GCD of 987, 573, 213, 993 Calculator

Given Input numbers are 987, 573, 213, 993

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 573 :

The positive integer divisors of 573 that completely divides 573 are.

1, 3, 191, 573

Divisors of 213 :

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

1, 3, 71, 213

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

GCD of numbers is the greatest common divisor

So, the GCD (987, 573, 213, 993) = 3.

Given numbers are 987, 573, 213, 993

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 573 are 3 x 191

Prime factors of 213 are 3 x 71

Prime factors of 993 are 3 x 331

The highest common occurrence is 3¹

Therefore, GCD of 987, 573, 213, 993 is 3.

Given numbers are 987, 573, 213, 993

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

Apply this formula for all numbers.

Step1:

LCM(987, 573) = 188517

GCD(987, 573) = ( 987 x 573 ) / 188517

= 987 / 573

= 987

Step2:

LCM(3, 213) = 213

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

= 3 / 213

= 3

Step3:

LCM(3, 993) = 993

GCD(3, 993) = ( 3 x 993 ) / 993

= 3 / 993

= 3

So, Greatest Common Divisor of 987, 573, 213, 993 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 885, 796, 457, 153
• GCD of 505, 786, 931, 916
• GCD of 410, 793, 531, 218
• GCD of 538, 140, 450, 962
• GCD of 153, 879, 561, 196

Given numbers are 987, 573, 213, 993
The greatest common divisor of numbers 987, 573, 213, 993 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 573, 213, 993 is 3.

1. What is the GCD of 987, 573, 213, 993?

GCD of given numbers 987, 573, 213, 993 is 3

2. How to calculate the greatest common divisor of 987, 573, 213, 993?

We can find the highest common divisor of 987, 573, 213, 993 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, 573, 213, 993 i.e 3.

3. How can I use the GCD of 987, 573, 213, 993Calculator?

Out the numbers 987, 573, 213, 993 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.