are 2 x 2 x 101

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

The highest common occurrence is 2²

Therefore, GCD of 452, 740, 404, 432 is 4.

Given numbers are 452, 740, 404, 432

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

Apply this formula for all numbers.

Step1:

LCM(452, 740) = 83620

GCD(452, 740) = ( 452 x 740 ) / 83620

= 452 / 740

= 452

Step2:

LCM(4, 404) = 404

GCD(4, 404) = ( 4 x 404 ) / 404

= 4 / 404

= 4

Step3:

LCM(4, 432) = 432

GCD(4, 432) = ( 4 x 432 ) / 432

= 4 / 432

= 4

So, Greatest Common Divisor of 452, 740, 404, 432 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 235, 860, 745, 697
• GCD of 759, 147, 100, 705
• GCD of 664, 647, 165, 513
• GCD of 376, 730, 659, 520
• GCD of 986, 812, 542, 424

Given numbers are 452, 740, 404, 432
The greatest common divisor of numbers 452, 740, 404, 432 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 452, 740, 404, 432 is 4.

1. What is the GCD of 452, 740, 404, 432?

GCD of given numbers 452, 740, 404, 432 is 4

2. How to calculate the greatest common divisor of 452, 740, 404, 432?

We can find the highest common divisor of 452, 740, 404, 432 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 452, 740, 404, 432 i.e 4.

3. How can I use the GCD of 452, 740, 404, 432Calculator?

Out the numbers 452, 740, 404, 432 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.