GCD of 494, 914, 36, 682 Calculator

Given Input numbers are 494, 914, 36, 682

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 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

Divisors of 36 :

The positive integer divisors of 36 that completely divides 36 are.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

GCD of numbers is the greatest common divisor

So, the GCD (494, 914, 36, 682) = 2.

Given numbers are 494, 914, 36, 682

The list of prime factors of all numbers are

Prime factors of 494 are 2 x 13 x 19

Prime factors of 914 are 2 x 457

Prime factors of 36 are 2 x 2 x 3 x 3

Prime factors of 682 are 2 x 11 x 31

The highest common occurrence is 2¹

Therefore, GCD of 494, 914, 36, 682 is 2.

Given numbers are 494, 914, 36, 682

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

Apply this formula for all numbers.

Step1:

LCM(494, 914) = 225758

GCD(494, 914) = ( 494 x 914 ) / 225758

= 494 / 914

= 494

Step2:

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

= 2 / 36

= 2

Step3:

LCM(2, 682) = 682

GCD(2, 682) = ( 2 x 682 ) / 682

= 2 / 682

= 2

So, Greatest Common Divisor of 494, 914, 36, 682 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 662, 111, 31, 823
• GCD of 459, 985, 92, 479
• GCD of 361, 669, 54, 948
• GCD of 732, 211, 11, 998
• GCD of 461, 741, 61, 527

Given numbers are 494, 914, 36, 682
The greatest common divisor of numbers 494, 914, 36, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 914, 36, 682 is 2.

1. What is the GCD of 494, 914, 36, 682?

GCD of given numbers 494, 914, 36, 682 is 2

2. How to calculate the greatest common divisor of 494, 914, 36, 682?

We can find the highest common divisor of 494, 914, 36, 682 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, 914, 36, 682 i.e 2.

3. How can I use the GCD of 494, 914, 36, 682Calculator?

Out the numbers 494, 914, 36, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.