GCD of 900, 505, 337, 385 Calculator

Given Input numbers are 900, 505, 337, 385

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 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

Divisors of 337 :

The positive integer divisors of 337 that completely divides 337 are.

1, 337

Divisors of 385 :

The positive integer divisors of 385 that completely divides 385 are.

1, 5, 7, 11, 35, 55, 77, 385

GCD of numbers is the greatest common divisor

So, the GCD (900, 505, 337, 385) = 1.

Given numbers are 900, 505, 337, 385

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 505 are 5 x 101

Prime factors of 337 are 337

Prime factors of 385 are 5 x 7 x 11

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

Given numbers are 900, 505, 337, 385

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

Apply this formula for all numbers.

Step1:

LCM(900, 505) = 90900

GCD(900, 505) = ( 900 x 505 ) / 90900

= 900 / 505

= 900

Step2:

LCM(5, 337) = 1685

GCD(5, 337) = ( 5 x 337 ) / 1685

= 5 / 337

= 5

Step3:

LCM(1, 385) = 385

GCD(1, 385) = ( 1 x 385 ) / 385

= 1 / 385

= 1

So, Greatest Common Divisor of 900, 505, 337, 385 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 437, 465, 981, 345
• GCD of 513, 333, 444, 128
• GCD of 661, 100, 466, 702
• GCD of 285, 614, 582, 990
• GCD of 992, 451, 256, 812

Given numbers are 900, 505, 337, 385
The greatest common divisor of numbers 900, 505, 337, 385 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 505, 337, 385 is 1.

1. What is the GCD of 900, 505, 337, 385?

GCD of given numbers 900, 505, 337, 385 is 1

2. How to calculate the greatest common divisor of 900, 505, 337, 385?

We can find the highest common divisor of 900, 505, 337, 385 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, 505, 337, 385 i.e 1.

3. How can I use the GCD of 900, 505, 337, 385Calculator?

Out the numbers 900, 505, 337, 385 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.