GCD of 340, 833, 87, 172 Calculator

Given Input numbers are 340, 833, 87, 172

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

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 833

List of positive integer divisors of 833 that divides 833 without a remainder.

1, 7, 17, 49, 119, 833

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

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 340, 833, 87, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 833, 87, 172 is 1.

Therefore, GCD of numbers 340, 833, 87, 172 is 1

Given Input Data is 340, 833, 87, 172

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

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 833 is 7 x 7 x 17

Prime Factorization of 87 is 3 x 29

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(340, 833) = 16660

GCD(340, 833) = ( 340 x 833 ) / 16660

GCD(340, 833) = 283220 / 16660

GCD(340, 833) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 87

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

LCM(17, 87) = 1479

GCD(17, 87) = ( 17 x 87 ) / 1479

GCD(17, 87) = 1479 / 1479

GCD(17, 87) = 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 340, 833, 87, 172 is 1

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1. What is the GCD of 340, 833, 87, 172?

GCD of 340, 833, 87, 172 is 1

2. Where do I get the detailed procedure to find GCD of 340, 833, 87, 172?

You can find a detailed procedure to find GCD of 340, 833, 87, 172 on our page.

3. How to find GCD of 340, 833, 87, 172 on a calculator?

You can find the GCD of 340, 833, 87, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.