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 77, 443, 896, 118 i.e. 1 largest integer that divides all the numbers equally.
GCD of 77, 443, 896, 118 is 1
GCD(77, 443, 896, 118) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 77, 443, 896, 118 is 1
GCD(77, 443, 896, 118) = 1
Given Input numbers are 77, 443, 896, 118
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 443
List of positive integer divisors of 443 that divides 443 without a remainder.
1, 443
Divisors of 896
List of positive integer divisors of 896 that divides 896 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
Divisors of 118
List of positive integer divisors of 118 that divides 118 without a remainder.
1, 2, 59, 118
Greatest Common Divisior
We found the divisors of 77, 443, 896, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 443, 896, 118 is 1.
Therefore, GCD of numbers 77, 443, 896, 118 is 1
Given Input Data is 77, 443, 896, 118
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 77 is 7 x 11
Prime Factorization of 443 is 443
Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 118 is 2 x 59
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(77, 443) = 34111
GCD(77, 443) = ( 77 x 443 ) / 34111
GCD(77, 443) = 34111 / 34111
GCD(77, 443) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 896
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 896) = 896
GCD(1, 896) = ( 1 x 896 ) / 896
GCD(1, 896) = 896 / 896
GCD(1, 896) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 118
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 118) = 118
GCD(1, 118) = ( 1 x 118 ) / 118
GCD(1, 118) = 118 / 118
GCD(1, 118) = 1
GCD of 77, 443, 896, 118 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 77, 443, 896, 118?
GCD of 77, 443, 896, 118 is 1
2. Where do I get the detailed procedure to find GCD of 77, 443, 896, 118?
You can find a detailed procedure to find GCD of 77, 443, 896, 118 on our page.
3. How to find GCD of 77, 443, 896, 118 on a calculator?
You can find the GCD of 77, 443, 896, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.