GCD of 537, 540, 969, 792 Calculator

Given Input numbers are 537, 540, 969, 792

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 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

GCD of numbers is the greatest common divisor

So, the GCD (537, 540, 969, 792) = 3.

Given numbers are 537, 540, 969, 792

The list of prime factors of all numbers are

Prime factors of 537 are 3 x 179

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 969 are 3 x 17 x 19

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

The highest common occurrence is 3¹

Therefore, GCD of 537, 540, 969, 792 is 3.

Given numbers are 537, 540, 969, 792

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

Apply this formula for all numbers.

Step1:

LCM(537, 540) = 96660

GCD(537, 540) = ( 537 x 540 ) / 96660

= 537 / 540

= 537

Step2:

LCM(3, 969) = 969

GCD(3, 969) = ( 3 x 969 ) / 969

= 3 / 969

= 3

Step3:

LCM(3, 792) = 792

GCD(3, 792) = ( 3 x 792 ) / 792

= 3 / 792

= 3

So, Greatest Common Divisor of 537, 540, 969, 792 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 180, 630, 777, 295
• GCD of 759, 643, 865, 843
• GCD of 707, 978, 634, 665
• GCD of 868, 893, 752, 109
• GCD of 955, 450, 667, 934

Given numbers are 537, 540, 969, 792
The greatest common divisor of numbers 537, 540, 969, 792 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 537, 540, 969, 792 is 3.

1. What is the GCD of 537, 540, 969, 792?

GCD of given numbers 537, 540, 969, 792 is 3

2. How to calculate the greatest common divisor of 537, 540, 969, 792?

We can find the highest common divisor of 537, 540, 969, 792 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, 540, 969, 792 i.e 3.

3. How can I use the GCD of 537, 540, 969, 792Calculator?

Out the numbers 537, 540, 969, 792 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.