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 47, 977, 768, 897 i.e. 1 largest integer that divides all the numbers equally.
GCD of 47, 977, 768, 897 is 1
GCD(47, 977, 768, 897) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 47, 977, 768, 897 is 1
GCD(47, 977, 768, 897) = 1
Given Input numbers are 47, 977, 768, 897
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 977
List of positive integer divisors of 977 that divides 977 without a remainder.
1, 977
Divisors of 768
List of positive integer divisors of 768 that divides 768 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Divisors of 897
List of positive integer divisors of 897 that divides 897 without a remainder.
1, 3, 13, 23, 39, 69, 299, 897
Greatest Common Divisior
We found the divisors of 47, 977, 768, 897 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 47, 977, 768, 897 is 1.
Therefore, GCD of numbers 47, 977, 768, 897 is 1
Given Input Data is 47, 977, 768, 897
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 47 is 47
Prime Factorization of 977 is 977
Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 897 is 3 x 13 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(47, 977) = 45919
GCD(47, 977) = ( 47 x 977 ) / 45919
GCD(47, 977) = 45919 / 45919
GCD(47, 977) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 768
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 768) = 768
GCD(1, 768) = ( 1 x 768 ) / 768
GCD(1, 768) = 768 / 768
GCD(1, 768) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 897
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 897) = 897
GCD(1, 897) = ( 1 x 897 ) / 897
GCD(1, 897) = 897 / 897
GCD(1, 897) = 1
GCD of 47, 977, 768, 897 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 47, 977, 768, 897?
GCD of 47, 977, 768, 897 is 1
2. Where do I get the detailed procedure to find GCD of 47, 977, 768, 897?
You can find a detailed procedure to find GCD of 47, 977, 768, 897 on our page.
3. How to find GCD of 47, 977, 768, 897 on a calculator?
You can find the GCD of 47, 977, 768, 897 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.