GCD of 300, 263, 67, 675 Calculator

Given Input numbers are 300, 263, 67, 675

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

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 263

List of positive integer divisors of 263 that divides 263 without a remainder.

1, 263

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Greatest Common Divisior

We found the divisors of 300, 263, 67, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 263, 67, 675 is 1.

Therefore, GCD of numbers 300, 263, 67, 675 is 1

Given Input Data is 300, 263, 67, 675

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

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 263 is 263

Prime Factorization of 67 is 67

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

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(300, 263) = 78900

GCD(300, 263) = ( 300 x 263 ) / 78900

GCD(300, 263) = 78900 / 78900

GCD(300, 263) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 67

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

LCM(1, 67) = 67

GCD(1, 67) = ( 1 x 67 ) / 67

GCD(1, 67) = 67 / 67

GCD(1, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 675

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

LCM(1, 675) = 675

GCD(1, 675) = ( 1 x 675 ) / 675

GCD(1, 675) = 675 / 675

GCD(1, 675) = 1

GCD of 300, 263, 67, 675 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 172, 750, 67, 323
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• GCD of 585, 261, 13, 339
• GCD of 410, 238, 96, 291
• GCD of 620, 292, 78, 598

1. What is the GCD of 300, 263, 67, 675?

GCD of 300, 263, 67, 675 is 1

2. Where do I get the detailed procedure to find GCD of 300, 263, 67, 675?

You can find a detailed procedure to find GCD of 300, 263, 67, 675 on our page.

3. How to find GCD of 300, 263, 67, 675 on a calculator?

You can find the GCD of 300, 263, 67, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.