GCD of 300, 856, 274, 960 Calculator

Given Input numbers are 300, 856, 274, 960

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

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 856 :

The positive integer divisors of 856 that completely divides 856 are.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

GCD of numbers is the greatest common divisor

So, the GCD (300, 856, 274, 960) = 2.

Given numbers are 300, 856, 274, 960

The list of prime factors of all numbers are

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

Prime factors of 856 are 2 x 2 x 2 x 107

Prime factors of 274 are 2 x 137

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 300, 856, 274, 960 is 2.

Given numbers are 300, 856, 274, 960

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

Apply this formula for all numbers.

Step1:

LCM(300, 856) = 64200

GCD(300, 856) = ( 300 x 856 ) / 64200

= 300 / 856

= 300

Step2:

LCM(4, 274) = 548

GCD(4, 274) = ( 4 x 274 ) / 548

= 4 / 274

= 4

Step3:

LCM(2, 960) = 960

GCD(2, 960) = ( 2 x 960 ) / 960

= 2 / 960

= 2

So, Greatest Common Divisor of 300, 856, 274, 960 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 481, 538, 802, 479
• GCD of 620, 664, 645, 902
• GCD of 590, 774, 301, 393
• GCD of 971, 631, 895, 243
• GCD of 573, 874, 576, 156

Given numbers are 300, 856, 274, 960
The greatest common divisor of numbers 300, 856, 274, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 856, 274, 960 is 2.

1. What is the GCD of 300, 856, 274, 960?

GCD of given numbers 300, 856, 274, 960 is 2

2. How to calculate the greatest common divisor of 300, 856, 274, 960?

We can find the highest common divisor of 300, 856, 274, 960 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 300, 856, 274, 960 i.e 2.

3. How can I use the GCD of 300, 856, 274, 960Calculator?

Out the numbers 300, 856, 274, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.