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 760, 970, 582, 971 i.e. 1 largest integer that divides all the numbers equally.
GCD of 760, 970, 582, 971 is 1
GCD(760, 970, 582, 971) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 760, 970, 582, 971 is 1
GCD(760, 970, 582, 971) = 1
Given Input numbers are 760, 970, 582, 971
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 760
List of positive integer divisors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 970
List of positive integer divisors of 970 that divides 970 without a remainder.
1, 2, 5, 10, 97, 194, 485, 970
Divisors of 582
List of positive integer divisors of 582 that divides 582 without a remainder.
1, 2, 3, 6, 97, 194, 291, 582
Divisors of 971
List of positive integer divisors of 971 that divides 971 without a remainder.
1, 971
Greatest Common Divisior
We found the divisors of 760, 970, 582, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 970, 582, 971 is 1.
Therefore, GCD of numbers 760, 970, 582, 971 is 1
Given Input Data is 760, 970, 582, 971
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19
Prime Factorization of 970 is 2 x 5 x 97
Prime Factorization of 582 is 2 x 3 x 97
Prime Factorization of 971 is 971
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(760, 970) = 73720
GCD(760, 970) = ( 760 x 970 ) / 73720
GCD(760, 970) = 737200 / 73720
GCD(760, 970) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 582
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 582) = 2910
GCD(10, 582) = ( 10 x 582 ) / 2910
GCD(10, 582) = 5820 / 2910
GCD(10, 582) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 971
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 971) = 1942
GCD(2, 971) = ( 2 x 971 ) / 1942
GCD(2, 971) = 1942 / 1942
GCD(2, 971) = 1
GCD of 760, 970, 582, 971 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 760, 970, 582, 971?
GCD of 760, 970, 582, 971 is 1
2. Where do I get the detailed procedure to find GCD of 760, 970, 582, 971?
You can find a detailed procedure to find GCD of 760, 970, 582, 971 on our page.
3. How to find GCD of 760, 970, 582, 971 on a calculator?
You can find the GCD of 760, 970, 582, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.