GCD of 552, 698, 10, 435 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 552, 698, 10, 435 i.e. 1 largest integer that divides all the numbers equally.

GCD of 552, 698, 10, 435 is 1

GCD(552, 698, 10, 435) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 552, 698, 10, 435 is 1

GCD(552, 698, 10, 435) = 1

GCD of 552,698,10,435 Calculator

GCDof 552,698,10,435 is 1

Given Input numbers are 552, 698, 10, 435

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

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 698

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

1, 2, 349, 698

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Greatest Common Divisior

We found the divisors of 552, 698, 10, 435 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 552, 698, 10, 435 is 1.

Therefore, GCD of numbers 552, 698, 10, 435 is 1

Finding GCD of 552, 698, 10, 435 using Prime Factorization

Given Input Data is 552, 698, 10, 435

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

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 698 is 2 x 349

Prime Factorization of 10 is 2 x 5

Prime Factorization of 435 is 3 x 5 x 29

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 552, 698, 10, 435 using LCM Formula

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(552, 698) = 192648

GCD(552, 698) = ( 552 x 698 ) / 192648

GCD(552, 698) = 385296 / 192648

GCD(552, 698) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 10

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

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

GCD(2, 10) = 20 / 10

GCD(2, 10) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 435

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

LCM(2, 435) = 870

GCD(2, 435) = ( 2 x 435 ) / 870

GCD(2, 435) = 870 / 870

GCD(2, 435) = 1

GCD of 552, 698, 10, 435 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 552, 698, 10, 435

1. What is the GCD of 552, 698, 10, 435?

GCD of 552, 698, 10, 435 is 1


2. Where do I get the detailed procedure to find GCD of 552, 698, 10, 435?

You can find a detailed procedure to find GCD of 552, 698, 10, 435 on our page.


3. How to find GCD of 552, 698, 10, 435 on a calculator?

You can find the GCD of 552, 698, 10, 435 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.