GCD of 900, 462, 313, 749 Calculator

Given Input numbers are 900, 462, 313, 749

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 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

GCD of numbers is the greatest common divisor

So, the GCD (900, 462, 313, 749) = 1.

Given numbers are 900, 462, 313, 749

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 462 are 2 x 3 x 7 x 11

Prime factors of 313 are 313

Prime factors of 749 are 7 x 107

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

Given numbers are 900, 462, 313, 749

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

Apply this formula for all numbers.

Step1:

LCM(900, 462) = 69300

GCD(900, 462) = ( 900 x 462 ) / 69300

= 900 / 462

= 900

Step2:

LCM(6, 313) = 1878

GCD(6, 313) = ( 6 x 313 ) / 1878

= 6 / 313

= 6

Step3:

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

= 1 / 749

= 1

So, Greatest Common Divisor of 900, 462, 313, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 547, 985, 781, 213
• GCD of 573, 745, 817, 733
• GCD of 606, 257, 364, 548
• GCD of 373, 824, 550, 798
• GCD of 955, 633, 161, 327

Given numbers are 900, 462, 313, 749
The greatest common divisor of numbers 900, 462, 313, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 462, 313, 749 is 1.

1. What is the GCD of 900, 462, 313, 749?

GCD of given numbers 900, 462, 313, 749 is 1

2. How to calculate the greatest common divisor of 900, 462, 313, 749?

We can find the highest common divisor of 900, 462, 313, 749 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, 462, 313, 749 i.e 1.

3. How can I use the GCD of 900, 462, 313, 749Calculator?

Out the numbers 900, 462, 313, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.