GCD of 852, 847, 98, 172 Calculator

Given Input numbers are 852, 847, 98, 172

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 847

List of positive integer divisors of 847 that divides 847 without a remainder.

1, 7, 11, 77, 121, 847

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Greatest Common Divisior

We found the divisors of 852, 847, 98, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 847, 98, 172 is 1.

Therefore, GCD of numbers 852, 847, 98, 172 is 1

Given Input Data is 852, 847, 98, 172

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 847 is 7 x 11 x 11

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 172 is 2 x 2 x 43

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, 847) = 721644

GCD(852, 847) = ( 852 x 847 ) / 721644

GCD(852, 847) = 721644 / 721644

GCD(852, 847) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 98

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

LCM(1, 98) = 98

GCD(1, 98) = ( 1 x 98 ) / 98

GCD(1, 98) = 98 / 98

GCD(1, 98) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 172

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

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

GCD(1, 172) = 172 / 172

GCD(1, 172) = 1

GCD of 852, 847, 98, 172 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 495, 697, 64, 335
• GCD of 998, 176, 29, 651
• GCD of 480, 837, 46, 361
• GCD of 866, 112, 88, 624
• GCD of 807, 596, 55, 197

1. What is the GCD of 852, 847, 98, 172?

GCD of 852, 847, 98, 172 is 1

2. Where do I get the detailed procedure to find GCD of 852, 847, 98, 172?

You can find a detailed procedure to find GCD of 852, 847, 98, 172 on our page.

3. How to find GCD of 852, 847, 98, 172 on a calculator?

You can find the GCD of 852, 847, 98, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.