GCD of 69, 344, 965, 668 Calculator

Given Input numbers are 69, 344, 965, 668

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

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Greatest Common Divisior

We found the divisors of 69, 344, 965, 668 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 344, 965, 668 is 1.

Therefore, GCD of numbers 69, 344, 965, 668 is 1

Given Input Data is 69, 344, 965, 668

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

Prime Factorization of 69 is 3 x 23

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 965 is 5 x 193

Prime Factorization of 668 is 2 x 2 x 167

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(69, 344) = 23736

GCD(69, 344) = ( 69 x 344 ) / 23736

GCD(69, 344) = 23736 / 23736

GCD(69, 344) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 965

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

LCM(1, 965) = 965

GCD(1, 965) = ( 1 x 965 ) / 965

GCD(1, 965) = 965 / 965

GCD(1, 965) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 668

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

LCM(1, 668) = 668

GCD(1, 668) = ( 1 x 668 ) / 668

GCD(1, 668) = 668 / 668

GCD(1, 668) = 1

GCD of 69, 344, 965, 668 is 1

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1. What is the GCD of 69, 344, 965, 668?

GCD of 69, 344, 965, 668 is 1

2. Where do I get the detailed procedure to find GCD of 69, 344, 965, 668?

You can find a detailed procedure to find GCD of 69, 344, 965, 668 on our page.

3. How to find GCD of 69, 344, 965, 668 on a calculator?

You can find the GCD of 69, 344, 965, 668 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.