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 971, 419, 818, 748 i.e. 1 largest integer that divides all the numbers equally.
GCD of 971, 419, 818, 748 is 1
GCD(971, 419, 818, 748) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 971, 419, 818, 748 is 1
GCD(971, 419, 818, 748) = 1
Given Input numbers are 971, 419, 818, 748
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 971
List of positive integer divisors of 971 that divides 971 without a remainder.
1, 971
Divisors of 419
List of positive integer divisors of 419 that divides 419 without a remainder.
1, 419
Divisors of 818
List of positive integer divisors of 818 that divides 818 without a remainder.
1, 2, 409, 818
Divisors of 748
List of positive integer divisors of 748 that divides 748 without a remainder.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Greatest Common Divisior
We found the divisors of 971, 419, 818, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 971, 419, 818, 748 is 1.
Therefore, GCD of numbers 971, 419, 818, 748 is 1
Given Input Data is 971, 419, 818, 748
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 971 is 971
Prime Factorization of 419 is 419
Prime Factorization of 818 is 2 x 409
Prime Factorization of 748 is 2 x 2 x 11 x 17
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(971, 419) = 406849
GCD(971, 419) = ( 971 x 419 ) / 406849
GCD(971, 419) = 406849 / 406849
GCD(971, 419) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 818
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 818) = 818
GCD(1, 818) = ( 1 x 818 ) / 818
GCD(1, 818) = 818 / 818
GCD(1, 818) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 748
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 748) = 748
GCD(1, 748) = ( 1 x 748 ) / 748
GCD(1, 748) = 748 / 748
GCD(1, 748) = 1
GCD of 971, 419, 818, 748 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 971, 419, 818, 748?
GCD of 971, 419, 818, 748 is 1
2. Where do I get the detailed procedure to find GCD of 971, 419, 818, 748?
You can find a detailed procedure to find GCD of 971, 419, 818, 748 on our page.
3. How to find GCD of 971, 419, 818, 748 on a calculator?
You can find the GCD of 971, 419, 818, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.