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 145, 444, 760, 177 i.e. 1 largest integer that divides all the numbers equally.
GCD of 145, 444, 760, 177 is 1
GCD(145, 444, 760, 177) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 145, 444, 760, 177 is 1
GCD(145, 444, 760, 177) = 1
Given Input numbers are 145, 444, 760, 177
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Divisors of 444
List of positive integer divisors of 444 that divides 444 without a remainder.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
Divisors of 760
List of positive integer divisors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 177
List of positive integer divisors of 177 that divides 177 without a remainder.
1, 3, 59, 177
Greatest Common Divisior
We found the divisors of 145, 444, 760, 177 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 145, 444, 760, 177 is 1.
Therefore, GCD of numbers 145, 444, 760, 177 is 1
Given Input Data is 145, 444, 760, 177
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 145 is 5 x 29
Prime Factorization of 444 is 2 x 2 x 3 x 37
Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19
Prime Factorization of 177 is 3 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(145, 444) = 64380
GCD(145, 444) = ( 145 x 444 ) / 64380
GCD(145, 444) = 64380 / 64380
GCD(145, 444) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 760
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 760) = 760
GCD(1, 760) = ( 1 x 760 ) / 760
GCD(1, 760) = 760 / 760
GCD(1, 760) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 177
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 177) = 177
GCD(1, 177) = ( 1 x 177 ) / 177
GCD(1, 177) = 177 / 177
GCD(1, 177) = 1
GCD of 145, 444, 760, 177 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 145, 444, 760, 177?
GCD of 145, 444, 760, 177 is 1
2. Where do I get the detailed procedure to find GCD of 145, 444, 760, 177?
You can find a detailed procedure to find GCD of 145, 444, 760, 177 on our page.
3. How to find GCD of 145, 444, 760, 177 on a calculator?
You can find the GCD of 145, 444, 760, 177 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.