GCD of 305, 300, 858, 684 Calculator

Given Input numbers are 305, 300, 858, 684

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

Divisors of 305 :

The positive integer divisors of 305 that completely divides 305 are.

1, 5, 61, 305

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 858 :

The positive integer divisors of 858 that completely divides 858 are.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

GCD of numbers is the greatest common divisor

So, the GCD (305, 300, 858, 684) = 1.

Given numbers are 305, 300, 858, 684

The list of prime factors of all numbers are

Prime factors of 305 are 5 x 61

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 858 are 2 x 3 x 11 x 13

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

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

Given numbers are 305, 300, 858, 684

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

Apply this formula for all numbers.

Step1:

LCM(305, 300) = 18300

GCD(305, 300) = ( 305 x 300 ) / 18300

= 305 / 300

= 305

Step2:

LCM(5, 858) = 4290

GCD(5, 858) = ( 5 x 858 ) / 4290

= 5 / 858

= 5

Step3:

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

= 1 / 684

= 1

So, Greatest Common Divisor of 305, 300, 858, 684 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 148, 347, 671, 838
• GCD of 778, 302, 294, 844
• GCD of 125, 423, 249, 659
• GCD of 906, 641, 119, 432
• GCD of 234, 466, 321, 314

Given numbers are 305, 300, 858, 684
The greatest common divisor of numbers 305, 300, 858, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 305, 300, 858, 684 is 1.

1. What is the GCD of 305, 300, 858, 684?

GCD of given numbers 305, 300, 858, 684 is 1

2. How to calculate the greatest common divisor of 305, 300, 858, 684?

We can find the highest common divisor of 305, 300, 858, 684 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 305, 300, 858, 684 i.e 1.

3. How can I use the GCD of 305, 300, 858, 684Calculator?

Out the numbers 305, 300, 858, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.