GCD of 398, 454, 780, 828 Calculator

Given Input numbers are 398, 454, 780, 828

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

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 454 :

The positive integer divisors of 454 that completely divides 454 are.

1, 2, 227, 454

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

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

GCD of numbers is the greatest common divisor

So, the GCD (398, 454, 780, 828) = 2.

Given numbers are 398, 454, 780, 828

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

Prime factors of 454 are 2 x 227

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

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

The highest common occurrence is 2¹

Therefore, GCD of 398, 454, 780, 828 is 2.

Given numbers are 398, 454, 780, 828

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

Apply this formula for all numbers.

Step1:

LCM(398, 454) = 90346

GCD(398, 454) = ( 398 x 454 ) / 90346

= 398 / 454

= 398

Step2:

LCM(2, 780) = 780

GCD(2, 780) = ( 2 x 780 ) / 780

= 2 / 780

= 2

Step3:

LCM(2, 828) = 828

GCD(2, 828) = ( 2 x 828 ) / 828

= 2 / 828

= 2

So, Greatest Common Divisor of 398, 454, 780, 828 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 221, 464, 804, 152
• GCD of 561, 264, 642, 534
• GCD of 537, 988, 891, 484
• GCD of 751, 835, 323, 134
• GCD of 174, 432, 284, 446

Given numbers are 398, 454, 780, 828
The greatest common divisor of numbers 398, 454, 780, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 454, 780, 828 is 2.

1. What is the GCD of 398, 454, 780, 828?

GCD of given numbers 398, 454, 780, 828 is 2

2. How to calculate the greatest common divisor of 398, 454, 780, 828?

We can find the highest common divisor of 398, 454, 780, 828 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 398, 454, 780, 828 i.e 2.

3. How can I use the GCD of 398, 454, 780, 828Calculator?

Out the numbers 398, 454, 780, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.