GCD of 784, 206, 350, 616 Calculator

Given Input numbers are 784, 206, 350, 616

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 206 :

The positive integer divisors of 206 that completely divides 206 are.

1, 2, 103, 206

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

GCD of numbers is the greatest common divisor

So, the GCD (784, 206, 350, 616) = 2.

Given numbers are 784, 206, 350, 616

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 206 are 2 x 103

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 784, 206, 350, 616 is 2.

Given numbers are 784, 206, 350, 616

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

Apply this formula for all numbers.

Step1:

LCM(784, 206) = 80752

GCD(784, 206) = ( 784 x 206 ) / 80752

= 784 / 206

= 784

Step2:

LCM(2, 350) = 350

GCD(2, 350) = ( 2 x 350 ) / 350

= 2 / 350

= 2

Step3:

LCM(2, 616) = 616

GCD(2, 616) = ( 2 x 616 ) / 616

= 2 / 616

= 2

So, Greatest Common Divisor of 784, 206, 350, 616 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 988, 433, 354, 750
• GCD of 189, 302, 939, 871
• GCD of 945, 129, 702, 854
• GCD of 421, 335, 675, 264
• GCD of 398, 306, 283, 237

Given numbers are 784, 206, 350, 616
The greatest common divisor of numbers 784, 206, 350, 616 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 206, 350, 616 is 2.

1. What is the GCD of 784, 206, 350, 616?

GCD of given numbers 784, 206, 350, 616 is 2

2. How to calculate the greatest common divisor of 784, 206, 350, 616?

We can find the highest common divisor of 784, 206, 350, 616 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, 206, 350, 616 i.e 2.

3. How can I use the GCD of 784, 206, 350, 616Calculator?

Out the numbers 784, 206, 350, 616 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.