GCD of 820, 744, 891, 528 Calculator

Given Input numbers are 820, 744, 891, 528

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

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 891 :

The positive integer divisors of 891 that completely divides 891 are.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

GCD of numbers is the greatest common divisor

So, the GCD (820, 744, 891, 528) = 1.

Given numbers are 820, 744, 891, 528

The list of prime factors of all numbers are

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 891 are 3 x 3 x 3 x 3 x 11

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

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

Given numbers are 820, 744, 891, 528

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

Apply this formula for all numbers.

Step1:

LCM(820, 744) = 152520

GCD(820, 744) = ( 820 x 744 ) / 152520

= 820 / 744

= 820

Step2:

LCM(4, 891) = 3564

GCD(4, 891) = ( 4 x 891 ) / 3564

= 4 / 891

= 4

Step3:

LCM(1, 528) = 528

GCD(1, 528) = ( 1 x 528 ) / 528

= 1 / 528

= 1

So, Greatest Common Divisor of 820, 744, 891, 528 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 321, 313, 189, 172
• GCD of 813, 235, 235, 215
• GCD of 275, 926, 531, 151
• GCD of 222, 124, 589, 531
• GCD of 451, 942, 333, 292

Given numbers are 820, 744, 891, 528
The greatest common divisor of numbers 820, 744, 891, 528 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 744, 891, 528 is 1.

1. What is the GCD of 820, 744, 891, 528?

GCD of given numbers 820, 744, 891, 528 is 1

2. How to calculate the greatest common divisor of 820, 744, 891, 528?

We can find the highest common divisor of 820, 744, 891, 528 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 820, 744, 891, 528 i.e 1.

3. How can I use the GCD of 820, 744, 891, 528Calculator?

Out the numbers 820, 744, 891, 528 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.