GCD of 900, 309, 973, 490 Calculator

Given Input numbers are 900, 309, 973, 490

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 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 973 :

The positive integer divisors of 973 that completely divides 973 are.

1, 7, 139, 973

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

GCD of numbers is the greatest common divisor

So, the GCD (900, 309, 973, 490) = 1.

Given numbers are 900, 309, 973, 490

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 309 are 3 x 103

Prime factors of 973 are 7 x 139

Prime factors of 490 are 2 x 5 x 7 x 7

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

Given numbers are 900, 309, 973, 490

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

Apply this formula for all numbers.

Step1:

LCM(900, 309) = 92700

GCD(900, 309) = ( 900 x 309 ) / 92700

= 900 / 309

= 900

Step2:

LCM(3, 973) = 2919

GCD(3, 973) = ( 3 x 973 ) / 2919

= 3 / 973

= 3

Step3:

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

= 1 / 490

= 1

So, Greatest Common Divisor of 900, 309, 973, 490 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 278, 496, 570, 174
• GCD of 457, 254, 460, 803
• GCD of 979, 992, 513, 480
• GCD of 664, 147, 398, 650
• GCD of 529, 672, 330, 702

Given numbers are 900, 309, 973, 490
The greatest common divisor of numbers 900, 309, 973, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 309, 973, 490 is 1.

1. What is the GCD of 900, 309, 973, 490?

GCD of given numbers 900, 309, 973, 490 is 1

2. How to calculate the greatest common divisor of 900, 309, 973, 490?

We can find the highest common divisor of 900, 309, 973, 490 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, 309, 973, 490 i.e 1.

3. How can I use the GCD of 900, 309, 973, 490Calculator?

Out the numbers 900, 309, 973, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.