GCD of 816, 496, 972, 747 Calculator

Given Input numbers are 816, 496, 972, 747

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

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

GCD of numbers is the greatest common divisor

So, the GCD (816, 496, 972, 747) = 1.

Given numbers are 816, 496, 972, 747

The list of prime factors of all numbers are

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 747 are 3 x 3 x 83

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

Given numbers are 816, 496, 972, 747

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

Apply this formula for all numbers.

Step1:

LCM(816, 496) = 25296

GCD(816, 496) = ( 816 x 496 ) / 25296

= 816 / 496

= 816

Step2:

LCM(16, 972) = 3888

GCD(16, 972) = ( 16 x 972 ) / 3888

= 16 / 972

= 16

Step3:

LCM(4, 747) = 2988

GCD(4, 747) = ( 4 x 747 ) / 2988

= 4 / 747

= 4

So, Greatest Common Divisor of 816, 496, 972, 747 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 273, 263, 800, 443
• GCD of 536, 341, 344, 348
• GCD of 535, 275, 509, 726
• GCD of 883, 132, 547, 158
• GCD of 864, 268, 374, 924

Given numbers are 816, 496, 972, 747
The greatest common divisor of numbers 816, 496, 972, 747 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 496, 972, 747 is 1.

1. What is the GCD of 816, 496, 972, 747?

GCD of given numbers 816, 496, 972, 747 is 1

2. How to calculate the greatest common divisor of 816, 496, 972, 747?

We can find the highest common divisor of 816, 496, 972, 747 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 816, 496, 972, 747 i.e 1.

3. How can I use the GCD of 816, 496, 972, 747Calculator?

Out the numbers 816, 496, 972, 747 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.