GCD of 900, 742, 649, 804 Calculator

Given Input numbers are 900, 742, 649, 804

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 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

GCD of numbers is the greatest common divisor

So, the GCD (900, 742, 649, 804) = 1.

Given numbers are 900, 742, 649, 804

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 742 are 2 x 7 x 53

Prime factors of 649 are 11 x 59

Prime factors of 804 are 2 x 2 x 3 x 67

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

Given numbers are 900, 742, 649, 804

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

Apply this formula for all numbers.

Step1:

LCM(900, 742) = 333900

GCD(900, 742) = ( 900 x 742 ) / 333900

= 900 / 742

= 900

Step2:

LCM(2, 649) = 1298

GCD(2, 649) = ( 2 x 649 ) / 1298

= 2 / 649

= 2

Step3:

LCM(1, 804) = 804

GCD(1, 804) = ( 1 x 804 ) / 804

= 1 / 804

= 1

So, Greatest Common Divisor of 900, 742, 649, 804 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 640, 190, 164, 696
• GCD of 641, 172, 122, 809
• GCD of 294, 917, 992, 176
• GCD of 342, 178, 106, 844
• GCD of 606, 907, 184, 635

Given numbers are 900, 742, 649, 804
The greatest common divisor of numbers 900, 742, 649, 804 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 742, 649, 804 is 1.

1. What is the GCD of 900, 742, 649, 804?

GCD of given numbers 900, 742, 649, 804 is 1

2. How to calculate the greatest common divisor of 900, 742, 649, 804?

We can find the highest common divisor of 900, 742, 649, 804 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, 742, 649, 804 i.e 1.

3. How can I use the GCD of 900, 742, 649, 804Calculator?

Out the numbers 900, 742, 649, 804 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.