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, 764, 462, 601 i.e. 1 largest integer that divides all the numbers equally.
GCD of 978, 764, 462, 601 is 1
GCD(978, 764, 462, 601) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 978, 764, 462, 601 is 1
GCD(978, 764, 462, 601) = 1
Given Input numbers are 978, 764, 462, 601
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 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Divisors of 462
List of positive integer divisors of 462 that divides 462 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 601
List of positive integer divisors of 601 that divides 601 without a remainder.
1, 601
Greatest Common Divisior
We found the divisors of 978, 764, 462, 601 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 764, 462, 601 is 1.
Therefore, GCD of numbers 978, 764, 462, 601 is 1
Given Input Data is 978, 764, 462, 601
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 764 is 2 x 2 x 191
Prime Factorization of 462 is 2 x 3 x 7 x 11
Prime Factorization of 601 is 601
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, 764) = 373596
GCD(978, 764) = ( 978 x 764 ) / 373596
GCD(978, 764) = 747192 / 373596
GCD(978, 764) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 462
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 462) = 462
GCD(2, 462) = ( 2 x 462 ) / 462
GCD(2, 462) = 924 / 462
GCD(2, 462) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 601
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 601) = 1202
GCD(2, 601) = ( 2 x 601 ) / 1202
GCD(2, 601) = 1202 / 1202
GCD(2, 601) = 1
GCD of 978, 764, 462, 601 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 978, 764, 462, 601?
GCD of 978, 764, 462, 601 is 1
2. Where do I get the detailed procedure to find GCD of 978, 764, 462, 601?
You can find a detailed procedure to find GCD of 978, 764, 462, 601 on our page.
3. How to find GCD of 978, 764, 462, 601 on a calculator?
You can find the GCD of 978, 764, 462, 601 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.