GCD of 340, 260, 29, 975 Calculator

Given Input numbers are 340, 260, 29, 975

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

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Greatest Common Divisior

We found the divisors of 340, 260, 29, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 260, 29, 975 is 1.

Therefore, GCD of numbers 340, 260, 29, 975 is 1

Given Input Data is 340, 260, 29, 975

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

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 29 is 29

Prime Factorization of 975 is 3 x 5 x 5 x 13

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(340, 260) = 4420

GCD(340, 260) = ( 340 x 260 ) / 4420

GCD(340, 260) = 88400 / 4420

GCD(340, 260) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 29

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

LCM(20, 29) = 580

GCD(20, 29) = ( 20 x 29 ) / 580

GCD(20, 29) = 580 / 580

GCD(20, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 975

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

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

GCD(1, 975) = 975 / 975

GCD(1, 975) = 1

GCD of 340, 260, 29, 975 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 852, 117, 78, 900
• GCD of 629, 368, 81, 603
• GCD of 269, 975, 82, 714
• GCD of 842, 254, 57, 151
• GCD of 202, 373, 37, 769

1. What is the GCD of 340, 260, 29, 975?

GCD of 340, 260, 29, 975 is 1

2. Where do I get the detailed procedure to find GCD of 340, 260, 29, 975?

You can find a detailed procedure to find GCD of 340, 260, 29, 975 on our page.

3. How to find GCD of 340, 260, 29, 975 on a calculator?

You can find the GCD of 340, 260, 29, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.