GCD of 341, 263, 74, 699 Calculator

Given Input numbers are 341, 263, 74, 699

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

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Divisors of 263

List of positive integer divisors of 263 that divides 263 without a remainder.

1, 263

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Greatest Common Divisior

We found the divisors of 341, 263, 74, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 341, 263, 74, 699 is 1.

Therefore, GCD of numbers 341, 263, 74, 699 is 1

Given Input Data is 341, 263, 74, 699

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

Prime Factorization of 341 is 11 x 31

Prime Factorization of 263 is 263

Prime Factorization of 74 is 2 x 37

Prime Factorization of 699 is 3 x 233

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(341, 263) = 89683

GCD(341, 263) = ( 341 x 263 ) / 89683

GCD(341, 263) = 89683 / 89683

GCD(341, 263) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 699

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

LCM(1, 699) = 699

GCD(1, 699) = ( 1 x 699 ) / 699

GCD(1, 699) = 699 / 699

GCD(1, 699) = 1

GCD of 341, 263, 74, 699 is 1

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1. What is the GCD of 341, 263, 74, 699?

GCD of 341, 263, 74, 699 is 1

2. Where do I get the detailed procedure to find GCD of 341, 263, 74, 699?

You can find a detailed procedure to find GCD of 341, 263, 74, 699 on our page.

3. How to find GCD of 341, 263, 74, 699 on a calculator?

You can find the GCD of 341, 263, 74, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.