GCD of 960, 269, 699, 557 Calculator

Given Input numbers are 960, 269, 699, 557

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

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Greatest Common Divisior

We found the divisors of 960, 269, 699, 557 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 269, 699, 557 is 1.

Therefore, GCD of numbers 960, 269, 699, 557 is 1

Given Input Data is 960, 269, 699, 557

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

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 269 is 269

Prime Factorization of 699 is 3 x 233

Prime Factorization of 557 is 557

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(960, 269) = 258240

GCD(960, 269) = ( 960 x 269 ) / 258240

GCD(960, 269) = 258240 / 258240

GCD(960, 269) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 699

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

LCM(1, 699) = 699

GCD(1, 699) = ( 1 x 699 ) / 699

GCD(1, 699) = 699 / 699

GCD(1, 699) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 557

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

LCM(1, 557) = 557

GCD(1, 557) = ( 1 x 557 ) / 557

GCD(1, 557) = 557 / 557

GCD(1, 557) = 1

GCD of 960, 269, 699, 557 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 442, 349, 235, 587
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• GCD of 219, 374, 426, 113
• GCD of 452, 586, 219, 834
• GCD of 786, 927, 449, 737

1. What is the GCD of 960, 269, 699, 557?

GCD of 960, 269, 699, 557 is 1

2. Where do I get the detailed procedure to find GCD of 960, 269, 699, 557?

You can find a detailed procedure to find GCD of 960, 269, 699, 557 on our page.

3. How to find GCD of 960, 269, 699, 557 on a calculator?

You can find the GCD of 960, 269, 699, 557 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.