GCD of 987, 396, 509, 176 Calculator

Given Input numbers are 987, 396, 509, 176

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

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

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 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 176 :

The positive integer divisors of 176 that completely divides 176 are.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

GCD of numbers is the greatest common divisor

So, the GCD (987, 396, 509, 176) = 1.

Given numbers are 987, 396, 509, 176

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

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

Prime factors of 509 are 509

Prime factors of 176 are 2 x 2 x 2 x 2 x 11

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 987, 396, 509, 176

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

Apply this formula for all numbers.

Step1:

LCM(987, 396) = 130284

GCD(987, 396) = ( 987 x 396 ) / 130284

= 987 / 396

= 987

Step2:

LCM(3, 509) = 1527

GCD(3, 509) = ( 3 x 509 ) / 1527

= 3 / 509

= 3

Step3:

LCM(1, 176) = 176

GCD(1, 176) = ( 1 x 176 ) / 176

= 1 / 176

= 1

So, Greatest Common Divisor of 987, 396, 509, 176 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 576, 359, 281, 918
• GCD of 139, 841, 374, 380
• GCD of 593, 312, 406, 785
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• GCD of 168, 223, 587, 935

Given numbers are 987, 396, 509, 176
The greatest common divisor of numbers 987, 396, 509, 176 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 396, 509, 176 is 1.

1. What is the GCD of 987, 396, 509, 176?

GCD of given numbers 987, 396, 509, 176 is 1

2. How to calculate the greatest common divisor of 987, 396, 509, 176?

We can find the highest common divisor of 987, 396, 509, 176 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 987, 396, 509, 176 i.e 1.

3. How can I use the GCD of 987, 396, 509, 176Calculator?

Out the numbers 987, 396, 509, 176 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.