GCD of 969, 452, 240, 105 Calculator

Given Input numbers are 969, 452, 240, 105

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 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Greatest Common Divisior

We found the divisors of 969, 452, 240, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 452, 240, 105 is 1.

Therefore, GCD of numbers 969, 452, 240, 105 is 1

Given Input Data is 969, 452, 240, 105

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 452 is 2 x 2 x 113

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 105 is 3 x 5 x 7

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, 452) = 437988

GCD(969, 452) = ( 969 x 452 ) / 437988

GCD(969, 452) = 437988 / 437988

GCD(969, 452) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 240

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

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

GCD(1, 240) = 240 / 240

GCD(1, 240) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

GCD of 969, 452, 240, 105 is 1

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1. What is the GCD of 969, 452, 240, 105?

GCD of 969, 452, 240, 105 is 1

2. Where do I get the detailed procedure to find GCD of 969, 452, 240, 105?

You can find a detailed procedure to find GCD of 969, 452, 240, 105 on our page.

3. How to find GCD of 969, 452, 240, 105 on a calculator?

You can find the GCD of 969, 452, 240, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.