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, 710, 521, 708 i.e. 1 largest integer that divides all the numbers equally.
GCD of 978, 710, 521, 708 is 1
GCD(978, 710, 521, 708) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 978, 710, 521, 708 is 1
GCD(978, 710, 521, 708) = 1
Given Input numbers are 978, 710, 521, 708
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 710
List of positive integer divisors of 710 that divides 710 without a remainder.
1, 2, 5, 10, 71, 142, 355, 710
Divisors of 521
List of positive integer divisors of 521 that divides 521 without a remainder.
1, 521
Divisors of 708
List of positive integer divisors of 708 that divides 708 without a remainder.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Greatest Common Divisior
We found the divisors of 978, 710, 521, 708 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 710, 521, 708 is 1.
Therefore, GCD of numbers 978, 710, 521, 708 is 1
Given Input Data is 978, 710, 521, 708
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 710 is 2 x 5 x 71
Prime Factorization of 521 is 521
Prime Factorization of 708 is 2 x 2 x 3 x 59
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, 710) = 347190
GCD(978, 710) = ( 978 x 710 ) / 347190
GCD(978, 710) = 694380 / 347190
GCD(978, 710) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 521
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 521) = 1042
GCD(2, 521) = ( 2 x 521 ) / 1042
GCD(2, 521) = 1042 / 1042
GCD(2, 521) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 708
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 708) = 708
GCD(1, 708) = ( 1 x 708 ) / 708
GCD(1, 708) = 708 / 708
GCD(1, 708) = 1
GCD of 978, 710, 521, 708 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 978, 710, 521, 708?
GCD of 978, 710, 521, 708 is 1
2. Where do I get the detailed procedure to find GCD of 978, 710, 521, 708?
You can find a detailed procedure to find GCD of 978, 710, 521, 708 on our page.
3. How to find GCD of 978, 710, 521, 708 on a calculator?
You can find the GCD of 978, 710, 521, 708 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.