GCD of 29, 105, 690, 975 Calculator

Given Input numbers are 29, 105, 690, 975

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

Divisors of 29

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

1, 29

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 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

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 29, 105, 690, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 29, 105, 690, 975 is 1.

Therefore, GCD of numbers 29, 105, 690, 975 is 1

Given Input Data is 29, 105, 690, 975

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

Prime Factorization of 29 is 29

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 690 is 2 x 3 x 5 x 23

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(29, 105) = 3045

GCD(29, 105) = ( 29 x 105 ) / 3045

GCD(29, 105) = 3045 / 3045

GCD(29, 105) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

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

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 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 29, 105, 690, 975 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 66, 324, 212, 354
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• GCD of 34, 761, 681, 215

1. What is the GCD of 29, 105, 690, 975?

GCD of 29, 105, 690, 975 is 1

2. Where do I get the detailed procedure to find GCD of 29, 105, 690, 975?

You can find a detailed procedure to find GCD of 29, 105, 690, 975 on our page.

3. How to find GCD of 29, 105, 690, 975 on a calculator?

You can find the GCD of 29, 105, 690, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.