GCD of 894, 918, 300, 147 Calculator

Given Input numbers are 894, 918, 300, 147

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

Divisors of 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

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 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

GCD of numbers is the greatest common divisor

So, the GCD (894, 918, 300, 147) = 3.

Given numbers are 894, 918, 300, 147

The list of prime factors of all numbers are

Prime factors of 894 are 2 x 3 x 149

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

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

Prime factors of 147 are 3 x 7 x 7

The highest common occurrence is 3¹

Therefore, GCD of 894, 918, 300, 147 is 3.

Given numbers are 894, 918, 300, 147

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

Apply this formula for all numbers.

Step1:

LCM(894, 918) = 136782

GCD(894, 918) = ( 894 x 918 ) / 136782

= 894 / 918

= 894

Step2:

LCM(6, 300) = 300

GCD(6, 300) = ( 6 x 300 ) / 300

= 6 / 300

= 6

Step3:

LCM(6, 147) = 294

GCD(6, 147) = ( 6 x 147 ) / 294

= 6 / 147

= 6

So, Greatest Common Divisor of 894, 918, 300, 147 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 921, 858, 348, 688
• GCD of 368, 156, 892, 452
• GCD of 172, 443, 740, 569
• GCD of 131, 185, 287, 155
• GCD of 686, 960, 539, 227

Given numbers are 894, 918, 300, 147
The greatest common divisor of numbers 894, 918, 300, 147 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 894, 918, 300, 147 is 3.

1. What is the GCD of 894, 918, 300, 147?

GCD of given numbers 894, 918, 300, 147 is 3

2. How to calculate the greatest common divisor of 894, 918, 300, 147?

We can find the highest common divisor of 894, 918, 300, 147 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 894, 918, 300, 147 i.e 3.

3. How can I use the GCD of 894, 918, 300, 147Calculator?

Out the numbers 894, 918, 300, 147 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.