GCD of 735, 368, 89, 298 Calculator

Given Input numbers are 735, 368, 89, 298

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

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 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

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 735, 368, 89, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 368, 89, 298 is 1.

Therefore, GCD of numbers 735, 368, 89, 298 is 1

Given Input Data is 735, 368, 89, 298

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

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

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 89 is 89

Prime Factorization of 298 is 2 x 149

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(735, 368) = 270480

GCD(735, 368) = ( 735 x 368 ) / 270480

GCD(735, 368) = 270480 / 270480

GCD(735, 368) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 89

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

LCM(1, 89) = 89

GCD(1, 89) = ( 1 x 89 ) / 89

GCD(1, 89) = 89 / 89

GCD(1, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 298

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

LCM(1, 298) = 298

GCD(1, 298) = ( 1 x 298 ) / 298

GCD(1, 298) = 298 / 298

GCD(1, 298) = 1

GCD of 735, 368, 89, 298 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 881, 120, 84, 301
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• GCD of 496, 373, 23, 928
• GCD of 732, 146, 61, 356
• GCD of 541, 339, 65, 443

1. What is the GCD of 735, 368, 89, 298?

GCD of 735, 368, 89, 298 is 1

2. Where do I get the detailed procedure to find GCD of 735, 368, 89, 298?

You can find a detailed procedure to find GCD of 735, 368, 89, 298 on our page.

3. How to find GCD of 735, 368, 89, 298 on a calculator?

You can find the GCD of 735, 368, 89, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.