GCD of 138, 609, 900, 675 Calculator

Given Input numbers are 138, 609, 900, 675

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 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

GCD of numbers is the greatest common divisor

So, the GCD (138, 609, 900, 675) = 3.

Given numbers are 138, 609, 900, 675

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 609 are 3 x 7 x 29

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

The highest common occurrence is 3¹

Therefore, GCD of 138, 609, 900, 675 is 3.

Given numbers are 138, 609, 900, 675

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

Apply this formula for all numbers.

Step1:

LCM(138, 609) = 28014

GCD(138, 609) = ( 138 x 609 ) / 28014

= 138 / 609

= 138

Step2:

LCM(3, 900) = 900

GCD(3, 900) = ( 3 x 900 ) / 900

= 3 / 900

= 3

Step3:

LCM(3, 675) = 675

GCD(3, 675) = ( 3 x 675 ) / 675

= 3 / 675

= 3

So, Greatest Common Divisor of 138, 609, 900, 675 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 376, 514, 539, 645
• GCD of 399, 884, 358, 595
• GCD of 225, 537, 773, 673
• GCD of 919, 828, 669, 759
• GCD of 576, 771, 889, 278

Given numbers are 138, 609, 900, 675
The greatest common divisor of numbers 138, 609, 900, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 609, 900, 675 is 3.

1. What is the GCD of 138, 609, 900, 675?

GCD of given numbers 138, 609, 900, 675 is 3

2. How to calculate the greatest common divisor of 138, 609, 900, 675?

We can find the highest common divisor of 138, 609, 900, 675 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, 609, 900, 675 i.e 3.

3. How can I use the GCD of 138, 609, 900, 675Calculator?

Out the numbers 138, 609, 900, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.