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, 392, 20, 760 i.e. 2 largest integer that divides all the numbers equally.
GCD of 534, 392, 20, 760 is 2
GCD(534, 392, 20, 760) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 534, 392, 20, 760 is 2
GCD(534, 392, 20, 760) = 2
Given Input numbers are 534, 392, 20, 760
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 392
List of positive integer divisors of 392 that divides 392 without a remainder.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 760
List of positive integer divisors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Greatest Common Divisior
We found the divisors of 534, 392, 20, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 534, 392, 20, 760 is 2.
Therefore, GCD of numbers 534, 392, 20, 760 is 2
Given Input Data is 534, 392, 20, 760
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 392 is 2 x 2 x 2 x 7 x 7
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19
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(534, 392) = 104664
GCD(534, 392) = ( 534 x 392 ) / 104664
GCD(534, 392) = 209328 / 104664
GCD(534, 392) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 20) = 20
GCD(2, 20) = ( 2 x 20 ) / 20
GCD(2, 20) = 40 / 20
GCD(2, 20) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 760
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 760) = 760
GCD(2, 760) = ( 2 x 760 ) / 760
GCD(2, 760) = 1520 / 760
GCD(2, 760) = 2
GCD of 534, 392, 20, 760 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 534, 392, 20, 760?
GCD of 534, 392, 20, 760 is 2
2. Where do I get the detailed procedure to find GCD of 534, 392, 20, 760?
You can find a detailed procedure to find GCD of 534, 392, 20, 760 on our page.
3. How to find GCD of 534, 392, 20, 760 on a calculator?
You can find the GCD of 534, 392, 20, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.