GCD of 900, 137, 440, 894 Calculator

Given Input numbers are 900, 137, 440, 894

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 137 :

The positive integer divisors of 137 that completely divides 137 are.

1, 137

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

GCD of numbers is the greatest common divisor

So, the GCD (900, 137, 440, 894) = 1.

Given numbers are 900, 137, 440, 894

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 137 are 137

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

Prime factors of 894 are 2 x 3 x 149

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

Given numbers are 900, 137, 440, 894

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

Apply this formula for all numbers.

Step1:

LCM(900, 137) = 123300

GCD(900, 137) = ( 900 x 137 ) / 123300

= 900 / 137

= 900

Step2:

LCM(1, 440) = 440

GCD(1, 440) = ( 1 x 440 ) / 440

= 1 / 440

= 1

Step3:

LCM(1, 894) = 894

GCD(1, 894) = ( 1 x 894 ) / 894

= 1 / 894

= 1

So, Greatest Common Divisor of 900, 137, 440, 894 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 977, 132, 687, 327
• GCD of 967, 180, 185, 110
• GCD of 146, 949, 318, 789
• GCD of 377, 233, 692, 336
• GCD of 664, 312, 287, 838

Given numbers are 900, 137, 440, 894
The greatest common divisor of numbers 900, 137, 440, 894 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 137, 440, 894 is 1.

1. What is the GCD of 900, 137, 440, 894?

GCD of given numbers 900, 137, 440, 894 is 1

2. How to calculate the greatest common divisor of 900, 137, 440, 894?

We can find the highest common divisor of 900, 137, 440, 894 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, 137, 440, 894 i.e 1.

3. How can I use the GCD of 900, 137, 440, 894Calculator?

Out the numbers 900, 137, 440, 894 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.