GCD of 362, 760, 358, 298 Calculator

Given Input numbers are 362, 760, 358, 298

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 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 298

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

1, 2, 149, 298

Greatest Common Divisior

We found the divisors of 362, 760, 358, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 760, 358, 298 is 2.

Therefore, GCD of numbers 362, 760, 358, 298 is 2

Given Input Data is 362, 760, 358, 298

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

Prime Factorization of 362 is 2 x 181

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 358 is 2 x 179

Prime Factorization of 298 is 2 x 149

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 760) = 137560

GCD(362, 760) = ( 362 x 760 ) / 137560

GCD(362, 760) = 275120 / 137560

GCD(362, 760) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 358

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

LCM(2, 358) = 358

GCD(2, 358) = ( 2 x 358 ) / 358

GCD(2, 358) = 716 / 358

GCD(2, 358) = 2

Step3:

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

GCD of 362, 760, 358, 298 is 2

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• GCD of 252, 419, 140, 184
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1. What is the GCD of 362, 760, 358, 298?

GCD of 362, 760, 358, 298 is 2

2. Where do I get the detailed procedure to find GCD of 362, 760, 358, 298?

You can find a detailed procedure to find GCD of 362, 760, 358, 298 on our page.

3. How to find GCD of 362, 760, 358, 298 on a calculator?

You can find the GCD of 362, 760, 358, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.