GCD of 105, 341, 26, 670 Calculator

Given Input numbers are 105, 341, 26, 670

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 341

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

1, 11, 31, 341

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Greatest Common Divisior

We found the divisors of 105, 341, 26, 670 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 341, 26, 670 is 1.

Therefore, GCD of numbers 105, 341, 26, 670 is 1

Given Input Data is 105, 341, 26, 670

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 341 is 11 x 31

Prime Factorization of 26 is 2 x 13

Prime Factorization of 670 is 2 x 5 x 67

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(105, 341) = 35805

GCD(105, 341) = ( 105 x 341 ) / 35805

GCD(105, 341) = 35805 / 35805

GCD(105, 341) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 26

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

LCM(1, 26) = 26

GCD(1, 26) = ( 1 x 26 ) / 26

GCD(1, 26) = 26 / 26

GCD(1, 26) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 670

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

LCM(1, 670) = 670

GCD(1, 670) = ( 1 x 670 ) / 670

GCD(1, 670) = 670 / 670

GCD(1, 670) = 1

GCD of 105, 341, 26, 670 is 1

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1. What is the GCD of 105, 341, 26, 670?

GCD of 105, 341, 26, 670 is 1

2. Where do I get the detailed procedure to find GCD of 105, 341, 26, 670?

You can find a detailed procedure to find GCD of 105, 341, 26, 670 on our page.

3. How to find GCD of 105, 341, 26, 670 on a calculator?

You can find the GCD of 105, 341, 26, 670 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.