GCD of 969, 275, 75, 206 Calculator

Given Input numbers are 969, 275, 75, 206

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

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Greatest Common Divisior

We found the divisors of 969, 275, 75, 206 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 275, 75, 206 is 1.

Therefore, GCD of numbers 969, 275, 75, 206 is 1

Given Input Data is 969, 275, 75, 206

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

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 275 is 5 x 5 x 11

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 206 is 2 x 103

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(969, 275) = 266475

GCD(969, 275) = ( 969 x 275 ) / 266475

GCD(969, 275) = 266475 / 266475

GCD(969, 275) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 206

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

LCM(1, 206) = 206

GCD(1, 206) = ( 1 x 206 ) / 206

GCD(1, 206) = 206 / 206

GCD(1, 206) = 1

GCD of 969, 275, 75, 206 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 740, 747, 48, 816
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• GCD of 254, 474, 80, 120

1. What is the GCD of 969, 275, 75, 206?

GCD of 969, 275, 75, 206 is 1

2. Where do I get the detailed procedure to find GCD of 969, 275, 75, 206?

You can find a detailed procedure to find GCD of 969, 275, 75, 206 on our page.

3. How to find GCD of 969, 275, 75, 206 on a calculator?

You can find the GCD of 969, 275, 75, 206 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.