GCD of 670, 648, 967, 173 Calculator

Given Input numbers are 670, 648, 967, 173

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 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Divisors of 173

List of positive integer divisors of 173 that divides 173 without a remainder.

1, 173

Greatest Common Divisior

We found the divisors of 670, 648, 967, 173 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 670, 648, 967, 173 is 1.

Therefore, GCD of numbers 670, 648, 967, 173 is 1

Given Input Data is 670, 648, 967, 173

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 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 967 is 967

Prime Factorization of 173 is 173

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, 648) = 217080

GCD(670, 648) = ( 670 x 648 ) / 217080

GCD(670, 648) = 434160 / 217080

GCD(670, 648) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 967

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

LCM(2, 967) = 1934

GCD(2, 967) = ( 2 x 967 ) / 1934

GCD(2, 967) = 1934 / 1934

GCD(2, 967) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 173

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

LCM(1, 173) = 173

GCD(1, 173) = ( 1 x 173 ) / 173

GCD(1, 173) = 173 / 173

GCD(1, 173) = 1

GCD of 670, 648, 967, 173 is 1

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1. What is the GCD of 670, 648, 967, 173?

GCD of 670, 648, 967, 173 is 1

2. Where do I get the detailed procedure to find GCD of 670, 648, 967, 173?

You can find a detailed procedure to find GCD of 670, 648, 967, 173 on our page.

3. How to find GCD of 670, 648, 967, 173 on a calculator?

You can find the GCD of 670, 648, 967, 173 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.