GCD of 770, 918, 340, 280 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 770, 918, 340, 280 i.e. 2 largest integer that divides all the numbers equally.

GCD of 770, 918, 340, 280 is 2

GCD(770, 918, 340, 280) = 2

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

GCD of

GCD of numbers 770, 918, 340, 280 is 2

GCD(770, 918, 340, 280) = 2

GCD of 770,918,340,280 Calculator

GCDof 770,918,340,280 is 2

Given Input numbers are 770, 918, 340, 280

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

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

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

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Greatest Common Divisior

We found the divisors of 770, 918, 340, 280 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 918, 340, 280 is 2.

Therefore, GCD of numbers 770, 918, 340, 280 is 2

Finding GCD of 770, 918, 340, 280 using Prime Factorization

Given Input Data is 770, 918, 340, 280

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

Prime Factorization of 770 is 2 x 5 x 7 x 11

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

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

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 770, 918, 340, 280 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(770, 918) = 353430

GCD(770, 918) = ( 770 x 918 ) / 353430

GCD(770, 918) = 706860 / 353430

GCD(770, 918) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 340

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

LCM(2, 340) = 340

GCD(2, 340) = ( 2 x 340 ) / 340

GCD(2, 340) = 680 / 340

GCD(2, 340) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 280

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

LCM(2, 280) = 280

GCD(2, 280) = ( 2 x 280 ) / 280

GCD(2, 280) = 560 / 280

GCD(2, 280) = 2

GCD of 770, 918, 340, 280 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 770, 918, 340, 280

1. What is the GCD of 770, 918, 340, 280?

GCD of 770, 918, 340, 280 is 2


2. Where do I get the detailed procedure to find GCD of 770, 918, 340, 280?

You can find a detailed procedure to find GCD of 770, 918, 340, 280 on our page.


3. How to find GCD of 770, 918, 340, 280 on a calculator?

You can find the GCD of 770, 918, 340, 280 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.