GCD of 900, 138, 362, 738 Calculator

Given Input numbers are 900, 138, 362, 738

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

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 138 :

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

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

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

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

GCD of numbers is the greatest common divisor

So, the GCD (900, 138, 362, 738) = 2.

Given numbers are 900, 138, 362, 738

The list of prime factors of all numbers are

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

Prime factors of 138 are 2 x 3 x 23

Prime factors of 362 are 2 x 181

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

The highest common occurrence is 2¹

Therefore, GCD of 900, 138, 362, 738 is 2.

Given numbers are 900, 138, 362, 738

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

Apply this formula for all numbers.

Step1:

LCM(900, 138) = 20700

GCD(900, 138) = ( 900 x 138 ) / 20700

= 900 / 138

= 900

Step2:

LCM(6, 362) = 1086

GCD(6, 362) = ( 6 x 362 ) / 1086

= 6 / 362

= 6

Step3:

LCM(2, 738) = 738

GCD(2, 738) = ( 2 x 738 ) / 738

= 2 / 738

= 2

So, Greatest Common Divisor of 900, 138, 362, 738 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 882, 995, 676, 639
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Given numbers are 900, 138, 362, 738
The greatest common divisor of numbers 900, 138, 362, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 138, 362, 738 is 2.

1. What is the GCD of 900, 138, 362, 738?

GCD of given numbers 900, 138, 362, 738 is 2

2. How to calculate the greatest common divisor of 900, 138, 362, 738?

We can find the highest common divisor of 900, 138, 362, 738 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 900, 138, 362, 738 i.e 2.

3. How can I use the GCD of 900, 138, 362, 738Calculator?

Out the numbers 900, 138, 362, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.