GCD of 670, 300, 72, 295 Calculator

Given Input numbers are 670, 300, 72, 295

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

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

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 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Greatest Common Divisior

We found the divisors of 670, 300, 72, 295 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 670, 300, 72, 295 is 1.

Therefore, GCD of numbers 670, 300, 72, 295 is 1

Given Input Data is 670, 300, 72, 295

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

Prime Factorization of 670 is 2 x 5 x 67

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

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 295 is 5 x 59

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(670, 300) = 20100

GCD(670, 300) = ( 670 x 300 ) / 20100

GCD(670, 300) = 201000 / 20100

GCD(670, 300) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 72

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

LCM(10, 72) = 360

GCD(10, 72) = ( 10 x 72 ) / 360

GCD(10, 72) = 720 / 360

GCD(10, 72) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 295

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

LCM(2, 295) = 590

GCD(2, 295) = ( 2 x 295 ) / 590

GCD(2, 295) = 590 / 590

GCD(2, 295) = 1

GCD of 670, 300, 72, 295 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 578, 860, 70, 492
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• GCD of 396, 578, 31, 351

1. What is the GCD of 670, 300, 72, 295?

GCD of 670, 300, 72, 295 is 1

2. Where do I get the detailed procedure to find GCD of 670, 300, 72, 295?

You can find a detailed procedure to find GCD of 670, 300, 72, 295 on our page.

3. How to find GCD of 670, 300, 72, 295 on a calculator?

You can find the GCD of 670, 300, 72, 295 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.