GCD of 987, 927, 870, 717 Calculator

Given Input numbers are 987, 927, 870, 717

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 927 :

The positive integer divisors of 927 that completely divides 927 are.

1, 3, 9, 103, 309, 927

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 717 :

The positive integer divisors of 717 that completely divides 717 are.

1, 3, 239, 717

GCD of numbers is the greatest common divisor

So, the GCD (987, 927, 870, 717) = 3.

Given numbers are 987, 927, 870, 717

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 927 are 3 x 3 x 103

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 717 are 3 x 239

The highest common occurrence is 3¹

Therefore, GCD of 987, 927, 870, 717 is 3.

Given numbers are 987, 927, 870, 717

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

Apply this formula for all numbers.

Step1:

LCM(987, 927) = 304983

GCD(987, 927) = ( 987 x 927 ) / 304983

= 987 / 927

= 987

Step2:

LCM(3, 870) = 870

GCD(3, 870) = ( 3 x 870 ) / 870

= 3 / 870

= 3

Step3:

LCM(3, 717) = 717

GCD(3, 717) = ( 3 x 717 ) / 717

= 3 / 717

= 3

So, Greatest Common Divisor of 987, 927, 870, 717 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 712, 916, 510, 929
• GCD of 531, 229, 777, 239
• GCD of 945, 679, 749, 458
• GCD of 250, 316, 570, 520
• GCD of 682, 425, 585, 104

Given numbers are 987, 927, 870, 717
The greatest common divisor of numbers 987, 927, 870, 717 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 927, 870, 717 is 3.

1. What is the GCD of 987, 927, 870, 717?

GCD of given numbers 987, 927, 870, 717 is 3

2. How to calculate the greatest common divisor of 987, 927, 870, 717?

We can find the highest common divisor of 987, 927, 870, 717 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, 927, 870, 717 i.e 3.

3. How can I use the GCD of 987, 927, 870, 717Calculator?

Out the numbers 987, 927, 870, 717 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.