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, 933, 38, 802 i.e. 1 largest integer that divides all the numbers equally.
GCD of 971, 933, 38, 802 is 1
GCD(971, 933, 38, 802) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 971, 933, 38, 802 is 1
GCD(971, 933, 38, 802) = 1
Given Input numbers are 971, 933, 38, 802
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 933
List of positive integer divisors of 933 that divides 933 without a remainder.
1, 3, 311, 933
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 802
List of positive integer divisors of 802 that divides 802 without a remainder.
1, 2, 401, 802
Greatest Common Divisior
We found the divisors of 971, 933, 38, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 971, 933, 38, 802 is 1.
Therefore, GCD of numbers 971, 933, 38, 802 is 1
Given Input Data is 971, 933, 38, 802
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 971 is 971
Prime Factorization of 933 is 3 x 311
Prime Factorization of 38 is 2 x 19
Prime Factorization of 802 is 2 x 401
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, 933) = 905943
GCD(971, 933) = ( 971 x 933 ) / 905943
GCD(971, 933) = 905943 / 905943
GCD(971, 933) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 38
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 38) = 38
GCD(1, 38) = ( 1 x 38 ) / 38
GCD(1, 38) = 38 / 38
GCD(1, 38) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 802
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 802) = 802
GCD(1, 802) = ( 1 x 802 ) / 802
GCD(1, 802) = 802 / 802
GCD(1, 802) = 1
GCD of 971, 933, 38, 802 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 971, 933, 38, 802?
GCD of 971, 933, 38, 802 is 1
2. Where do I get the detailed procedure to find GCD of 971, 933, 38, 802?
You can find a detailed procedure to find GCD of 971, 933, 38, 802 on our page.
3. How to find GCD of 971, 933, 38, 802 on a calculator?
You can find the GCD of 971, 933, 38, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.