GCD of 821, 912, 828, 746 Calculator

Given Input numbers are 821, 912, 828, 746

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

Divisors of 821 :

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

1, 821

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

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 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

GCD of numbers is the greatest common divisor

So, the GCD (821, 912, 828, 746) = 1.

Given numbers are 821, 912, 828, 746

The list of prime factors of all numbers are

Prime factors of 821 are 821

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

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

Prime factors of 746 are 2 x 373

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

Given numbers are 821, 912, 828, 746

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

Apply this formula for all numbers.

Step1:

LCM(821, 912) = 748752

GCD(821, 912) = ( 821 x 912 ) / 748752

= 821 / 912

= 821

Step2:

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

= 1 / 828

= 1

Step3:

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

= 1 / 746

= 1

So, Greatest Common Divisor of 821, 912, 828, 746 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 190, 922, 712, 315
• GCD of 311, 456, 381, 135
• GCD of 174, 339, 911, 642
• GCD of 773, 919, 454, 771
• GCD of 227, 128, 167, 445

Given numbers are 821, 912, 828, 746
The greatest common divisor of numbers 821, 912, 828, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 821, 912, 828, 746 is 1.

1. What is the GCD of 821, 912, 828, 746?

GCD of given numbers 821, 912, 828, 746 is 1

2. How to calculate the greatest common divisor of 821, 912, 828, 746?

We can find the highest common divisor of 821, 912, 828, 746 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 821, 912, 828, 746 i.e 1.

3. How can I use the GCD of 821, 912, 828, 746Calculator?

Out the numbers 821, 912, 828, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.