GCD of 460, 840, 375, 179 Calculator

Given Input numbers are 460, 840, 375, 179

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

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 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 179

List of positive integer divisors of 179 that divides 179 without a remainder.

1, 179

Greatest Common Divisior

We found the divisors of 460, 840, 375, 179 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 840, 375, 179 is 1.

Therefore, GCD of numbers 460, 840, 375, 179 is 1

Given Input Data is 460, 840, 375, 179

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 375 is 3 x 5 x 5 x 5

Prime Factorization of 179 is 179

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(460, 840) = 19320

GCD(460, 840) = ( 460 x 840 ) / 19320

GCD(460, 840) = 386400 / 19320

GCD(460, 840) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 375

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

LCM(20, 375) = 1500

GCD(20, 375) = ( 20 x 375 ) / 1500

GCD(20, 375) = 7500 / 1500

GCD(20, 375) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 179

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

LCM(5, 179) = 895

GCD(5, 179) = ( 5 x 179 ) / 895

GCD(5, 179) = 895 / 895

GCD(5, 179) = 1

GCD of 460, 840, 375, 179 is 1

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1. What is the GCD of 460, 840, 375, 179?

GCD of 460, 840, 375, 179 is 1

2. Where do I get the detailed procedure to find GCD of 460, 840, 375, 179?

You can find a detailed procedure to find GCD of 460, 840, 375, 179 on our page.

3. How to find GCD of 460, 840, 375, 179 on a calculator?

You can find the GCD of 460, 840, 375, 179 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.