GCD of 75, 362, 267, 545 Calculator

Given Input numbers are 75, 362, 267, 545

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

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Greatest Common Divisior

We found the divisors of 75, 362, 267, 545 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 362, 267, 545 is 1.

Therefore, GCD of numbers 75, 362, 267, 545 is 1

Given Input Data is 75, 362, 267, 545

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

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 362 is 2 x 181

Prime Factorization of 267 is 3 x 89

Prime Factorization of 545 is 5 x 109

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(75, 362) = 27150

GCD(75, 362) = ( 75 x 362 ) / 27150

GCD(75, 362) = 27150 / 27150

GCD(75, 362) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 267

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

LCM(1, 267) = 267

GCD(1, 267) = ( 1 x 267 ) / 267

GCD(1, 267) = 267 / 267

GCD(1, 267) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 545

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

LCM(1, 545) = 545

GCD(1, 545) = ( 1 x 545 ) / 545

GCD(1, 545) = 545 / 545

GCD(1, 545) = 1

GCD of 75, 362, 267, 545 is 1

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1. What is the GCD of 75, 362, 267, 545?

GCD of 75, 362, 267, 545 is 1

2. Where do I get the detailed procedure to find GCD of 75, 362, 267, 545?

You can find a detailed procedure to find GCD of 75, 362, 267, 545 on our page.

3. How to find GCD of 75, 362, 267, 545 on a calculator?

You can find the GCD of 75, 362, 267, 545 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.