GCD of 275, 498, 695, 358 Calculator

Given Input numbers are 275, 498, 695, 358

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

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Divisors of 358

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

1, 2, 179, 358

Greatest Common Divisior

We found the divisors of 275, 498, 695, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 275, 498, 695, 358 is 1.

Therefore, GCD of numbers 275, 498, 695, 358 is 1

Given Input Data is 275, 498, 695, 358

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

Prime Factorization of 275 is 5 x 5 x 11

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 695 is 5 x 139

Prime Factorization of 358 is 2 x 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(275, 498) = 136950

GCD(275, 498) = ( 275 x 498 ) / 136950

GCD(275, 498) = 136950 / 136950

GCD(275, 498) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 695

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

LCM(1, 695) = 695

GCD(1, 695) = ( 1 x 695 ) / 695

GCD(1, 695) = 695 / 695

GCD(1, 695) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 358

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

LCM(1, 358) = 358

GCD(1, 358) = ( 1 x 358 ) / 358

GCD(1, 358) = 358 / 358

GCD(1, 358) = 1

GCD of 275, 498, 695, 358 is 1

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1. What is the GCD of 275, 498, 695, 358?

GCD of 275, 498, 695, 358 is 1

2. Where do I get the detailed procedure to find GCD of 275, 498, 695, 358?

You can find a detailed procedure to find GCD of 275, 498, 695, 358 on our page.

3. How to find GCD of 275, 498, 695, 358 on a calculator?

You can find the GCD of 275, 498, 695, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.