GCD of 80, 308, 952, 969 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 80, 308, 952, 969 i.e. 1 largest integer that divides all the numbers equally.

GCD of 80, 308, 952, 969 is 1

GCD(80, 308, 952, 969) = 1

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

GCD of

GCD of numbers 80, 308, 952, 969 is 1

GCD(80, 308, 952, 969) = 1

GCD of 80,308,952,969 Calculator

GCDof 80,308,952,969 is 1

Given Input numbers are 80, 308, 952, 969

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

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Greatest Common Divisior

We found the divisors of 80, 308, 952, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 308, 952, 969 is 1.

Therefore, GCD of numbers 80, 308, 952, 969 is 1

Finding GCD of 80, 308, 952, 969 using Prime Factorization

Given Input Data is 80, 308, 952, 969

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

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 969 is 3 x 17 x 19

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

Finding GCD of 80, 308, 952, 969 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(80, 308) = 6160

GCD(80, 308) = ( 80 x 308 ) / 6160

GCD(80, 308) = 24640 / 6160

GCD(80, 308) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 952

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

LCM(4, 952) = 952

GCD(4, 952) = ( 4 x 952 ) / 952

GCD(4, 952) = 3808 / 952

GCD(4, 952) = 4


Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 969

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

LCM(4, 969) = 3876

GCD(4, 969) = ( 4 x 969 ) / 3876

GCD(4, 969) = 3876 / 3876

GCD(4, 969) = 1

GCD of 80, 308, 952, 969 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 80, 308, 952, 969

1. What is the GCD of 80, 308, 952, 969?

GCD of 80, 308, 952, 969 is 1


2. Where do I get the detailed procedure to find GCD of 80, 308, 952, 969?

You can find a detailed procedure to find GCD of 80, 308, 952, 969 on our page.


3. How to find GCD of 80, 308, 952, 969 on a calculator?

You can find the GCD of 80, 308, 952, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.