GCD of 400, 884, 616, 232 Calculator

Given Input numbers are 400, 884, 616, 232

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

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

Divisors of 884 :

The positive integer divisors of 884 that completely divides 884 are.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 232 :

The positive integer divisors of 232 that completely divides 232 are.

1, 2, 4, 8, 29, 58, 116, 232

GCD of numbers is the greatest common divisor

So, the GCD (400, 884, 616, 232) = 4.

Given numbers are 400, 884, 616, 232

The list of prime factors of all numbers are

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

Prime factors of 884 are 2 x 2 x 13 x 17

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 232 are 2 x 2 x 2 x 29

The highest common occurrence is 2²

Therefore, GCD of 400, 884, 616, 232 is 4.

Given numbers are 400, 884, 616, 232

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

Apply this formula for all numbers.

Step1:

LCM(400, 884) = 88400

GCD(400, 884) = ( 400 x 884 ) / 88400

= 400 / 884

= 400

Step2:

LCM(4, 616) = 616

GCD(4, 616) = ( 4 x 616 ) / 616

= 4 / 616

= 4

Step3:

LCM(4, 232) = 232

GCD(4, 232) = ( 4 x 232 ) / 232

= 4 / 232

= 4

So, Greatest Common Divisor of 400, 884, 616, 232 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 110, 236, 690, 777
• GCD of 307, 589, 622, 994
• GCD of 161, 558, 894, 899
• GCD of 909, 661, 959, 770
• GCD of 674, 767, 397, 943

Given numbers are 400, 884, 616, 232
The greatest common divisor of numbers 400, 884, 616, 232 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 884, 616, 232 is 4.

1. What is the GCD of 400, 884, 616, 232?

GCD of given numbers 400, 884, 616, 232 is 4

2. How to calculate the greatest common divisor of 400, 884, 616, 232?

We can find the highest common divisor of 400, 884, 616, 232 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 400, 884, 616, 232 i.e 4.

3. How can I use the GCD of 400, 884, 616, 232Calculator?

Out the numbers 400, 884, 616, 232 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.