GCD of 494, 696, 344, 200 Calculator

Given Input numbers are 494, 696, 344, 200

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

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 344 :

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

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

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

GCD of numbers is the greatest common divisor

So, the GCD (494, 696, 344, 200) = 2.

Given numbers are 494, 696, 344, 200

The list of prime factors of all numbers are

Prime factors of 494 are 2 x 13 x 19

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

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

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 494, 696, 344, 200 is 2.

Given numbers are 494, 696, 344, 200

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

Apply this formula for all numbers.

Step1:

LCM(494, 696) = 171912

GCD(494, 696) = ( 494 x 696 ) / 171912

= 494 / 696

= 494

Step2:

LCM(2, 344) = 344

GCD(2, 344) = ( 2 x 344 ) / 344

= 2 / 344

= 2

Step3:

LCM(2, 200) = 200

GCD(2, 200) = ( 2 x 200 ) / 200

= 2 / 200

= 2

So, Greatest Common Divisor of 494, 696, 344, 200 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 429, 730, 567, 257
• GCD of 446, 815, 659, 876
• GCD of 261, 642, 740, 301
• GCD of 130, 628, 390, 493
• GCD of 249, 553, 481, 127

Given numbers are 494, 696, 344, 200
The greatest common divisor of numbers 494, 696, 344, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 696, 344, 200 is 2.

1. What is the GCD of 494, 696, 344, 200?

GCD of given numbers 494, 696, 344, 200 is 2

2. How to calculate the greatest common divisor of 494, 696, 344, 200?

We can find the highest common divisor of 494, 696, 344, 200 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 494, 696, 344, 200 i.e 2.

3. How can I use the GCD of 494, 696, 344, 200Calculator?

Out the numbers 494, 696, 344, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.