GCD of 138, 734, 522, 606 Calculator

Given Input numbers are 138, 734, 522, 606

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

Divisors of 138 :

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

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

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

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 606 :

The positive integer divisors of 606 that completely divides 606 are.

1, 2, 3, 6, 101, 202, 303, 606

GCD of numbers is the greatest common divisor

So, the GCD (138, 734, 522, 606) = 2.

Given numbers are 138, 734, 522, 606

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 734 are 2 x 367

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

Prime factors of 606 are 2 x 3 x 101

The highest common occurrence is 2¹

Therefore, GCD of 138, 734, 522, 606 is 2.

Given numbers are 138, 734, 522, 606

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

Apply this formula for all numbers.

Step1:

LCM(138, 734) = 50646

GCD(138, 734) = ( 138 x 734 ) / 50646

= 138 / 734

= 138

Step2:

LCM(2, 522) = 522

GCD(2, 522) = ( 2 x 522 ) / 522

= 2 / 522

= 2

Step3:

LCM(2, 606) = 606

GCD(2, 606) = ( 2 x 606 ) / 606

= 2 / 606

= 2

So, Greatest Common Divisor of 138, 734, 522, 606 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 960, 927, 391, 453
• GCD of 381, 308, 763, 684
• GCD of 145, 447, 223, 865
• GCD of 662, 679, 981, 907
• GCD of 510, 939, 953, 227

Given numbers are 138, 734, 522, 606
The greatest common divisor of numbers 138, 734, 522, 606 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 734, 522, 606 is 2.

1. What is the GCD of 138, 734, 522, 606?

GCD of given numbers 138, 734, 522, 606 is 2

2. How to calculate the greatest common divisor of 138, 734, 522, 606?

We can find the highest common divisor of 138, 734, 522, 606 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 138, 734, 522, 606 i.e 2.

3. How can I use the GCD of 138, 734, 522, 606Calculator?

Out the numbers 138, 734, 522, 606 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.