GCD of 880, 667, 45, 988 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 880, 667, 45, 988 i.e. 1 largest integer that divides all the numbers equally.

GCD of 880, 667, 45, 988 is 1

GCD(880, 667, 45, 988) = 1

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

GCD of

GCD of numbers 880, 667, 45, 988 is 1

GCD(880, 667, 45, 988) = 1

GCD of 880,667,45,988 Calculator

GCDof 880,667,45,988 is 1

Given Input numbers are 880, 667, 45, 988

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

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

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

Greatest Common Divisior

We found the divisors of 880, 667, 45, 988 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 880, 667, 45, 988 is 1.

Therefore, GCD of numbers 880, 667, 45, 988 is 1

Finding GCD of 880, 667, 45, 988 using Prime Factorization

Given Input Data is 880, 667, 45, 988

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

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 667 is 23 x 29

Prime Factorization of 45 is 3 x 3 x 5

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

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

Finding GCD of 880, 667, 45, 988 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(880, 667) = 586960

GCD(880, 667) = ( 880 x 667 ) / 586960

GCD(880, 667) = 586960 / 586960

GCD(880, 667) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 988

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

LCM(1, 988) = 988

GCD(1, 988) = ( 1 x 988 ) / 988

GCD(1, 988) = 988 / 988

GCD(1, 988) = 1

GCD of 880, 667, 45, 988 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 880, 667, 45, 988

1. What is the GCD of 880, 667, 45, 988?

GCD of 880, 667, 45, 988 is 1


2. Where do I get the detailed procedure to find GCD of 880, 667, 45, 988?

You can find a detailed procedure to find GCD of 880, 667, 45, 988 on our page.


3. How to find GCD of 880, 667, 45, 988 on a calculator?

You can find the GCD of 880, 667, 45, 988 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.