GCD of 680, 840, 177, 162 Calculator

Given Input numbers are 680, 840, 177, 162

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 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Greatest Common Divisior

We found the divisors of 680, 840, 177, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 840, 177, 162 is 1.

Therefore, GCD of numbers 680, 840, 177, 162 is 1

Given Input Data is 680, 840, 177, 162

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 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 177 is 3 x 59

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

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, 840) = 14280

GCD(680, 840) = ( 680 x 840 ) / 14280

GCD(680, 840) = 571200 / 14280

GCD(680, 840) = 40

Step2:

Here we consider the GCD from the above i.e. 40 as first number and the next as 177

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

LCM(40, 177) = 7080

GCD(40, 177) = ( 40 x 177 ) / 7080

GCD(40, 177) = 7080 / 7080

GCD(40, 177) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 162

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

LCM(1, 162) = 162

GCD(1, 162) = ( 1 x 162 ) / 162

GCD(1, 162) = 162 / 162

GCD(1, 162) = 1

GCD of 680, 840, 177, 162 is 1

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1. What is the GCD of 680, 840, 177, 162?

GCD of 680, 840, 177, 162 is 1

2. Where do I get the detailed procedure to find GCD of 680, 840, 177, 162?

You can find a detailed procedure to find GCD of 680, 840, 177, 162 on our page.

3. How to find GCD of 680, 840, 177, 162 on a calculator?

You can find the GCD of 680, 840, 177, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.