GCD of 736, 828, 809, 316 Calculator

Given Input numbers are 736, 828, 809, 316

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

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

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

Divisors of 809 :

The positive integer divisors of 809 that completely divides 809 are.

1, 809

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

GCD of numbers is the greatest common divisor

So, the GCD (736, 828, 809, 316) = 1.

Given numbers are 736, 828, 809, 316

The list of prime factors of all numbers are

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

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

Prime factors of 809 are 809

Prime factors of 316 are 2 x 2 x 79

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

Given numbers are 736, 828, 809, 316

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

Apply this formula for all numbers.

Step1:

LCM(736, 828) = 6624

GCD(736, 828) = ( 736 x 828 ) / 6624

= 736 / 828

= 736

Step2:

LCM(92, 809) = 74428

GCD(92, 809) = ( 92 x 809 ) / 74428

= 92 / 809

= 92

Step3:

LCM(1, 316) = 316

GCD(1, 316) = ( 1 x 316 ) / 316

= 1 / 316

= 1

So, Greatest Common Divisor of 736, 828, 809, 316 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 278, 230, 303, 310
• GCD of 745, 811, 732, 613
• GCD of 900, 558, 606, 374
• GCD of 980, 487, 660, 640
• GCD of 846, 315, 903, 302

Given numbers are 736, 828, 809, 316
The greatest common divisor of numbers 736, 828, 809, 316 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 736, 828, 809, 316 is 1.

1. What is the GCD of 736, 828, 809, 316?

GCD of given numbers 736, 828, 809, 316 is 1

2. How to calculate the greatest common divisor of 736, 828, 809, 316?

We can find the highest common divisor of 736, 828, 809, 316 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 736, 828, 809, 316 i.e 1.

3. How can I use the GCD of 736, 828, 809, 316Calculator?

Out the numbers 736, 828, 809, 316 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.