GCD of 900, 798, 334, 646 Calculator

Given Input numbers are 900, 798, 334, 646

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 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 334 :

The positive integer divisors of 334 that completely divides 334 are.

1, 2, 167, 334

Divisors of 646 :

The positive integer divisors of 646 that completely divides 646 are.

1, 2, 17, 19, 34, 38, 323, 646

GCD of numbers is the greatest common divisor

So, the GCD (900, 798, 334, 646) = 2.

Given numbers are 900, 798, 334, 646

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 798 are 2 x 3 x 7 x 19

Prime factors of 334 are 2 x 167

Prime factors of 646 are 2 x 17 x 19

The highest common occurrence is 2¹

Therefore, GCD of 900, 798, 334, 646 is 2.

Given numbers are 900, 798, 334, 646

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

Apply this formula for all numbers.

Step1:

LCM(900, 798) = 119700

GCD(900, 798) = ( 900 x 798 ) / 119700

= 900 / 798

= 900

Step2:

LCM(6, 334) = 1002

GCD(6, 334) = ( 6 x 334 ) / 1002

= 6 / 334

= 6

Step3:

LCM(2, 646) = 646

GCD(2, 646) = ( 2 x 646 ) / 646

= 2 / 646

= 2

So, Greatest Common Divisor of 900, 798, 334, 646 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 697, 918, 207, 719
• GCD of 176, 895, 602, 671
• GCD of 609, 765, 336, 326
• GCD of 351, 525, 307, 491
• GCD of 872, 522, 532, 763

Given numbers are 900, 798, 334, 646
The greatest common divisor of numbers 900, 798, 334, 646 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 798, 334, 646 is 2.

1. What is the GCD of 900, 798, 334, 646?

GCD of given numbers 900, 798, 334, 646 is 2

2. How to calculate the greatest common divisor of 900, 798, 334, 646?

We can find the highest common divisor of 900, 798, 334, 646 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, 798, 334, 646 i.e 2.

3. How can I use the GCD of 900, 798, 334, 646Calculator?

Out the numbers 900, 798, 334, 646 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.