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 265, 966, 978, 851 i.e. 1 largest integer that divides all the numbers equally.
GCD of 265, 966, 978, 851 is 1
GCD(265, 966, 978, 851) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 265, 966, 978, 851 is 1
GCD(265, 966, 978, 851) = 1
Given Input numbers are 265, 966, 978, 851
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 265
List of positive integer divisors of 265 that divides 265 without a remainder.
1, 5, 53, 265
Divisors of 966
List of positive integer divisors of 966 that divides 966 without a remainder.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
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 851
List of positive integer divisors of 851 that divides 851 without a remainder.
1, 23, 37, 851
Greatest Common Divisior
We found the divisors of 265, 966, 978, 851 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 265, 966, 978, 851 is 1.
Therefore, GCD of numbers 265, 966, 978, 851 is 1
Given Input Data is 265, 966, 978, 851
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 265 is 5 x 53
Prime Factorization of 966 is 2 x 3 x 7 x 23
Prime Factorization of 978 is 2 x 3 x 163
Prime Factorization of 851 is 23 x 37
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(265, 966) = 255990
GCD(265, 966) = ( 265 x 966 ) / 255990
GCD(265, 966) = 255990 / 255990
GCD(265, 966) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 978
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 978) = 978
GCD(1, 978) = ( 1 x 978 ) / 978
GCD(1, 978) = 978 / 978
GCD(1, 978) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 851
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 851) = 851
GCD(1, 851) = ( 1 x 851 ) / 851
GCD(1, 851) = 851 / 851
GCD(1, 851) = 1
GCD of 265, 966, 978, 851 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 265, 966, 978, 851?
GCD of 265, 966, 978, 851 is 1
2. Where do I get the detailed procedure to find GCD of 265, 966, 978, 851?
You can find a detailed procedure to find GCD of 265, 966, 978, 851 on our page.
3. How to find GCD of 265, 966, 978, 851 on a calculator?
You can find the GCD of 265, 966, 978, 851 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.