GCD of 328, 261, 714, 828 Calculator

Given Input numbers are 328, 261, 714, 828

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

Divisors of 328 :

The positive integer divisors of 328 that completely divides 328 are.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

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 (328, 261, 714, 828) = 1.

Given numbers are 328, 261, 714, 828

The list of prime factors of all numbers are

Prime factors of 328 are 2 x 2 x 2 x 41

Prime factors of 261 are 3 x 3 x 29

Prime factors of 714 are 2 x 3 x 7 x 17

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

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

Given numbers are 328, 261, 714, 828

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

Apply this formula for all numbers.

Step1:

LCM(328, 261) = 85608

GCD(328, 261) = ( 328 x 261 ) / 85608

= 328 / 261

= 328

Step2:

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

= 1 / 714

= 1

Step3:

LCM(1, 828) = 828

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

= 1 / 828

= 1

So, Greatest Common Divisor of 328, 261, 714, 828 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 701, 284, 392, 412
• GCD of 758, 383, 762, 895
• GCD of 724, 397, 425, 770
• GCD of 690, 731, 756, 573
• GCD of 537, 413, 980, 188

Given numbers are 328, 261, 714, 828
The greatest common divisor of numbers 328, 261, 714, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 328, 261, 714, 828 is 1.

1. What is the GCD of 328, 261, 714, 828?

GCD of given numbers 328, 261, 714, 828 is 1

2. How to calculate the greatest common divisor of 328, 261, 714, 828?

We can find the highest common divisor of 328, 261, 714, 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 328, 261, 714, 828 i.e 1.

3. How can I use the GCD of 328, 261, 714, 828Calculator?

Out the numbers 328, 261, 714, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.