GCD of 829, 916, 328, 355 Calculator

Given Input numbers are 829, 916, 328, 355

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

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 328 :

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

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

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

GCD of numbers is the greatest common divisor

So, the GCD (829, 916, 328, 355) = 1.

Given numbers are 829, 916, 328, 355

The list of prime factors of all numbers are

Prime factors of 829 are 829

Prime factors of 916 are 2 x 2 x 229

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

Prime factors of 355 are 5 x 71

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

Given numbers are 829, 916, 328, 355

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

Apply this formula for all numbers.

Step1:

LCM(829, 916) = 759364

GCD(829, 916) = ( 829 x 916 ) / 759364

= 829 / 916

= 829

Step2:

LCM(1, 328) = 328

GCD(1, 328) = ( 1 x 328 ) / 328

= 1 / 328

= 1

Step3:

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

= 1 / 355

= 1

So, Greatest Common Divisor of 829, 916, 328, 355 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 870, 402, 130, 745
• GCD of 636, 798, 909, 670
• GCD of 223, 640, 624, 713
• GCD of 611, 544, 151, 702
• GCD of 705, 208, 840, 833

Given numbers are 829, 916, 328, 355
The greatest common divisor of numbers 829, 916, 328, 355 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 829, 916, 328, 355 is 1.

1. What is the GCD of 829, 916, 328, 355?

GCD of given numbers 829, 916, 328, 355 is 1

2. How to calculate the greatest common divisor of 829, 916, 328, 355?

We can find the highest common divisor of 829, 916, 328, 355 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 829, 916, 328, 355 i.e 1.

3. How can I use the GCD of 829, 916, 328, 355Calculator?

Out the numbers 829, 916, 328, 355 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.