GCD of 987, 897, 345, 309 Calculator

Given Input numbers are 987, 897, 345, 309

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 897 :

The positive integer divisors of 897 that completely divides 897 are.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

GCD of numbers is the greatest common divisor

So, the GCD (987, 897, 345, 309) = 3.

Given numbers are 987, 897, 345, 309

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 897 are 3 x 13 x 23

Prime factors of 345 are 3 x 5 x 23

Prime factors of 309 are 3 x 103

The highest common occurrence is 3¹

Therefore, GCD of 987, 897, 345, 309 is 3.

Given numbers are 987, 897, 345, 309

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

Apply this formula for all numbers.

Step1:

LCM(987, 897) = 295113

GCD(987, 897) = ( 987 x 897 ) / 295113

= 987 / 897

= 987

Step2:

LCM(3, 345) = 345

GCD(3, 345) = ( 3 x 345 ) / 345

= 3 / 345

= 3

Step3:

LCM(3, 309) = 309

GCD(3, 309) = ( 3 x 309 ) / 309

= 3 / 309

= 3

So, Greatest Common Divisor of 987, 897, 345, 309 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 136, 608, 815, 783
• GCD of 619, 898, 782, 310
• GCD of 998, 643, 281, 788
• GCD of 809, 134, 945, 926
• GCD of 568, 222, 721, 574

Given numbers are 987, 897, 345, 309
The greatest common divisor of numbers 987, 897, 345, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 897, 345, 309 is 3.

1. What is the GCD of 987, 897, 345, 309?

GCD of given numbers 987, 897, 345, 309 is 3

2. How to calculate the greatest common divisor of 987, 897, 345, 309?

We can find the highest common divisor of 987, 897, 345, 309 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, 897, 345, 309 i.e 3.

3. How can I use the GCD of 987, 897, 345, 309Calculator?

Out the numbers 987, 897, 345, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.