GCD of 348, 797, 686, 967 Calculator

Given Input numbers are 348, 797, 686, 967

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

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 797

List of positive integer divisors of 797 that divides 797 without a remainder.

1, 797

Divisors of 686

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

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

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Greatest Common Divisior

We found the divisors of 348, 797, 686, 967 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 797, 686, 967 is 1.

Therefore, GCD of numbers 348, 797, 686, 967 is 1

Given Input Data is 348, 797, 686, 967

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

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 797 is 797

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

Prime Factorization of 967 is 967

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(348, 797) = 277356

GCD(348, 797) = ( 348 x 797 ) / 277356

GCD(348, 797) = 277356 / 277356

GCD(348, 797) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 967

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

LCM(1, 967) = 967

GCD(1, 967) = ( 1 x 967 ) / 967

GCD(1, 967) = 967 / 967

GCD(1, 967) = 1

GCD of 348, 797, 686, 967 is 1

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1. What is the GCD of 348, 797, 686, 967?

GCD of 348, 797, 686, 967 is 1

2. Where do I get the detailed procedure to find GCD of 348, 797, 686, 967?

You can find a detailed procedure to find GCD of 348, 797, 686, 967 on our page.

3. How to find GCD of 348, 797, 686, 967 on a calculator?

You can find the GCD of 348, 797, 686, 967 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.