GCD of 987, 395, 363, 456 Calculator

Given Input numbers are 987, 395, 363, 456

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 395 :

The positive integer divisors of 395 that completely divides 395 are.

1, 5, 79, 395

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

GCD of numbers is the greatest common divisor

So, the GCD (987, 395, 363, 456) = 1.

Given numbers are 987, 395, 363, 456

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 395 are 5 x 79

Prime factors of 363 are 3 x 11 x 11

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

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

Given numbers are 987, 395, 363, 456

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

Apply this formula for all numbers.

Step1:

LCM(987, 395) = 389865

GCD(987, 395) = ( 987 x 395 ) / 389865

= 987 / 395

= 987

Step2:

LCM(1, 363) = 363

GCD(1, 363) = ( 1 x 363 ) / 363

= 1 / 363

= 1

Step3:

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

= 1 / 456

= 1

So, Greatest Common Divisor of 987, 395, 363, 456 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 680, 637, 600, 571
• GCD of 400, 304, 942, 317
• GCD of 380, 908, 188, 958
• GCD of 305, 910, 291, 634
• GCD of 976, 331, 717, 726

Given numbers are 987, 395, 363, 456
The greatest common divisor of numbers 987, 395, 363, 456 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 395, 363, 456 is 1.

1. What is the GCD of 987, 395, 363, 456?

GCD of given numbers 987, 395, 363, 456 is 1

2. How to calculate the greatest common divisor of 987, 395, 363, 456?

We can find the highest common divisor of 987, 395, 363, 456 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, 395, 363, 456 i.e 1.

3. How can I use the GCD of 987, 395, 363, 456Calculator?

Out the numbers 987, 395, 363, 456 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.