GCD of 464, 775, 875, 269 Calculator

Given Input numbers are 464, 775, 875, 269

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

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Divisors of 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

Divisors of 269

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

1, 269

Greatest Common Divisior

We found the divisors of 464, 775, 875, 269 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 464, 775, 875, 269 is 1.

Therefore, GCD of numbers 464, 775, 875, 269 is 1

Given Input Data is 464, 775, 875, 269

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

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 775 is 5 x 5 x 31

Prime Factorization of 875 is 5 x 5 x 5 x 7

Prime Factorization of 269 is 269

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(464, 775) = 359600

GCD(464, 775) = ( 464 x 775 ) / 359600

GCD(464, 775) = 359600 / 359600

GCD(464, 775) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 875

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

LCM(1, 875) = 875

GCD(1, 875) = ( 1 x 875 ) / 875

GCD(1, 875) = 875 / 875

GCD(1, 875) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 269

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

LCM(1, 269) = 269

GCD(1, 269) = ( 1 x 269 ) / 269

GCD(1, 269) = 269 / 269

GCD(1, 269) = 1

GCD of 464, 775, 875, 269 is 1

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1. What is the GCD of 464, 775, 875, 269?

GCD of 464, 775, 875, 269 is 1

2. Where do I get the detailed procedure to find GCD of 464, 775, 875, 269?

You can find a detailed procedure to find GCD of 464, 775, 875, 269 on our page.

3. How to find GCD of 464, 775, 875, 269 on a calculator?

You can find the GCD of 464, 775, 875, 269 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.