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 978, 526, 390, 711 i.e. 1 largest integer that divides all the numbers equally.
GCD of 978, 526, 390, 711 is 1
GCD(978, 526, 390, 711) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 978, 526, 390, 711 is 1
GCD(978, 526, 390, 711) = 1
Given Input numbers are 978, 526, 390, 711
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 978
List of positive integer divisors of 978 that divides 978 without a remainder.
1, 2, 3, 6, 163, 326, 489, 978
Divisors of 526
List of positive integer divisors of 526 that divides 526 without a remainder.
1, 2, 263, 526
Divisors of 390
List of positive integer divisors of 390 that divides 390 without a remainder.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 711
List of positive integer divisors of 711 that divides 711 without a remainder.
1, 3, 9, 79, 237, 711
Greatest Common Divisior
We found the divisors of 978, 526, 390, 711 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 526, 390, 711 is 1.
Therefore, GCD of numbers 978, 526, 390, 711 is 1
Given Input Data is 978, 526, 390, 711
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 978 is 2 x 3 x 163
Prime Factorization of 526 is 2 x 263
Prime Factorization of 390 is 2 x 3 x 5 x 13
Prime Factorization of 711 is 3 x 3 x 79
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(978, 526) = 257214
GCD(978, 526) = ( 978 x 526 ) / 257214
GCD(978, 526) = 514428 / 257214
GCD(978, 526) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 390
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 390) = 390
GCD(2, 390) = ( 2 x 390 ) / 390
GCD(2, 390) = 780 / 390
GCD(2, 390) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 711
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 711) = 1422
GCD(2, 711) = ( 2 x 711 ) / 1422
GCD(2, 711) = 1422 / 1422
GCD(2, 711) = 1
GCD of 978, 526, 390, 711 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 978, 526, 390, 711?
GCD of 978, 526, 390, 711 is 1
2. Where do I get the detailed procedure to find GCD of 978, 526, 390, 711?
You can find a detailed procedure to find GCD of 978, 526, 390, 711 on our page.
3. How to find GCD of 978, 526, 390, 711 on a calculator?
You can find the GCD of 978, 526, 390, 711 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.