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 numbers 772, 576, 134, 534 is 2
GCD(772, 576, 134, 534) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.