GCD of 149, 900, 999, 362 Calculator

Given Input numbers are 149, 900, 999, 362

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

Divisors of 149 :

The positive integer divisors of 149 that completely divides 149 are.

1, 149

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 999 :

The positive integer divisors of 999 that completely divides 999 are.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 362 :

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

1, 2, 181, 362

GCD of numbers is the greatest common divisor

So, the GCD (149, 900, 999, 362) = 1.

Given numbers are 149, 900, 999, 362

The list of prime factors of all numbers are

Prime factors of 149 are 149

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

Prime factors of 999 are 3 x 3 x 3 x 37

Prime factors of 362 are 2 x 181

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 149, 900, 999, 362

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

Apply this formula for all numbers.

Step1:

LCM(149, 900) = 134100

GCD(149, 900) = ( 149 x 900 ) / 134100

= 149 / 900

= 149

Step2:

LCM(1, 999) = 999

GCD(1, 999) = ( 1 x 999 ) / 999

= 1 / 999

= 1

Step3:

LCM(1, 362) = 362

GCD(1, 362) = ( 1 x 362 ) / 362

= 1 / 362

= 1

So, Greatest Common Divisor of 149, 900, 999, 362 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 536, 156, 952, 369
• GCD of 678, 549, 992, 266
• GCD of 491, 708, 638, 207
• GCD of 680, 216, 530, 217
• GCD of 618, 744, 199, 364

Given numbers are 149, 900, 999, 362
The greatest common divisor of numbers 149, 900, 999, 362 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 149, 900, 999, 362 is 1.

1. What is the GCD of 149, 900, 999, 362?

GCD of given numbers 149, 900, 999, 362 is 1

2. How to calculate the greatest common divisor of 149, 900, 999, 362?

We can find the highest common divisor of 149, 900, 999, 362 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 149, 900, 999, 362 i.e 1.

3. How can I use the GCD of 149, 900, 999, 362Calculator?

Out the numbers 149, 900, 999, 362 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.