GCD of 69, 758, 614, 346 Calculator

Given Input numbers are 69, 758, 614, 346

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 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Greatest Common Divisior

We found the divisors of 69, 758, 614, 346 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 758, 614, 346 is 1.

Therefore, GCD of numbers 69, 758, 614, 346 is 1

Given Input Data is 69, 758, 614, 346

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

Prime Factorization of 69 is 3 x 23

Prime Factorization of 758 is 2 x 379

Prime Factorization of 614 is 2 x 307

Prime Factorization of 346 is 2 x 173

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, 758) = 52302

GCD(69, 758) = ( 69 x 758 ) / 52302

GCD(69, 758) = 52302 / 52302

GCD(69, 758) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 614

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

LCM(1, 614) = 614

GCD(1, 614) = ( 1 x 614 ) / 614

GCD(1, 614) = 614 / 614

GCD(1, 614) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 346

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

LCM(1, 346) = 346

GCD(1, 346) = ( 1 x 346 ) / 346

GCD(1, 346) = 346 / 346

GCD(1, 346) = 1

GCD of 69, 758, 614, 346 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 87, 383, 962, 564
• GCD of 36, 611, 132, 627
• GCD of 26, 255, 925, 812
• GCD of 58, 834, 235, 811
• GCD of 82, 902, 784, 346

1. What is the GCD of 69, 758, 614, 346?

GCD of 69, 758, 614, 346 is 1

2. Where do I get the detailed procedure to find GCD of 69, 758, 614, 346?

You can find a detailed procedure to find GCD of 69, 758, 614, 346 on our page.

3. How to find GCD of 69, 758, 614, 346 on a calculator?

You can find the GCD of 69, 758, 614, 346 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.