GCD of 688, 690, 852, 187 Calculator

Given Input numbers are 688, 690, 852, 187

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

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

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 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Greatest Common Divisior

We found the divisors of 688, 690, 852, 187 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 690, 852, 187 is 1.

Therefore, GCD of numbers 688, 690, 852, 187 is 1

Given Input Data is 688, 690, 852, 187

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

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 690 is 2 x 3 x 5 x 23

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

Prime Factorization of 187 is 11 x 17

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(688, 690) = 237360

GCD(688, 690) = ( 688 x 690 ) / 237360

GCD(688, 690) = 474720 / 237360

GCD(688, 690) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 852

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

LCM(2, 852) = 852

GCD(2, 852) = ( 2 x 852 ) / 852

GCD(2, 852) = 1704 / 852

GCD(2, 852) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 187

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

LCM(2, 187) = 374

GCD(2, 187) = ( 2 x 187 ) / 374

GCD(2, 187) = 374 / 374

GCD(2, 187) = 1

GCD of 688, 690, 852, 187 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 108, 804, 928, 376
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• GCD of 379, 513, 431, 690
• GCD of 619, 344, 608, 791
• GCD of 991, 286, 724, 144

1. What is the GCD of 688, 690, 852, 187?

GCD of 688, 690, 852, 187 is 1

2. Where do I get the detailed procedure to find GCD of 688, 690, 852, 187?

You can find a detailed procedure to find GCD of 688, 690, 852, 187 on our page.

3. How to find GCD of 688, 690, 852, 187 on a calculator?

You can find the GCD of 688, 690, 852, 187 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.