GCD of 340, 212, 91, 348 Calculator

Given Input numbers are 340, 212, 91, 348

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

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

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

Greatest Common Divisior

We found the divisors of 340, 212, 91, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 212, 91, 348 is 1.

Therefore, GCD of numbers 340, 212, 91, 348 is 1

Given Input Data is 340, 212, 91, 348

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

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 91 is 7 x 13

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

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(340, 212) = 18020

GCD(340, 212) = ( 340 x 212 ) / 18020

GCD(340, 212) = 72080 / 18020

GCD(340, 212) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 91

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

LCM(4, 91) = 364

GCD(4, 91) = ( 4 x 91 ) / 364

GCD(4, 91) = 364 / 364

GCD(4, 91) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 348

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

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

GCD(1, 348) = 348 / 348

GCD(1, 348) = 1

GCD of 340, 212, 91, 348 is 1

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• GCD of 470, 954, 54, 798
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1. What is the GCD of 340, 212, 91, 348?

GCD of 340, 212, 91, 348 is 1

2. Where do I get the detailed procedure to find GCD of 340, 212, 91, 348?

You can find a detailed procedure to find GCD of 340, 212, 91, 348 on our page.

3. How to find GCD of 340, 212, 91, 348 on a calculator?

You can find the GCD of 340, 212, 91, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.