GCD of 740, 852, 26, 350 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 740, 852, 26, 350 i.e. 2 largest integer that divides all the numbers equally.

GCD of 740, 852, 26, 350 is 2

GCD(740, 852, 26, 350) = 2

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

GCD of

GCD of numbers 740, 852, 26, 350 is 2

GCD(740, 852, 26, 350) = 2

GCD of 740,852,26,350 Calculator

GCDof 740,852,26,350 is 2

Given Input numbers are 740, 852, 26, 350

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

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Greatest Common Divisior

We found the divisors of 740, 852, 26, 350 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 852, 26, 350 is 2.

Therefore, GCD of numbers 740, 852, 26, 350 is 2

Finding GCD of 740, 852, 26, 350 using Prime Factorization

Given Input Data is 740, 852, 26, 350

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

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 26 is 2 x 13

Prime Factorization of 350 is 2 x 5 x 5 x 7

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 740, 852, 26, 350 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(740, 852) = 157620

GCD(740, 852) = ( 740 x 852 ) / 157620

GCD(740, 852) = 630480 / 157620

GCD(740, 852) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 26

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

LCM(4, 26) = 52

GCD(4, 26) = ( 4 x 26 ) / 52

GCD(4, 26) = 104 / 52

GCD(4, 26) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 350

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

LCM(2, 350) = 350

GCD(2, 350) = ( 2 x 350 ) / 350

GCD(2, 350) = 700 / 350

GCD(2, 350) = 2

GCD of 740, 852, 26, 350 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 740, 852, 26, 350

1. What is the GCD of 740, 852, 26, 350?

GCD of 740, 852, 26, 350 is 2


2. Where do I get the detailed procedure to find GCD of 740, 852, 26, 350?

You can find a detailed procedure to find GCD of 740, 852, 26, 350 on our page.


3. How to find GCD of 740, 852, 26, 350 on a calculator?

You can find the GCD of 740, 852, 26, 350 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.