GCD of 269, 400, 61, 574 Calculator

Given Input numbers are 269, 400, 61, 574

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

Divisors of 269

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

1, 269

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Greatest Common Divisior

We found the divisors of 269, 400, 61, 574 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 269, 400, 61, 574 is 1.

Therefore, GCD of numbers 269, 400, 61, 574 is 1

Given Input Data is 269, 400, 61, 574

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

Prime Factorization of 269 is 269

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 61 is 61

Prime Factorization of 574 is 2 x 7 x 41

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(269, 400) = 107600

GCD(269, 400) = ( 269 x 400 ) / 107600

GCD(269, 400) = 107600 / 107600

GCD(269, 400) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 61

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

LCM(1, 61) = 61

GCD(1, 61) = ( 1 x 61 ) / 61

GCD(1, 61) = 61 / 61

GCD(1, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 574

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

LCM(1, 574) = 574

GCD(1, 574) = ( 1 x 574 ) / 574

GCD(1, 574) = 574 / 574

GCD(1, 574) = 1

GCD of 269, 400, 61, 574 is 1

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1. What is the GCD of 269, 400, 61, 574?

GCD of 269, 400, 61, 574 is 1

2. Where do I get the detailed procedure to find GCD of 269, 400, 61, 574?

You can find a detailed procedure to find GCD of 269, 400, 61, 574 on our page.

3. How to find GCD of 269, 400, 61, 574 on a calculator?

You can find the GCD of 269, 400, 61, 574 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.