GCD of 460, 125, 803, 698 Calculator

Given Input numbers are 460, 125, 803, 698

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 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 803

List of positive integer divisors of 803 that divides 803 without a remainder.

1, 11, 73, 803

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Greatest Common Divisior

We found the divisors of 460, 125, 803, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 125, 803, 698 is 1.

Therefore, GCD of numbers 460, 125, 803, 698 is 1

Given Input Data is 460, 125, 803, 698

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 125 is 5 x 5 x 5

Prime Factorization of 803 is 11 x 73

Prime Factorization of 698 is 2 x 349

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, 125) = 11500

GCD(460, 125) = ( 460 x 125 ) / 11500

GCD(460, 125) = 57500 / 11500

GCD(460, 125) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 803

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

LCM(5, 803) = 4015

GCD(5, 803) = ( 5 x 803 ) / 4015

GCD(5, 803) = 4015 / 4015

GCD(5, 803) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 698

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

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 1

GCD of 460, 125, 803, 698 is 1

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• GCD of 289, 646, 461, 623

1. What is the GCD of 460, 125, 803, 698?

GCD of 460, 125, 803, 698 is 1

2. Where do I get the detailed procedure to find GCD of 460, 125, 803, 698?

You can find a detailed procedure to find GCD of 460, 125, 803, 698 on our page.

3. How to find GCD of 460, 125, 803, 698 on a calculator?

You can find the GCD of 460, 125, 803, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.