GCD of 732, 588, 484, 400 Calculator

Given Input numbers are 732, 588, 484, 400

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

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

GCD of numbers is the greatest common divisor

So, the GCD (732, 588, 484, 400) = 4.

Given numbers are 732, 588, 484, 400

The list of prime factors of all numbers are

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 484 are 2 x 2 x 11 x 11

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

The highest common occurrence is 2²

Therefore, GCD of 732, 588, 484, 400 is 4.

Given numbers are 732, 588, 484, 400

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

Apply this formula for all numbers.

Step1:

LCM(732, 588) = 35868

GCD(732, 588) = ( 732 x 588 ) / 35868

= 732 / 588

= 732

Step2:

LCM(12, 484) = 1452

GCD(12, 484) = ( 12 x 484 ) / 1452

= 12 / 484

= 12

Step3:

LCM(4, 400) = 400

GCD(4, 400) = ( 4 x 400 ) / 400

= 4 / 400

= 4

So, Greatest Common Divisor of 732, 588, 484, 400 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 574, 635, 432, 607
• GCD of 264, 144, 205, 727
• GCD of 615, 681, 687, 418
• GCD of 959, 128, 847, 362
• GCD of 475, 698, 395, 528

Given numbers are 732, 588, 484, 400
The greatest common divisor of numbers 732, 588, 484, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 732, 588, 484, 400 is 4.

1. What is the GCD of 732, 588, 484, 400?

GCD of given numbers 732, 588, 484, 400 is 4

2. How to calculate the greatest common divisor of 732, 588, 484, 400?

We can find the highest common divisor of 732, 588, 484, 400 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 732, 588, 484, 400 i.e 4.

3. How can I use the GCD of 732, 588, 484, 400Calculator?

Out the numbers 732, 588, 484, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.