GCD of 784, 309, 356, 628 Calculator

Given Input numbers are 784, 309, 356, 628

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

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

GCD of numbers is the greatest common divisor

So, the GCD (784, 309, 356, 628) = 1.

Given numbers are 784, 309, 356, 628

The list of prime factors of all numbers are

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 309 are 3 x 103

Prime factors of 356 are 2 x 2 x 89

Prime factors of 628 are 2 x 2 x 157

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

Given numbers are 784, 309, 356, 628

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

Apply this formula for all numbers.

Step1:

LCM(784, 309) = 242256

GCD(784, 309) = ( 784 x 309 ) / 242256

= 784 / 309

= 784

Step2:

LCM(1, 356) = 356

GCD(1, 356) = ( 1 x 356 ) / 356

= 1 / 356

= 1

Step3:

LCM(1, 628) = 628

GCD(1, 628) = ( 1 x 628 ) / 628

= 1 / 628

= 1

So, Greatest Common Divisor of 784, 309, 356, 628 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 991, 213, 391, 791
• GCD of 203, 871, 899, 628
• GCD of 438, 366, 386, 383
• GCD of 933, 817, 964, 326
• GCD of 858, 662, 471, 842

Given numbers are 784, 309, 356, 628
The greatest common divisor of numbers 784, 309, 356, 628 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 309, 356, 628 is 1.

1. What is the GCD of 784, 309, 356, 628?

GCD of given numbers 784, 309, 356, 628 is 1

2. How to calculate the greatest common divisor of 784, 309, 356, 628?

We can find the highest common divisor of 784, 309, 356, 628 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 784, 309, 356, 628 i.e 1.

3. How can I use the GCD of 784, 309, 356, 628Calculator?

Out the numbers 784, 309, 356, 628 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.