GCD of 292, 476, 80, 340 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 292, 476, 80, 340 i.e. 4 largest integer that divides all the numbers equally.

GCD of 292, 476, 80, 340 is 4

GCD(292, 476, 80, 340) = 4

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

GCD of

GCD of numbers 292, 476, 80, 340 is 4

GCD(292, 476, 80, 340) = 4

GCD of 292,476,80,340 Calculator

GCDof 292,476,80,340 is 4

Given Input numbers are 292, 476, 80, 340

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

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

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 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Greatest Common Divisior

We found the divisors of 292, 476, 80, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 292, 476, 80, 340 is 4.

Therefore, GCD of numbers 292, 476, 80, 340 is 4

Finding GCD of 292, 476, 80, 340 using Prime Factorization

Given Input Data is 292, 476, 80, 340

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

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 476 is 2 x 2 x 7 x 17

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

Prime Factorization of 340 is 2 x 2 x 5 x 17

Highest common occurrences in the given inputs are 22

Multiplying them we get the GCD as 4

Finding GCD of 292, 476, 80, 340 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(292, 476) = 34748

GCD(292, 476) = ( 292 x 476 ) / 34748

GCD(292, 476) = 138992 / 34748

GCD(292, 476) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 80

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

LCM(4, 80) = 80

GCD(4, 80) = ( 4 x 80 ) / 80

GCD(4, 80) = 320 / 80

GCD(4, 80) = 4


Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 340

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

LCM(4, 340) = 340

GCD(4, 340) = ( 4 x 340 ) / 340

GCD(4, 340) = 1360 / 340

GCD(4, 340) = 4

GCD of 292, 476, 80, 340 is 4

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 292, 476, 80, 340

1. What is the GCD of 292, 476, 80, 340?

GCD of 292, 476, 80, 340 is 4


2. Where do I get the detailed procedure to find GCD of 292, 476, 80, 340?

You can find a detailed procedure to find GCD of 292, 476, 80, 340 on our page.


3. How to find GCD of 292, 476, 80, 340 on a calculator?

You can find the GCD of 292, 476, 80, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.