GCD of 987, 111, 213, 171 Calculator

Given Input numbers are 987, 111, 213, 171

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 111 :

The positive integer divisors of 111 that completely divides 111 are.

1, 3, 37, 111

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

GCD of numbers is the greatest common divisor

So, the GCD (987, 111, 213, 171) = 3.

Given numbers are 987, 111, 213, 171

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 111 are 3 x 37

Prime factors of 213 are 3 x 71

Prime factors of 171 are 3 x 3 x 19

The highest common occurrence is 3¹

Therefore, GCD of 987, 111, 213, 171 is 3.

Given numbers are 987, 111, 213, 171

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

Apply this formula for all numbers.

Step1:

LCM(987, 111) = 36519

GCD(987, 111) = ( 987 x 111 ) / 36519

= 987 / 111

= 987

Step2:

LCM(3, 213) = 213

GCD(3, 213) = ( 3 x 213 ) / 213

= 3 / 213

= 3

Step3:

LCM(3, 171) = 171

GCD(3, 171) = ( 3 x 171 ) / 171

= 3 / 171

= 3

So, Greatest Common Divisor of 987, 111, 213, 171 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 793, 295, 376, 184
• GCD of 323, 949, 901, 323
• GCD of 164, 550, 749, 376
• GCD of 616, 433, 634, 127
• GCD of 391, 646, 414, 467

Given numbers are 987, 111, 213, 171
The greatest common divisor of numbers 987, 111, 213, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 111, 213, 171 is 3.

1. What is the GCD of 987, 111, 213, 171?

GCD of given numbers 987, 111, 213, 171 is 3

2. How to calculate the greatest common divisor of 987, 111, 213, 171?

We can find the highest common divisor of 987, 111, 213, 171 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, 111, 213, 171 i.e 3.

3. How can I use the GCD of 987, 111, 213, 171Calculator?

Out the numbers 987, 111, 213, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.