GCD of 827, 409, 528, 378 Calculator

Given Input numbers are 827, 409, 528, 378

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

Divisors of 827 :

The positive integer divisors of 827 that completely divides 827 are.

1, 827

Divisors of 409 :

The positive integer divisors of 409 that completely divides 409 are.

1, 409

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

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

GCD of numbers is the greatest common divisor

So, the GCD (827, 409, 528, 378) = 1.

Given numbers are 827, 409, 528, 378

The list of prime factors of all numbers are

Prime factors of 827 are 827

Prime factors of 409 are 409

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

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

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

Given numbers are 827, 409, 528, 378

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

Apply this formula for all numbers.

Step1:

LCM(827, 409) = 338243

GCD(827, 409) = ( 827 x 409 ) / 338243

= 827 / 409

= 827

Step2:

LCM(1, 528) = 528

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

= 1 / 528

= 1

Step3:

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

= 1 / 378

= 1

So, Greatest Common Divisor of 827, 409, 528, 378 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 602, 438, 418, 577
• GCD of 835, 381, 634, 304
• GCD of 430, 299, 879, 756
• GCD of 381, 106, 723, 294
• GCD of 547, 588, 183, 667

Given numbers are 827, 409, 528, 378
The greatest common divisor of numbers 827, 409, 528, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 827, 409, 528, 378 is 1.

1. What is the GCD of 827, 409, 528, 378?

GCD of given numbers 827, 409, 528, 378 is 1

2. How to calculate the greatest common divisor of 827, 409, 528, 378?

We can find the highest common divisor of 827, 409, 528, 378 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 827, 409, 528, 378 i.e 1.

3. How can I use the GCD of 827, 409, 528, 378Calculator?

Out the numbers 827, 409, 528, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.