GCD of 498, 735, 278, 291 Calculator

Given Input numbers are 498, 735, 278, 291

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

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 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Greatest Common Divisior

We found the divisors of 498, 735, 278, 291 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 735, 278, 291 is 1.

Therefore, GCD of numbers 498, 735, 278, 291 is 1

Given Input Data is 498, 735, 278, 291

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

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 278 is 2 x 139

Prime Factorization of 291 is 3 x 97

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(498, 735) = 122010

GCD(498, 735) = ( 498 x 735 ) / 122010

GCD(498, 735) = 366030 / 122010

GCD(498, 735) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 278

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

LCM(3, 278) = 834

GCD(3, 278) = ( 3 x 278 ) / 834

GCD(3, 278) = 834 / 834

GCD(3, 278) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 291

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

LCM(1, 291) = 291

GCD(1, 291) = ( 1 x 291 ) / 291

GCD(1, 291) = 291 / 291

GCD(1, 291) = 1

GCD of 498, 735, 278, 291 is 1

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1. What is the GCD of 498, 735, 278, 291?

GCD of 498, 735, 278, 291 is 1

2. Where do I get the detailed procedure to find GCD of 498, 735, 278, 291?

You can find a detailed procedure to find GCD of 498, 735, 278, 291 on our page.

3. How to find GCD of 498, 735, 278, 291 on a calculator?

You can find the GCD of 498, 735, 278, 291 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.