GCD of 664, 346, 294, 300 Calculator

Given Input numbers are 664, 346, 294, 300

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

Divisors of 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 346 :

The positive integer divisors of 346 that completely divides 346 are.

1, 2, 173, 346

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

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

GCD of numbers is the greatest common divisor

So, the GCD (664, 346, 294, 300) = 2.

Given numbers are 664, 346, 294, 300

The list of prime factors of all numbers are

Prime factors of 664 are 2 x 2 x 2 x 83

Prime factors of 346 are 2 x 173

Prime factors of 294 are 2 x 3 x 7 x 7

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

The highest common occurrence is 2¹

Therefore, GCD of 664, 346, 294, 300 is 2.

Given numbers are 664, 346, 294, 300

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

Apply this formula for all numbers.

Step1:

LCM(664, 346) = 114872

GCD(664, 346) = ( 664 x 346 ) / 114872

= 664 / 346

= 664

Step2:

LCM(2, 294) = 294

GCD(2, 294) = ( 2 x 294 ) / 294

= 2 / 294

= 2

Step3:

LCM(2, 300) = 300

GCD(2, 300) = ( 2 x 300 ) / 300

= 2 / 300

= 2

So, Greatest Common Divisor of 664, 346, 294, 300 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 811, 426, 149, 448
• GCD of 179, 843, 845, 135
• GCD of 735, 505, 861, 631
• GCD of 115, 175, 900, 920
• GCD of 922, 329, 868, 871

Given numbers are 664, 346, 294, 300
The greatest common divisor of numbers 664, 346, 294, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 664, 346, 294, 300 is 2.

1. What is the GCD of 664, 346, 294, 300?

GCD of given numbers 664, 346, 294, 300 is 2

2. How to calculate the greatest common divisor of 664, 346, 294, 300?

We can find the highest common divisor of 664, 346, 294, 300 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 664, 346, 294, 300 i.e 2.

3. How can I use the GCD of 664, 346, 294, 300Calculator?

Out the numbers 664, 346, 294, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.