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 776, 977, 218, 424 i.e. 1 largest integer that divides all the numbers equally.
GCD of 776, 977, 218, 424 is 1
GCD(776, 977, 218, 424) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 776, 977, 218, 424 is 1
GCD(776, 977, 218, 424) = 1
Given Input numbers are 776, 977, 218, 424
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 776
List of positive integer divisors of 776 that divides 776 without a remainder.
1, 2, 4, 8, 97, 194, 388, 776
Divisors of 977
List of positive integer divisors of 977 that divides 977 without a remainder.
1, 977
Divisors of 218
List of positive integer divisors of 218 that divides 218 without a remainder.
1, 2, 109, 218
Divisors of 424
List of positive integer divisors of 424 that divides 424 without a remainder.
1, 2, 4, 8, 53, 106, 212, 424
Greatest Common Divisior
We found the divisors of 776, 977, 218, 424 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 776, 977, 218, 424 is 1.
Therefore, GCD of numbers 776, 977, 218, 424 is 1
Given Input Data is 776, 977, 218, 424
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 776 is 2 x 2 x 2 x 97
Prime Factorization of 977 is 977
Prime Factorization of 218 is 2 x 109
Prime Factorization of 424 is 2 x 2 x 2 x 53
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(776, 977) = 758152
GCD(776, 977) = ( 776 x 977 ) / 758152
GCD(776, 977) = 758152 / 758152
GCD(776, 977) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 218
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 218) = 218
GCD(1, 218) = ( 1 x 218 ) / 218
GCD(1, 218) = 218 / 218
GCD(1, 218) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 424
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 424) = 424
GCD(1, 424) = ( 1 x 424 ) / 424
GCD(1, 424) = 424 / 424
GCD(1, 424) = 1
GCD of 776, 977, 218, 424 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 776, 977, 218, 424?
GCD of 776, 977, 218, 424 is 1
2. Where do I get the detailed procedure to find GCD of 776, 977, 218, 424?
You can find a detailed procedure to find GCD of 776, 977, 218, 424 on our page.
3. How to find GCD of 776, 977, 218, 424 on a calculator?
You can find the GCD of 776, 977, 218, 424 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.