GCD of 86, 349, 742, 209 Calculator

Given Input numbers are 86, 349, 742, 209

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

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Greatest Common Divisior

We found the divisors of 86, 349, 742, 209 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 86, 349, 742, 209 is 1.

Therefore, GCD of numbers 86, 349, 742, 209 is 1

Given Input Data is 86, 349, 742, 209

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

Prime Factorization of 86 is 2 x 43

Prime Factorization of 349 is 349

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 209 is 11 x 19

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(86, 349) = 30014

GCD(86, 349) = ( 86 x 349 ) / 30014

GCD(86, 349) = 30014 / 30014

GCD(86, 349) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 209

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

LCM(1, 209) = 209

GCD(1, 209) = ( 1 x 209 ) / 209

GCD(1, 209) = 209 / 209

GCD(1, 209) = 1

GCD of 86, 349, 742, 209 is 1

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• GCD of 89, 140, 777, 738
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• GCD of 61, 134, 493, 922
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• GCD of 51, 580, 606, 752

1. What is the GCD of 86, 349, 742, 209?

GCD of 86, 349, 742, 209 is 1

2. Where do I get the detailed procedure to find GCD of 86, 349, 742, 209?

You can find a detailed procedure to find GCD of 86, 349, 742, 209 on our page.

3. How to find GCD of 86, 349, 742, 209 on a calculator?

You can find the GCD of 86, 349, 742, 209 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.