GCD of 987, 456, 348, 563 Calculator

Given Input numbers are 987, 456, 348, 563

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 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

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 563 :

The positive integer divisors of 563 that completely divides 563 are.

1, 563

GCD of numbers is the greatest common divisor

So, the GCD (987, 456, 348, 563) = 1.

Given numbers are 987, 456, 348, 563

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

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

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 563 are 563

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

Given numbers are 987, 456, 348, 563

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

Apply this formula for all numbers.

Step1:

LCM(987, 456) = 150024

GCD(987, 456) = ( 987 x 456 ) / 150024

= 987 / 456

= 987

Step2:

LCM(3, 348) = 348

GCD(3, 348) = ( 3 x 348 ) / 348

= 3 / 348

= 3

Step3:

LCM(3, 563) = 1689

GCD(3, 563) = ( 3 x 563 ) / 1689

= 3 / 563

= 3

So, Greatest Common Divisor of 987, 456, 348, 563 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 708, 539, 450, 103
• GCD of 397, 421, 934, 803
• GCD of 998, 812, 658, 314
• GCD of 400, 206, 163, 950
• GCD of 820, 429, 216, 183

Given numbers are 987, 456, 348, 563
The greatest common divisor of numbers 987, 456, 348, 563 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 456, 348, 563 is 1.

1. What is the GCD of 987, 456, 348, 563?

GCD of given numbers 987, 456, 348, 563 is 1

2. How to calculate the greatest common divisor of 987, 456, 348, 563?

We can find the highest common divisor of 987, 456, 348, 563 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, 456, 348, 563 i.e 1.

3. How can I use the GCD of 987, 456, 348, 563Calculator?

Out the numbers 987, 456, 348, 563 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.