GCD of 50, 534, 262, 738 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 50, 534, 262, 738 i.e. 2 largest integer that divides all the numbers equally.

GCD of 50, 534, 262, 738 is 2

GCD(50, 534, 262, 738) = 2

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

GCD of

GCD of numbers 50, 534, 262, 738 is 2

GCD(50, 534, 262, 738) = 2

GCD of 50,534,262,738 Calculator

GCDof 50,534,262,738 is 2

Given Input numbers are 50, 534, 262, 738

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

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 534

List of positive integer divisors of 534 that divides 534 without a remainder.

1, 2, 3, 6, 89, 178, 267, 534

Divisors of 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 50, 534, 262, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 534, 262, 738 is 2.

Therefore, GCD of numbers 50, 534, 262, 738 is 2

Finding GCD of 50, 534, 262, 738 using Prime Factorization

Given Input Data is 50, 534, 262, 738

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

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 534 is 2 x 3 x 89

Prime Factorization of 262 is 2 x 131

Prime Factorization of 738 is 2 x 3 x 3 x 41

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 50, 534, 262, 738 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(50, 534) = 13350

GCD(50, 534) = ( 50 x 534 ) / 13350

GCD(50, 534) = 26700 / 13350

GCD(50, 534) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 262

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

LCM(2, 262) = 262

GCD(2, 262) = ( 2 x 262 ) / 262

GCD(2, 262) = 524 / 262

GCD(2, 262) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 738

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

LCM(2, 738) = 738

GCD(2, 738) = ( 2 x 738 ) / 738

GCD(2, 738) = 1476 / 738

GCD(2, 738) = 2

GCD of 50, 534, 262, 738 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 50, 534, 262, 738

1. What is the GCD of 50, 534, 262, 738?

GCD of 50, 534, 262, 738 is 2


2. Where do I get the detailed procedure to find GCD of 50, 534, 262, 738?

You can find a detailed procedure to find GCD of 50, 534, 262, 738 on our page.


3. How to find GCD of 50, 534, 262, 738 on a calculator?

You can find the GCD of 50, 534, 262, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.