GCD of 996, 552, 975, 408 Calculator

Given Input numbers are 996, 552, 975, 408

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

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

GCD of numbers is the greatest common divisor

So, the GCD (996, 552, 975, 408) = 3.

Given numbers are 996, 552, 975, 408

The list of prime factors of all numbers are

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 996, 552, 975, 408 is 3.

Given numbers are 996, 552, 975, 408

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

Apply this formula for all numbers.

Step1:

LCM(996, 552) = 45816

GCD(996, 552) = ( 996 x 552 ) / 45816

= 996 / 552

= 996

Step2:

LCM(12, 975) = 3900

GCD(12, 975) = ( 12 x 975 ) / 3900

= 12 / 975

= 12

Step3:

LCM(3, 408) = 408

GCD(3, 408) = ( 3 x 408 ) / 408

= 3 / 408

= 3

So, Greatest Common Divisor of 996, 552, 975, 408 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 509, 283, 577, 353
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• GCD of 203, 622, 371, 241
• GCD of 879, 420, 589, 683
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Given numbers are 996, 552, 975, 408
The greatest common divisor of numbers 996, 552, 975, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 552, 975, 408 is 3.

1. What is the GCD of 996, 552, 975, 408?

GCD of given numbers 996, 552, 975, 408 is 3

2. How to calculate the greatest common divisor of 996, 552, 975, 408?

We can find the highest common divisor of 996, 552, 975, 408 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 996, 552, 975, 408 i.e 3.

3. How can I use the GCD of 996, 552, 975, 408Calculator?

Out the numbers 996, 552, 975, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.