GCD of 900, 498, 786, 675 Calculator

Given Input numbers are 900, 498, 786, 675

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 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 786 :

The positive integer divisors of 786 that completely divides 786 are.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

GCD of numbers is the greatest common divisor

So, the GCD (900, 498, 786, 675) = 3.

Given numbers are 900, 498, 786, 675

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 498 are 2 x 3 x 83

Prime factors of 786 are 2 x 3 x 131

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

The highest common occurrence is 3¹

Therefore, GCD of 900, 498, 786, 675 is 3.

Given numbers are 900, 498, 786, 675

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

Apply this formula for all numbers.

Step1:

LCM(900, 498) = 74700

GCD(900, 498) = ( 900 x 498 ) / 74700

= 900 / 498

= 900

Step2:

LCM(6, 786) = 786

GCD(6, 786) = ( 6 x 786 ) / 786

= 6 / 786

= 6

Step3:

LCM(6, 675) = 1350

GCD(6, 675) = ( 6 x 675 ) / 1350

= 6 / 675

= 6

So, Greatest Common Divisor of 900, 498, 786, 675 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 177, 120, 107, 667
• GCD of 232, 445, 985, 243
• GCD of 326, 461, 249, 111
• GCD of 309, 430, 487, 756
• GCD of 642, 432, 786, 807

Given numbers are 900, 498, 786, 675
The greatest common divisor of numbers 900, 498, 786, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 498, 786, 675 is 3.

1. What is the GCD of 900, 498, 786, 675?

GCD of given numbers 900, 498, 786, 675 is 3

2. How to calculate the greatest common divisor of 900, 498, 786, 675?

We can find the highest common divisor of 900, 498, 786, 675 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, 498, 786, 675 i.e 3.

3. How can I use the GCD of 900, 498, 786, 675Calculator?

Out the numbers 900, 498, 786, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.