GCD of 772, 576, 134, 534 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 772, 576, 134, 534 i.e. 2 largest integer that divides all the numbers equally.

GCD of 772, 576, 134, 534 is 2

GCD(772, 576, 134, 534) = 2

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

GCD of

GCD of numbers 772, 576, 134, 534 is 2

GCD(772, 576, 134, 534) = 2

GCD of 772,576,134,534 Calculator

GCDof 772,576,134,534 is 2

Given Input numbers are 772, 576, 134, 534

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

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Divisors of 534

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

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

Greatest Common Divisior

We found the divisors of 772, 576, 134, 534 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 772, 576, 134, 534 is 2.

Therefore, GCD of numbers 772, 576, 134, 534 is 2

Finding GCD of 772, 576, 134, 534 using Prime Factorization

Given Input Data is 772, 576, 134, 534

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

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 134 is 2 x 67

Prime Factorization of 534 is 2 x 3 x 89

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 772, 576, 134, 534 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(772, 576) = 111168

GCD(772, 576) = ( 772 x 576 ) / 111168

GCD(772, 576) = 444672 / 111168

GCD(772, 576) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 134

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

LCM(4, 134) = 268

GCD(4, 134) = ( 4 x 134 ) / 268

GCD(4, 134) = 536 / 268

GCD(4, 134) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 534

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

LCM(2, 534) = 534

GCD(2, 534) = ( 2 x 534 ) / 534

GCD(2, 534) = 1068 / 534

GCD(2, 534) = 2

GCD of 772, 576, 134, 534 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 772, 576, 134, 534

1. What is the GCD of 772, 576, 134, 534?

GCD of 772, 576, 134, 534 is 2


2. Where do I get the detailed procedure to find GCD of 772, 576, 134, 534?

You can find a detailed procedure to find GCD of 772, 576, 134, 534 on our page.


3. How to find GCD of 772, 576, 134, 534 on a calculator?

You can find the GCD of 772, 576, 134, 534 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.