GCD of 738, 206, 744, 682 Calculator

Given Input numbers are 738, 206, 744, 682

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

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 206 :

The positive integer divisors of 206 that completely divides 206 are.

1, 2, 103, 206

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

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 (738, 206, 744, 682) = 2.

Given numbers are 738, 206, 744, 682

The list of prime factors of all numbers are

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 206 are 2 x 103

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 682 are 2 x 11 x 31

The highest common occurrence is 2¹

Therefore, GCD of 738, 206, 744, 682 is 2.

Given numbers are 738, 206, 744, 682

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

Apply this formula for all numbers.

Step1:

LCM(738, 206) = 76014

GCD(738, 206) = ( 738 x 206 ) / 76014

= 738 / 206

= 738

Step2:

LCM(2, 744) = 744

GCD(2, 744) = ( 2 x 744 ) / 744

= 2 / 744

= 2

Step3:

LCM(2, 682) = 682

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

= 2 / 682

= 2

So, Greatest Common Divisor of 738, 206, 744, 682 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 422, 118, 637, 115
• GCD of 594, 772, 887, 119
• GCD of 250, 391, 403, 363
• GCD of 429, 218, 798, 802
• GCD of 195, 631, 974, 201

Given numbers are 738, 206, 744, 682
The greatest common divisor of numbers 738, 206, 744, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 206, 744, 682 is 2.

1. What is the GCD of 738, 206, 744, 682?

GCD of given numbers 738, 206, 744, 682 is 2

2. How to calculate the greatest common divisor of 738, 206, 744, 682?

We can find the highest common divisor of 738, 206, 744, 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 738, 206, 744, 682 i.e 2.

3. How can I use the GCD of 738, 206, 744, 682Calculator?

Out the numbers 738, 206, 744, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.