GCD of 210, 670, 954, 825 Calculator

Given Input numbers are 210, 670, 954, 825

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

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

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 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

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 210, 670, 954, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 670, 954, 825 is 1.

Therefore, GCD of numbers 210, 670, 954, 825 is 1

Given Input Data is 210, 670, 954, 825

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

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 670 is 2 x 5 x 67

Prime Factorization of 954 is 2 x 3 x 3 x 53

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(210, 670) = 14070

GCD(210, 670) = ( 210 x 670 ) / 14070

GCD(210, 670) = 140700 / 14070

GCD(210, 670) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 954

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

LCM(10, 954) = 4770

GCD(10, 954) = ( 10 x 954 ) / 4770

GCD(10, 954) = 9540 / 4770

GCD(10, 954) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 825

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

LCM(2, 825) = 1650

GCD(2, 825) = ( 2 x 825 ) / 1650

GCD(2, 825) = 1650 / 1650

GCD(2, 825) = 1

GCD of 210, 670, 954, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 353, 217, 427, 678
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1. What is the GCD of 210, 670, 954, 825?

GCD of 210, 670, 954, 825 is 1

2. Where do I get the detailed procedure to find GCD of 210, 670, 954, 825?

You can find a detailed procedure to find GCD of 210, 670, 954, 825 on our page.

3. How to find GCD of 210, 670, 954, 825 on a calculator?

You can find the GCD of 210, 670, 954, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.