GCD of 987, 423, 518, 812 Calculator

Given Input numbers are 987, 423, 518, 812

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 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

Divisors of 518 :

The positive integer divisors of 518 that completely divides 518 are.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 812 :

The positive integer divisors of 812 that completely divides 812 are.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

GCD of numbers is the greatest common divisor

So, the GCD (987, 423, 518, 812) = 1.

Given numbers are 987, 423, 518, 812

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 423 are 3 x 3 x 47

Prime factors of 518 are 2 x 7 x 37

Prime factors of 812 are 2 x 2 x 7 x 29

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

Given numbers are 987, 423, 518, 812

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

Apply this formula for all numbers.

Step1:

LCM(987, 423) = 2961

GCD(987, 423) = ( 987 x 423 ) / 2961

= 987 / 423

= 987

Step2:

LCM(141, 518) = 73038

GCD(141, 518) = ( 141 x 518 ) / 73038

= 141 / 518

= 141

Step3:

LCM(1, 812) = 812

GCD(1, 812) = ( 1 x 812 ) / 812

= 1 / 812

= 1

So, Greatest Common Divisor of 987, 423, 518, 812 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 738, 957, 654, 896
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Given numbers are 987, 423, 518, 812
The greatest common divisor of numbers 987, 423, 518, 812 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 423, 518, 812 is 1.

1. What is the GCD of 987, 423, 518, 812?

GCD of given numbers 987, 423, 518, 812 is 1

2. How to calculate the greatest common divisor of 987, 423, 518, 812?

We can find the highest common divisor of 987, 423, 518, 812 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, 423, 518, 812 i.e 1.

3. How can I use the GCD of 987, 423, 518, 812Calculator?

Out the numbers 987, 423, 518, 812 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.