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, 645, 28, 805 i.e. 1 largest integer that divides all the numbers equally.
GCD of 971, 645, 28, 805 is 1
GCD(971, 645, 28, 805) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 971, 645, 28, 805 is 1
GCD(971, 645, 28, 805) = 1
Given Input numbers are 971, 645, 28, 805
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 645
List of positive integer divisors of 645 that divides 645 without a remainder.
1, 3, 5, 15, 43, 129, 215, 645
Divisors of 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
Divisors of 805
List of positive integer divisors of 805 that divides 805 without a remainder.
1, 5, 7, 23, 35, 115, 161, 805
Greatest Common Divisior
We found the divisors of 971, 645, 28, 805 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 971, 645, 28, 805 is 1.
Therefore, GCD of numbers 971, 645, 28, 805 is 1
Given Input Data is 971, 645, 28, 805
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 971 is 971
Prime Factorization of 645 is 3 x 5 x 43
Prime Factorization of 28 is 2 x 2 x 7
Prime Factorization of 805 is 5 x 7 x 23
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, 645) = 626295
GCD(971, 645) = ( 971 x 645 ) / 626295
GCD(971, 645) = 626295 / 626295
GCD(971, 645) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 28
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 28) = 28
GCD(1, 28) = ( 1 x 28 ) / 28
GCD(1, 28) = 28 / 28
GCD(1, 28) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 805
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 805) = 805
GCD(1, 805) = ( 1 x 805 ) / 805
GCD(1, 805) = 805 / 805
GCD(1, 805) = 1
GCD of 971, 645, 28, 805 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 971, 645, 28, 805?
GCD of 971, 645, 28, 805 is 1
2. Where do I get the detailed procedure to find GCD of 971, 645, 28, 805?
You can find a detailed procedure to find GCD of 971, 645, 28, 805 on our page.
3. How to find GCD of 971, 645, 28, 805 on a calculator?
You can find the GCD of 971, 645, 28, 805 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.