GCD of 867, 258, 987 Calculator

Given Input numbers are 867, 258, 987

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

Divisors of 867 :

The positive integer divisors of 867 that completely divides 867 are.

1, 3, 17, 51, 289, 867

Divisors of 258 :

The positive integer divisors of 258 that completely divides 258 are.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 987 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (867, 258, 987) = 3.

Given numbers are 867, 258, 987

The list of prime factors of all numbers are

Prime factors of 867 are 3 x 17 x 17

Prime factors of 258 are 2 x 3 x 43

Prime factors of 987 are 3 x 7 x 47

The highest common occurrence is 3¹

Therefore, GCD of 867, 258, 987 is 3.

Given numbers are 867, 258, 987

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

Apply this formula for all numbers.

Step1:

LCM(867, 258) = 74562

GCD(867, 258) = ( 867 x 258 ) / 74562

= 867 / 258

= 867

Step2:

LCM(3, 987) = 987

GCD(3, 987) = ( 3 x 987 ) / 987

= 3 / 987

= 3

So, Greatest Common Divisor of 867, 258, 987 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 856, 777, 853
• GCD of 166, 422, 965
• GCD of 924, 163, 238
• GCD of 100, 846, 897
• GCD of 132, 898, 288

Given numbers are 867, 258, 987
The greatest common divisor of numbers 867, 258, 987 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 867, 258, 987 is 3.

1. What is the GCD of 867, 258, 987?

GCD of given numbers 867, 258, 987 is 3

2. How to calculate the greatest common divisor of 867, 258, 987?

We can find the highest common divisor of 867, 258, 987 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 867, 258, 987 i.e 3.

3. How can I use the GCD of 867, 258, 987Calculator?

Out the numbers 867, 258, 987 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.