GCD of 698, 617, 56, 846 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 698, 617, 56, 846 i.e. 1 largest integer that divides all the numbers equally.

GCD of 698, 617, 56, 846 is 1

GCD(698, 617, 56, 846) = 1

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

GCD of

GCD of numbers 698, 617, 56, 846 is 1

GCD(698, 617, 56, 846) = 1

GCD of 698,617,56,846 Calculator

GCDof 698,617,56,846 is 1

Given Input numbers are 698, 617, 56, 846

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 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Greatest Common Divisior

We found the divisors of 698, 617, 56, 846 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 698, 617, 56, 846 is 1.

Therefore, GCD of numbers 698, 617, 56, 846 is 1

Finding GCD of 698, 617, 56, 846 using Prime Factorization

Given Input Data is 698, 617, 56, 846

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

Prime Factorization of 698 is 2 x 349

Prime Factorization of 617 is 617

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 846 is 2 x 3 x 3 x 47

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

Finding GCD of 698, 617, 56, 846 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(698, 617) = 430666

GCD(698, 617) = ( 698 x 617 ) / 430666

GCD(698, 617) = 430666 / 430666

GCD(698, 617) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 56

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

LCM(1, 56) = 56

GCD(1, 56) = ( 1 x 56 ) / 56

GCD(1, 56) = 56 / 56

GCD(1, 56) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 846

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

LCM(1, 846) = 846

GCD(1, 846) = ( 1 x 846 ) / 846

GCD(1, 846) = 846 / 846

GCD(1, 846) = 1

GCD of 698, 617, 56, 846 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 698, 617, 56, 846

1. What is the GCD of 698, 617, 56, 846?

GCD of 698, 617, 56, 846 is 1


2. Where do I get the detailed procedure to find GCD of 698, 617, 56, 846?

You can find a detailed procedure to find GCD of 698, 617, 56, 846 on our page.


3. How to find GCD of 698, 617, 56, 846 on a calculator?

You can find the GCD of 698, 617, 56, 846 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.