GCD of 987, 315, 584, 841 Calculator

Given Input numbers are 987, 315, 584, 841

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 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 841 :

The positive integer divisors of 841 that completely divides 841 are.

1, 29, 841

GCD of numbers is the greatest common divisor

So, the GCD (987, 315, 584, 841) = 1.

Given numbers are 987, 315, 584, 841

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 841 are 29 x 29

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 987, 315, 584, 841

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

Apply this formula for all numbers.

Step1:

LCM(987, 315) = 14805

GCD(987, 315) = ( 987 x 315 ) / 14805

= 987 / 315

= 987

Step2:

LCM(21, 584) = 12264

GCD(21, 584) = ( 21 x 584 ) / 12264

= 21 / 584

= 21

Step3:

LCM(1, 841) = 841

GCD(1, 841) = ( 1 x 841 ) / 841

= 1 / 841

= 1

So, Greatest Common Divisor of 987, 315, 584, 841 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 316, 448, 319, 553
• GCD of 350, 456, 123, 296
• GCD of 170, 738, 274, 202
• GCD of 850, 465, 539, 589
• GCD of 862, 283, 702, 845

Given numbers are 987, 315, 584, 841
The greatest common divisor of numbers 987, 315, 584, 841 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 315, 584, 841 is 1.

1. What is the GCD of 987, 315, 584, 841?

GCD of given numbers 987, 315, 584, 841 is 1

2. How to calculate the greatest common divisor of 987, 315, 584, 841?

We can find the highest common divisor of 987, 315, 584, 841 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, 315, 584, 841 i.e 1.

3. How can I use the GCD of 987, 315, 584, 841Calculator?

Out the numbers 987, 315, 584, 841 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.