GCD of 969, 478, 448, 660 Calculator

Given Input numbers are 969, 478, 448, 660

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 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Greatest Common Divisior

We found the divisors of 969, 478, 448, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 478, 448, 660 is 1.

Therefore, GCD of numbers 969, 478, 448, 660 is 1

Given Input Data is 969, 478, 448, 660

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 478 is 2 x 239

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

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, 478) = 463182

GCD(969, 478) = ( 969 x 478 ) / 463182

GCD(969, 478) = 463182 / 463182

GCD(969, 478) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 448

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

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

GCD(1, 448) = 448 / 448

GCD(1, 448) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 660

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

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

GCD(1, 660) = 660 / 660

GCD(1, 660) = 1

GCD of 969, 478, 448, 660 is 1

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1. What is the GCD of 969, 478, 448, 660?

GCD of 969, 478, 448, 660 is 1

2. Where do I get the detailed procedure to find GCD of 969, 478, 448, 660?

You can find a detailed procedure to find GCD of 969, 478, 448, 660 on our page.

3. How to find GCD of 969, 478, 448, 660 on a calculator?

You can find the GCD of 969, 478, 448, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.