GCD of 344, 600, 492, 890 Calculator

Given Input numbers are 344, 600, 492, 890

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

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 890 :

The positive integer divisors of 890 that completely divides 890 are.

1, 2, 5, 10, 89, 178, 445, 890

GCD of numbers is the greatest common divisor

So, the GCD (344, 600, 492, 890) = 2.

Given numbers are 344, 600, 492, 890

The list of prime factors of all numbers are

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 890 are 2 x 5 x 89

The highest common occurrence is 2¹

Therefore, GCD of 344, 600, 492, 890 is 2.

Given numbers are 344, 600, 492, 890

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

Apply this formula for all numbers.

Step1:

LCM(344, 600) = 25800

GCD(344, 600) = ( 344 x 600 ) / 25800

= 344 / 600

= 344

Step2:

LCM(8, 492) = 984

GCD(8, 492) = ( 8 x 492 ) / 984

= 8 / 492

= 8

Step3:

LCM(4, 890) = 1780

GCD(4, 890) = ( 4 x 890 ) / 1780

= 4 / 890

= 4

So, Greatest Common Divisor of 344, 600, 492, 890 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 278, 705, 870, 381
• GCD of 943, 921, 966, 466
• GCD of 452, 585, 489, 694
• GCD of 856, 767, 181, 510
• GCD of 723, 676, 444, 423

Given numbers are 344, 600, 492, 890
The greatest common divisor of numbers 344, 600, 492, 890 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 344, 600, 492, 890 is 2.

1. What is the GCD of 344, 600, 492, 890?

GCD of given numbers 344, 600, 492, 890 is 2

2. How to calculate the greatest common divisor of 344, 600, 492, 890?

We can find the highest common divisor of 344, 600, 492, 890 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 344, 600, 492, 890 i.e 2.

3. How can I use the GCD of 344, 600, 492, 890Calculator?

Out the numbers 344, 600, 492, 890 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.