GCD of 987, 595, 231, 455 Calculator

Given Input numbers are 987, 595, 231, 455

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 595 :

The positive integer divisors of 595 that completely divides 595 are.

1, 5, 7, 17, 35, 85, 119, 595

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 455 :

The positive integer divisors of 455 that completely divides 455 are.

1, 5, 7, 13, 35, 65, 91, 455

GCD of numbers is the greatest common divisor

So, the GCD (987, 595, 231, 455) = 7.

Given numbers are 987, 595, 231, 455

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 595 are 5 x 7 x 17

Prime factors of 231 are 3 x 7 x 11

Prime factors of 455 are 5 x 7 x 13

The highest common occurrence is 7¹

Therefore, GCD of 987, 595, 231, 455 is 7.

Given numbers are 987, 595, 231, 455

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

Apply this formula for all numbers.

Step1:

LCM(987, 595) = 83895

GCD(987, 595) = ( 987 x 595 ) / 83895

= 987 / 595

= 987

Step2:

LCM(7, 231) = 231

GCD(7, 231) = ( 7 x 231 ) / 231

= 7 / 231

= 7

Step3:

LCM(7, 455) = 455

GCD(7, 455) = ( 7 x 455 ) / 455

= 7 / 455

= 7

So, Greatest Common Divisor of 987, 595, 231, 455 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 332, 839, 228, 737
• GCD of 965, 673, 494, 419
• GCD of 493, 962, 731, 112
• GCD of 435, 403, 830, 538
• GCD of 802, 520, 451, 589

Given numbers are 987, 595, 231, 455
The greatest common divisor of numbers 987, 595, 231, 455 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 595, 231, 455 is 7.

1. What is the GCD of 987, 595, 231, 455?

GCD of given numbers 987, 595, 231, 455 is 7

2. How to calculate the greatest common divisor of 987, 595, 231, 455?

We can find the highest common divisor of 987, 595, 231, 455 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, 595, 231, 455 i.e 7.

3. How can I use the GCD of 987, 595, 231, 455Calculator?

Out the numbers 987, 595, 231, 455 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.