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 71, 425, 791, 977 i.e. 1 largest integer that divides all the numbers equally.
GCD of 71, 425, 791, 977 is 1
GCD(71, 425, 791, 977) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 71, 425, 791, 977 is 1
GCD(71, 425, 791, 977) = 1
Given Input numbers are 71, 425, 791, 977
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 425
List of positive integer divisors of 425 that divides 425 without a remainder.
1, 5, 17, 25, 85, 425
Divisors of 791
List of positive integer divisors of 791 that divides 791 without a remainder.
1, 7, 113, 791
Divisors of 977
List of positive integer divisors of 977 that divides 977 without a remainder.
1, 977
Greatest Common Divisior
We found the divisors of 71, 425, 791, 977 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 425, 791, 977 is 1.
Therefore, GCD of numbers 71, 425, 791, 977 is 1
Given Input Data is 71, 425, 791, 977
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 71 is 71
Prime Factorization of 425 is 5 x 5 x 17
Prime Factorization of 791 is 7 x 113
Prime Factorization of 977 is 977
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(71, 425) = 30175
GCD(71, 425) = ( 71 x 425 ) / 30175
GCD(71, 425) = 30175 / 30175
GCD(71, 425) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 791
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 791) = 791
GCD(1, 791) = ( 1 x 791 ) / 791
GCD(1, 791) = 791 / 791
GCD(1, 791) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 977
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 977) = 977
GCD(1, 977) = ( 1 x 977 ) / 977
GCD(1, 977) = 977 / 977
GCD(1, 977) = 1
GCD of 71, 425, 791, 977 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 71, 425, 791, 977?
GCD of 71, 425, 791, 977 is 1
2. Where do I get the detailed procedure to find GCD of 71, 425, 791, 977?
You can find a detailed procedure to find GCD of 71, 425, 791, 977 on our page.
3. How to find GCD of 71, 425, 791, 977 on a calculator?
You can find the GCD of 71, 425, 791, 977 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.