GCD of 55, 988, 762, 826 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 55, 988, 762, 826 i.e. 1 largest integer that divides all the numbers equally.

GCD of 55, 988, 762, 826 is 1

GCD(55, 988, 762, 826) = 1

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

GCD of

GCD of numbers 55, 988, 762, 826 is 1

GCD(55, 988, 762, 826) = 1

GCD of 55,988,762,826 Calculator

GCDof 55,988,762,826 is 1

Given Input numbers are 55, 988, 762, 826

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

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Greatest Common Divisior

We found the divisors of 55, 988, 762, 826 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 55, 988, 762, 826 is 1.

Therefore, GCD of numbers 55, 988, 762, 826 is 1

Finding GCD of 55, 988, 762, 826 using Prime Factorization

Given Input Data is 55, 988, 762, 826

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

Prime Factorization of 55 is 5 x 11

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 826 is 2 x 7 x 59

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

Finding GCD of 55, 988, 762, 826 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(55, 988) = 54340

GCD(55, 988) = ( 55 x 988 ) / 54340

GCD(55, 988) = 54340 / 54340

GCD(55, 988) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 762

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

LCM(1, 762) = 762

GCD(1, 762) = ( 1 x 762 ) / 762

GCD(1, 762) = 762 / 762

GCD(1, 762) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 826

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

LCM(1, 826) = 826

GCD(1, 826) = ( 1 x 826 ) / 826

GCD(1, 826) = 826 / 826

GCD(1, 826) = 1

GCD of 55, 988, 762, 826 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 55, 988, 762, 826

1. What is the GCD of 55, 988, 762, 826?

GCD of 55, 988, 762, 826 is 1


2. Where do I get the detailed procedure to find GCD of 55, 988, 762, 826?

You can find a detailed procedure to find GCD of 55, 988, 762, 826 on our page.


3. How to find GCD of 55, 988, 762, 826 on a calculator?

You can find the GCD of 55, 988, 762, 826 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.