GCD of 698, 553, 273, 153 Calculator

Given Input numbers are 698, 553, 273, 153

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

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Greatest Common Divisior

We found the divisors of 698, 553, 273, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 698, 553, 273, 153 is 1.

Therefore, GCD of numbers 698, 553, 273, 153 is 1

Given Input Data is 698, 553, 273, 153

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

Prime Factorization of 698 is 2 x 349

Prime Factorization of 553 is 7 x 79

Prime Factorization of 273 is 3 x 7 x 13

Prime Factorization of 153 is 3 x 3 x 17

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(698, 553) = 385994

GCD(698, 553) = ( 698 x 553 ) / 385994

GCD(698, 553) = 385994 / 385994

GCD(698, 553) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 273

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

LCM(1, 273) = 273

GCD(1, 273) = ( 1 x 273 ) / 273

GCD(1, 273) = 273 / 273

GCD(1, 273) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 153

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

LCM(1, 153) = 153

GCD(1, 153) = ( 1 x 153 ) / 153

GCD(1, 153) = 153 / 153

GCD(1, 153) = 1

GCD of 698, 553, 273, 153 is 1

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1. What is the GCD of 698, 553, 273, 153?

GCD of 698, 553, 273, 153 is 1

2. Where do I get the detailed procedure to find GCD of 698, 553, 273, 153?

You can find a detailed procedure to find GCD of 698, 553, 273, 153 on our page.

3. How to find GCD of 698, 553, 273, 153 on a calculator?

You can find the GCD of 698, 553, 273, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.