GCD of 537, 825, 96 Calculator

Given Input numbers are 537, 825, 96

In the factoring method, we have to find the divisors of all numbers

Divisors of 537 :

The positive integer divisors of 537 that completely divides 537 are.

1, 3, 179, 537

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 96 :

The positive integer divisors of 96 that completely divides 96 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

GCD of numbers is the greatest common divisor

So, the GCD (537, 825, 96) = 3.

Given numbers are 537, 825, 96

The list of prime factors of all numbers are

Prime factors of 537 are 3 x 179

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 96 are 2 x 2 x 2 x 2 x 2 x 3

The highest common occurrence is 3¹

Therefore, GCD of 537, 825, 96 is 3.

Given numbers are 537, 825, 96

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

Apply this formula for all numbers.

Step1:

LCM(537, 825) = 147675

GCD(537, 825) = ( 537 x 825 ) / 147675

= 537 / 825

= 537

Step2:

LCM(3, 96) = 96

GCD(3, 96) = ( 3 x 96 ) / 96

= 3 / 96

= 3

So, Greatest Common Divisor of 537, 825, 96 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 961, 571, 11
• GCD of 458, 559, 33
• GCD of 876, 490, 30
• GCD of 757, 658, 38
• GCD of 114, 732, 78

Given numbers are 537, 825, 96
The greatest common divisor of numbers 537, 825, 96 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 537, 825, 96 is 3.

1. What is the GCD of 537, 825, 96?

GCD of given numbers 537, 825, 96 is 3

2. How to calculate the greatest common divisor of 537, 825, 96?

We can find the highest common divisor of 537, 825, 96 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 537, 825, 96 i.e 3.

3. How can I use the GCD of 537, 825, 96Calculator?

Out the numbers 537, 825, 96 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.