GCD of 680, 605, 948, 172 Calculator

Given Input numbers are 680, 605, 948, 172

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

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

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 680, 605, 948, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 605, 948, 172 is 1.

Therefore, GCD of numbers 680, 605, 948, 172 is 1

Given Input Data is 680, 605, 948, 172

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

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 605 is 5 x 11 x 11

Prime Factorization of 948 is 2 x 2 x 3 x 79

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(680, 605) = 82280

GCD(680, 605) = ( 680 x 605 ) / 82280

GCD(680, 605) = 411400 / 82280

GCD(680, 605) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 948

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

LCM(5, 948) = 4740

GCD(5, 948) = ( 5 x 948 ) / 4740

GCD(5, 948) = 4740 / 4740

GCD(5, 948) = 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 680, 605, 948, 172 is 1

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1. What is the GCD of 680, 605, 948, 172?

GCD of 680, 605, 948, 172 is 1

2. Where do I get the detailed procedure to find GCD of 680, 605, 948, 172?

You can find a detailed procedure to find GCD of 680, 605, 948, 172 on our page.

3. How to find GCD of 680, 605, 948, 172 on a calculator?

You can find the GCD of 680, 605, 948, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.