GCD of 534, 965, 45, 742 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 534, 965, 45, 742 i.e. 1 largest integer that divides all the numbers equally.

GCD of 534, 965, 45, 742 is 1

GCD(534, 965, 45, 742) = 1

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

GCD of

GCD of numbers 534, 965, 45, 742 is 1

GCD(534, 965, 45, 742) = 1

GCD of 534,965,45,742 Calculator

GCDof 534,965,45,742 is 1

Given Input numbers are 534, 965, 45, 742

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

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 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Greatest Common Divisior

We found the divisors of 534, 965, 45, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 534, 965, 45, 742 is 1.

Therefore, GCD of numbers 534, 965, 45, 742 is 1

Finding GCD of 534, 965, 45, 742 using Prime Factorization

Given Input Data is 534, 965, 45, 742

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

Prime Factorization of 534 is 2 x 3 x 89

Prime Factorization of 965 is 5 x 193

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 742 is 2 x 7 x 53

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

Finding GCD of 534, 965, 45, 742 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(534, 965) = 515310

GCD(534, 965) = ( 534 x 965 ) / 515310

GCD(534, 965) = 515310 / 515310

GCD(534, 965) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

GCD of 534, 965, 45, 742 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 534, 965, 45, 742

1. What is the GCD of 534, 965, 45, 742?

GCD of 534, 965, 45, 742 is 1


2. Where do I get the detailed procedure to find GCD of 534, 965, 45, 742?

You can find a detailed procedure to find GCD of 534, 965, 45, 742 on our page.


3. How to find GCD of 534, 965, 45, 742 on a calculator?

You can find the GCD of 534, 965, 45, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.