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, 260, 448, 709 i.e. 1 largest integer that divides all the numbers equally.
GCD of 534, 260, 448, 709 is 1
GCD(534, 260, 448, 709) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 534, 260, 448, 709 is 1
GCD(534, 260, 448, 709) = 1
Given Input numbers are 534, 260, 448, 709
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 260
List of positive integer divisors of 260 that divides 260 without a remainder.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
Divisors of 448
List of positive integer divisors of 448 that divides 448 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Divisors of 709
List of positive integer divisors of 709 that divides 709 without a remainder.
1, 709
Greatest Common Divisior
We found the divisors of 534, 260, 448, 709 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 534, 260, 448, 709 is 1.
Therefore, GCD of numbers 534, 260, 448, 709 is 1
Given Input Data is 534, 260, 448, 709
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 260 is 2 x 2 x 5 x 13
Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 709 is 709
The above numbers do not have any common prime factor. So GCD is 1
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, 260) = 69420
GCD(534, 260) = ( 534 x 260 ) / 69420
GCD(534, 260) = 138840 / 69420
GCD(534, 260) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 448
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 448) = 448
GCD(2, 448) = ( 2 x 448 ) / 448
GCD(2, 448) = 896 / 448
GCD(2, 448) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 709
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 709) = 1418
GCD(2, 709) = ( 2 x 709 ) / 1418
GCD(2, 709) = 1418 / 1418
GCD(2, 709) = 1
GCD of 534, 260, 448, 709 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 534, 260, 448, 709?
GCD of 534, 260, 448, 709 is 1
2. Where do I get the detailed procedure to find GCD of 534, 260, 448, 709?
You can find a detailed procedure to find GCD of 534, 260, 448, 709 on our page.
3. How to find GCD of 534, 260, 448, 709 on a calculator?
You can find the GCD of 534, 260, 448, 709 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.