GCD of 90, 460, 681, 343 Calculator

Given Input numbers are 90, 460, 681, 343

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

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

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 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Greatest Common Divisior

We found the divisors of 90, 460, 681, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 460, 681, 343 is 1.

Therefore, GCD of numbers 90, 460, 681, 343 is 1

Given Input Data is 90, 460, 681, 343

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

Prime Factorization of 90 is 2 x 3 x 3 x 5

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

Prime Factorization of 681 is 3 x 227

Prime Factorization of 343 is 7 x 7 x 7

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(90, 460) = 4140

GCD(90, 460) = ( 90 x 460 ) / 4140

GCD(90, 460) = 41400 / 4140

GCD(90, 460) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 681

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

LCM(10, 681) = 6810

GCD(10, 681) = ( 10 x 681 ) / 6810

GCD(10, 681) = 6810 / 6810

GCD(10, 681) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 343

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

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

GCD(1, 343) = 343 / 343

GCD(1, 343) = 1

GCD of 90, 460, 681, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 62, 642, 442, 478
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• GCD of 99, 896, 290, 244
• GCD of 45, 234, 684, 688
• GCD of 11, 255, 761, 114

1. What is the GCD of 90, 460, 681, 343?

GCD of 90, 460, 681, 343 is 1

2. Where do I get the detailed procedure to find GCD of 90, 460, 681, 343?

You can find a detailed procedure to find GCD of 90, 460, 681, 343 on our page.

3. How to find GCD of 90, 460, 681, 343 on a calculator?

You can find the GCD of 90, 460, 681, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.