GCD of 34, 350, 784, 616 Calculator

Given Input numbers are 34, 350, 784, 616

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

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

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

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

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

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

Greatest Common Divisior

We found the divisors of 34, 350, 784, 616 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 350, 784, 616 is 2.

Therefore, GCD of numbers 34, 350, 784, 616 is 2

Given Input Data is 34, 350, 784, 616

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 34 is 2 x 17

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

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

LCM(34, 350) = 5950

GCD(34, 350) = ( 34 x 350 ) / 5950

GCD(34, 350) = 11900 / 5950

GCD(34, 350) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 784

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

LCM(2, 784) = 784

GCD(2, 784) = ( 2 x 784 ) / 784

GCD(2, 784) = 1568 / 784

GCD(2, 784) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 616

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

LCM(2, 616) = 616

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

GCD(2, 616) = 1232 / 616

GCD(2, 616) = 2

GCD of 34, 350, 784, 616 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 42, 530, 629, 164
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• GCD of 52, 442, 535, 668
• GCD of 70, 517, 118, 827
• GCD of 64, 117, 644, 356

1. What is the GCD of 34, 350, 784, 616?

GCD of 34, 350, 784, 616 is 2

2. Where do I get the detailed procedure to find GCD of 34, 350, 784, 616?

You can find a detailed procedure to find GCD of 34, 350, 784, 616 on our page.

3. How to find GCD of 34, 350, 784, 616 on a calculator?

You can find the GCD of 34, 350, 784, 616 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.