GCD of 852, 670, 169, 698 Calculator

Given Input numbers are 852, 670, 169, 698

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

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

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 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Greatest Common Divisior

We found the divisors of 852, 670, 169, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 670, 169, 698 is 1.

Therefore, GCD of numbers 852, 670, 169, 698 is 1

Given Input Data is 852, 670, 169, 698

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

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 670 is 2 x 5 x 67

Prime Factorization of 169 is 13 x 13

Prime Factorization of 698 is 2 x 349

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(852, 670) = 285420

GCD(852, 670) = ( 852 x 670 ) / 285420

GCD(852, 670) = 570840 / 285420

GCD(852, 670) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 169

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

LCM(2, 169) = 338

GCD(2, 169) = ( 2 x 169 ) / 338

GCD(2, 169) = 338 / 338

GCD(2, 169) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 698

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

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 1

GCD of 852, 670, 169, 698 is 1

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1. What is the GCD of 852, 670, 169, 698?

GCD of 852, 670, 169, 698 is 1

2. Where do I get the detailed procedure to find GCD of 852, 670, 169, 698?

You can find a detailed procedure to find GCD of 852, 670, 169, 698 on our page.

3. How to find GCD of 852, 670, 169, 698 on a calculator?

You can find the GCD of 852, 670, 169, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.