GCD of 400, 654, 532, 916 Calculator

Given Input numbers are 400, 654, 532, 916

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 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 532 :

The positive integer divisors of 532 that completely divides 532 are.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

GCD of numbers is the greatest common divisor

So, the GCD (400, 654, 532, 916) = 2.

Given numbers are 400, 654, 532, 916

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 654 are 2 x 3 x 109

Prime factors of 532 are 2 x 2 x 7 x 19

Prime factors of 916 are 2 x 2 x 229

The highest common occurrence is 2¹

Therefore, GCD of 400, 654, 532, 916 is 2.

Given numbers are 400, 654, 532, 916

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

Apply this formula for all numbers.

Step1:

LCM(400, 654) = 130800

GCD(400, 654) = ( 400 x 654 ) / 130800

= 400 / 654

= 400

Step2:

LCM(2, 532) = 532

GCD(2, 532) = ( 2 x 532 ) / 532

= 2 / 532

= 2

Step3:

LCM(2, 916) = 916

GCD(2, 916) = ( 2 x 916 ) / 916

= 2 / 916

= 2

So, Greatest Common Divisor of 400, 654, 532, 916 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 187, 180, 793, 689
• GCD of 704, 897, 727, 258
• GCD of 244, 387, 351, 722
• GCD of 499, 347, 523, 551
• GCD of 711, 949, 768, 667

Given numbers are 400, 654, 532, 916
The greatest common divisor of numbers 400, 654, 532, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 654, 532, 916 is 2.

1. What is the GCD of 400, 654, 532, 916?

GCD of given numbers 400, 654, 532, 916 is 2

2. How to calculate the greatest common divisor of 400, 654, 532, 916?

We can find the highest common divisor of 400, 654, 532, 916 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, 654, 532, 916 i.e 2.

3. How can I use the GCD of 400, 654, 532, 916Calculator?

Out the numbers 400, 654, 532, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.