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, 745, 360, 962 i.e. 1 largest integer that divides all the numbers equally.
GCD of 971, 745, 360, 962 is 1
GCD(971, 745, 360, 962) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 971, 745, 360, 962 is 1
GCD(971, 745, 360, 962) = 1
Given Input numbers are 971, 745, 360, 962
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 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Divisors of 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 962
List of positive integer divisors of 962 that divides 962 without a remainder.
1, 2, 13, 26, 37, 74, 481, 962
Greatest Common Divisior
We found the divisors of 971, 745, 360, 962 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 971, 745, 360, 962 is 1.
Therefore, GCD of numbers 971, 745, 360, 962 is 1
Given Input Data is 971, 745, 360, 962
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 971 is 971
Prime Factorization of 745 is 5 x 149
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 962 is 2 x 13 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(971, 745) = 723395
GCD(971, 745) = ( 971 x 745 ) / 723395
GCD(971, 745) = 723395 / 723395
GCD(971, 745) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 360
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 360) = 360
GCD(1, 360) = ( 1 x 360 ) / 360
GCD(1, 360) = 360 / 360
GCD(1, 360) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 962
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 962) = 962
GCD(1, 962) = ( 1 x 962 ) / 962
GCD(1, 962) = 962 / 962
GCD(1, 962) = 1
GCD of 971, 745, 360, 962 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 971, 745, 360, 962?
GCD of 971, 745, 360, 962 is 1
2. Where do I get the detailed procedure to find GCD of 971, 745, 360, 962?
You can find a detailed procedure to find GCD of 971, 745, 360, 962 on our page.
3. How to find GCD of 971, 745, 360, 962 on a calculator?
You can find the GCD of 971, 745, 360, 962 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.