GCD of 342, 790, 88, 784 Calculator

Given Input numbers are 342, 790, 88, 784

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

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

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

Greatest Common Divisior

We found the divisors of 342, 790, 88, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 790, 88, 784 is 2.

Therefore, GCD of numbers 342, 790, 88, 784 is 2

Given Input Data is 342, 790, 88, 784

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

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 790 is 2 x 5 x 79

Prime Factorization of 88 is 2 x 2 x 2 x 11

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

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(342, 790) = 135090

GCD(342, 790) = ( 342 x 790 ) / 135090

GCD(342, 790) = 270180 / 135090

GCD(342, 790) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 88

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

LCM(2, 88) = 88

GCD(2, 88) = ( 2 x 88 ) / 88

GCD(2, 88) = 176 / 88

GCD(2, 88) = 2

Step3:

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

GCD of 342, 790, 88, 784 is 2

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1. What is the GCD of 342, 790, 88, 784?

GCD of 342, 790, 88, 784 is 2

2. Where do I get the detailed procedure to find GCD of 342, 790, 88, 784?

You can find a detailed procedure to find GCD of 342, 790, 88, 784 on our page.

3. How to find GCD of 342, 790, 88, 784 on a calculator?

You can find the GCD of 342, 790, 88, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.