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 777, 448, 24, 155 i.e. 1 largest integer that divides all the numbers equally.
GCD of 777, 448, 24, 155 is 1
GCD(777, 448, 24, 155) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 777, 448, 24, 155 is 1
GCD(777, 448, 24, 155) = 1
Given Input numbers are 777, 448, 24, 155
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 777
List of positive integer divisors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Divisors of 448
List of positive integer divisors of 448 that divides 448 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Divisors of 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 155
List of positive integer divisors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Greatest Common Divisior
We found the divisors of 777, 448, 24, 155 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 777, 448, 24, 155 is 1.
Therefore, GCD of numbers 777, 448, 24, 155 is 1
Given Input Data is 777, 448, 24, 155
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 777 is 3 x 7 x 37
Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 155 is 5 x 31
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(777, 448) = 49728
GCD(777, 448) = ( 777 x 448 ) / 49728
GCD(777, 448) = 348096 / 49728
GCD(777, 448) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 24
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 24) = 168
GCD(7, 24) = ( 7 x 24 ) / 168
GCD(7, 24) = 168 / 168
GCD(7, 24) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 155
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 155) = 155
GCD(1, 155) = ( 1 x 155 ) / 155
GCD(1, 155) = 155 / 155
GCD(1, 155) = 1
GCD of 777, 448, 24, 155 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 777, 448, 24, 155?
GCD of 777, 448, 24, 155 is 1
2. Where do I get the detailed procedure to find GCD of 777, 448, 24, 155?
You can find a detailed procedure to find GCD of 777, 448, 24, 155 on our page.
3. How to find GCD of 777, 448, 24, 155 on a calculator?
You can find the GCD of 777, 448, 24, 155 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.