GCD of 362, 220, 298, 705 Calculator

Given Input numbers are 362, 220, 298, 705

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

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Greatest Common Divisior

We found the divisors of 362, 220, 298, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 220, 298, 705 is 1.

Therefore, GCD of numbers 362, 220, 298, 705 is 1

Given Input Data is 362, 220, 298, 705

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

Prime Factorization of 362 is 2 x 181

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 298 is 2 x 149

Prime Factorization of 705 is 3 x 5 x 47

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(362, 220) = 39820

GCD(362, 220) = ( 362 x 220 ) / 39820

GCD(362, 220) = 79640 / 39820

GCD(362, 220) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 298

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

LCM(2, 298) = 298

GCD(2, 298) = ( 2 x 298 ) / 298

GCD(2, 298) = 596 / 298

GCD(2, 298) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 705

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

LCM(2, 705) = 1410

GCD(2, 705) = ( 2 x 705 ) / 1410

GCD(2, 705) = 1410 / 1410

GCD(2, 705) = 1

GCD of 362, 220, 298, 705 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 936, 980, 291, 145
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• GCD of 577, 216, 663, 154

1. What is the GCD of 362, 220, 298, 705?

GCD of 362, 220, 298, 705 is 1

2. Where do I get the detailed procedure to find GCD of 362, 220, 298, 705?

You can find a detailed procedure to find GCD of 362, 220, 298, 705 on our page.

3. How to find GCD of 362, 220, 298, 705 on a calculator?

You can find the GCD of 362, 220, 298, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.