GCD of 396, 542, 104, 976 Calculator

Given Input numbers are 396, 542, 104, 976

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

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

GCD of numbers is the greatest common divisor

So, the GCD (396, 542, 104, 976) = 2.

Given numbers are 396, 542, 104, 976

The list of prime factors of all numbers are

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 542 are 2 x 271

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

The highest common occurrence is 2¹

Therefore, GCD of 396, 542, 104, 976 is 2.

Given numbers are 396, 542, 104, 976

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

Apply this formula for all numbers.

Step1:

LCM(396, 542) = 107316

GCD(396, 542) = ( 396 x 542 ) / 107316

= 396 / 542

= 396

Step2:

LCM(2, 104) = 104

GCD(2, 104) = ( 2 x 104 ) / 104

= 2 / 104

= 2

Step3:

LCM(2, 976) = 976

GCD(2, 976) = ( 2 x 976 ) / 976

= 2 / 976

= 2

So, Greatest Common Divisor of 396, 542, 104, 976 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 412, 542, 307, 991
• GCD of 900, 133, 617, 429
• GCD of 200, 359, 787, 720
• GCD of 640, 160, 492, 328
• GCD of 955, 466, 518, 394

Given numbers are 396, 542, 104, 976
The greatest common divisor of numbers 396, 542, 104, 976 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 396, 542, 104, 976 is 2.

1. What is the GCD of 396, 542, 104, 976?

GCD of given numbers 396, 542, 104, 976 is 2

2. How to calculate the greatest common divisor of 396, 542, 104, 976?

We can find the highest common divisor of 396, 542, 104, 976 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 396, 542, 104, 976 i.e 2.

3. How can I use the GCD of 396, 542, 104, 976Calculator?

Out the numbers 396, 542, 104, 976 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.