GCD of 296, 565, 346, 686 Calculator

Given Input numbers are 296, 565, 346, 686

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

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Greatest Common Divisior

We found the divisors of 296, 565, 346, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 296, 565, 346, 686 is 1.

Therefore, GCD of numbers 296, 565, 346, 686 is 1

Given Input Data is 296, 565, 346, 686

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

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 565 is 5 x 113

Prime Factorization of 346 is 2 x 173

Prime Factorization of 686 is 2 x 7 x 7 x 7

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

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(296, 565) = 167240

GCD(296, 565) = ( 296 x 565 ) / 167240

GCD(296, 565) = 167240 / 167240

GCD(296, 565) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 346

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

LCM(1, 346) = 346

GCD(1, 346) = ( 1 x 346 ) / 346

GCD(1, 346) = 346 / 346

GCD(1, 346) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 686

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

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

GCD(1, 686) = 686 / 686

GCD(1, 686) = 1

GCD of 296, 565, 346, 686 is 1

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1. What is the GCD of 296, 565, 346, 686?

GCD of 296, 565, 346, 686 is 1

2. Where do I get the detailed procedure to find GCD of 296, 565, 346, 686?

You can find a detailed procedure to find GCD of 296, 565, 346, 686 on our page.

3. How to find GCD of 296, 565, 346, 686 on a calculator?

You can find the GCD of 296, 565, 346, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.