GCD of 670, 105, 43, 825 Calculator

Given Input numbers are 670, 105, 43, 825

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 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Greatest Common Divisior

We found the divisors of 670, 105, 43, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 670, 105, 43, 825 is 1.

Therefore, GCD of numbers 670, 105, 43, 825 is 1

Given Input Data is 670, 105, 43, 825

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 105 is 3 x 5 x 7

Prime Factorization of 43 is 43

Prime Factorization of 825 is 3 x 5 x 5 x 11

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, 105) = 14070

GCD(670, 105) = ( 670 x 105 ) / 14070

GCD(670, 105) = 70350 / 14070

GCD(670, 105) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 43

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

LCM(5, 43) = 215

GCD(5, 43) = ( 5 x 43 ) / 215

GCD(5, 43) = 215 / 215

GCD(5, 43) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 825

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

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

GCD(1, 825) = 825 / 825

GCD(1, 825) = 1

GCD of 670, 105, 43, 825 is 1

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• GCD of 386, 652, 14, 110
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1. What is the GCD of 670, 105, 43, 825?

GCD of 670, 105, 43, 825 is 1

2. Where do I get the detailed procedure to find GCD of 670, 105, 43, 825?

You can find a detailed procedure to find GCD of 670, 105, 43, 825 on our page.

3. How to find GCD of 670, 105, 43, 825 on a calculator?

You can find the GCD of 670, 105, 43, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.