GCD of 105, 588, 369, 287 Calculator

Given Input numbers are 105, 588, 369, 287

In the factoring method, we have to find the divisors of all numbers

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 287 :

The positive integer divisors of 287 that completely divides 287 are.

1, 7, 41, 287

GCD of numbers is the greatest common divisor

So, the GCD (105, 588, 369, 287) = 1.

Given numbers are 105, 588, 369, 287

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 369 are 3 x 3 x 41

Prime factors of 287 are 7 x 41

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

Given numbers are 105, 588, 369, 287

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

Apply this formula for all numbers.

Step1:

LCM(105, 588) = 2940

GCD(105, 588) = ( 105 x 588 ) / 2940

= 105 / 588

= 105

Step2:

LCM(21, 369) = 2583

GCD(21, 369) = ( 21 x 369 ) / 2583

= 21 / 369

= 21

Step3:

LCM(3, 287) = 861

GCD(3, 287) = ( 3 x 287 ) / 861

= 3 / 287

= 3

So, Greatest Common Divisor of 105, 588, 369, 287 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 693, 324, 198, 605
• GCD of 117, 984, 478, 299
• GCD of 339, 201, 725, 561
• GCD of 179, 760, 972, 418
• GCD of 876, 333, 875, 197

Given numbers are 105, 588, 369, 287
The greatest common divisor of numbers 105, 588, 369, 287 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 588, 369, 287 is 1.

1. What is the GCD of 105, 588, 369, 287?

GCD of given numbers 105, 588, 369, 287 is 1

2. How to calculate the greatest common divisor of 105, 588, 369, 287?

We can find the highest common divisor of 105, 588, 369, 287 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 105, 588, 369, 287 i.e 1.

3. How can I use the GCD of 105, 588, 369, 287Calculator?

Out the numbers 105, 588, 369, 287 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.