GCD of 756, 828, 752, 821 Calculator

Given Input numbers are 756, 828, 752, 821

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

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

GCD of numbers is the greatest common divisor

So, the GCD (756, 828, 752, 821) = 1.

Given numbers are 756, 828, 752, 821

The list of prime factors of all numbers are

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 821 are 821

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

Given numbers are 756, 828, 752, 821

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

Apply this formula for all numbers.

Step1:

LCM(756, 828) = 17388

GCD(756, 828) = ( 756 x 828 ) / 17388

= 756 / 828

= 756

Step2:

LCM(36, 752) = 6768

GCD(36, 752) = ( 36 x 752 ) / 6768

= 36 / 752

= 36

Step3:

LCM(4, 821) = 3284

GCD(4, 821) = ( 4 x 821 ) / 3284

= 4 / 821

= 4

So, Greatest Common Divisor of 756, 828, 752, 821 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 774, 758, 728, 913
• GCD of 193, 604, 232, 874
• GCD of 757, 552, 591, 973
• GCD of 385, 934, 904, 694
• GCD of 451, 897, 432, 156

Given numbers are 756, 828, 752, 821
The greatest common divisor of numbers 756, 828, 752, 821 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 828, 752, 821 is 1.

1. What is the GCD of 756, 828, 752, 821?

GCD of given numbers 756, 828, 752, 821 is 1

2. How to calculate the greatest common divisor of 756, 828, 752, 821?

We can find the highest common divisor of 756, 828, 752, 821 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 756, 828, 752, 821 i.e 1.

3. How can I use the GCD of 756, 828, 752, 821Calculator?

Out the numbers 756, 828, 752, 821 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.