GCD of 706, 522, 382, 138 Calculator

Given Input numbers are 706, 522, 382, 138

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

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

GCD of numbers is the greatest common divisor

So, the GCD (706, 522, 382, 138) = 2.

Given numbers are 706, 522, 382, 138

The list of prime factors of all numbers are

Prime factors of 706 are 2 x 353

Prime factors of 522 are 2 x 3 x 3 x 29

Prime factors of 382 are 2 x 191

Prime factors of 138 are 2 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 706, 522, 382, 138 is 2.

Given numbers are 706, 522, 382, 138

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

Apply this formula for all numbers.

Step1:

LCM(706, 522) = 184266

GCD(706, 522) = ( 706 x 522 ) / 184266

= 706 / 522

= 706

Step2:

LCM(2, 382) = 382

GCD(2, 382) = ( 2 x 382 ) / 382

= 2 / 382

= 2

Step3:

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

= 2 / 138

= 2

So, Greatest Common Divisor of 706, 522, 382, 138 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 330, 362, 151, 373
• GCD of 470, 725, 573, 255
• GCD of 335, 107, 734, 660
• GCD of 570, 652, 919, 717
• GCD of 956, 265, 130, 964

Given numbers are 706, 522, 382, 138
The greatest common divisor of numbers 706, 522, 382, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 706, 522, 382, 138 is 2.

1. What is the GCD of 706, 522, 382, 138?

GCD of given numbers 706, 522, 382, 138 is 2

2. How to calculate the greatest common divisor of 706, 522, 382, 138?

We can find the highest common divisor of 706, 522, 382, 138 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 706, 522, 382, 138 i.e 2.

3. How can I use the GCD of 706, 522, 382, 138Calculator?

Out the numbers 706, 522, 382, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.