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, 149, 42, 575 i.e. 1 largest integer that divides all the numbers equally.
GCD of 777, 149, 42, 575 is 1
GCD(777, 149, 42, 575) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 777, 149, 42, 575 is 1
GCD(777, 149, 42, 575) = 1
Given Input numbers are 777, 149, 42, 575
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 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 575
List of positive integer divisors of 575 that divides 575 without a remainder.
1, 5, 23, 25, 115, 575
Greatest Common Divisior
We found the divisors of 777, 149, 42, 575 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 777, 149, 42, 575 is 1.
Therefore, GCD of numbers 777, 149, 42, 575 is 1
Given Input Data is 777, 149, 42, 575
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 149 is 149
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 575 is 5 x 5 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(777, 149) = 115773
GCD(777, 149) = ( 777 x 149 ) / 115773
GCD(777, 149) = 115773 / 115773
GCD(777, 149) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 42) = 42
GCD(1, 42) = ( 1 x 42 ) / 42
GCD(1, 42) = 42 / 42
GCD(1, 42) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 575
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 575) = 575
GCD(1, 575) = ( 1 x 575 ) / 575
GCD(1, 575) = 575 / 575
GCD(1, 575) = 1
GCD of 777, 149, 42, 575 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 777, 149, 42, 575?
GCD of 777, 149, 42, 575 is 1
2. Where do I get the detailed procedure to find GCD of 777, 149, 42, 575?
You can find a detailed procedure to find GCD of 777, 149, 42, 575 on our page.
3. How to find GCD of 777, 149, 42, 575 on a calculator?
You can find the GCD of 777, 149, 42, 575 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.