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 107, 776, 575, 133 i.e. 1 largest integer that divides all the numbers equally.
GCD of 107, 776, 575, 133 is 1
GCD(107, 776, 575, 133) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 107, 776, 575, 133 is 1
GCD(107, 776, 575, 133) = 1
Given Input numbers are 107, 776, 575, 133
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 107
List of positive integer divisors of 107 that divides 107 without a remainder.
1, 107
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 575
List of positive integer divisors of 575 that divides 575 without a remainder.
1, 5, 23, 25, 115, 575
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Greatest Common Divisior
We found the divisors of 107, 776, 575, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 776, 575, 133 is 1.
Therefore, GCD of numbers 107, 776, 575, 133 is 1
Given Input Data is 107, 776, 575, 133
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 107 is 107
Prime Factorization of 776 is 2 x 2 x 2 x 97
Prime Factorization of 575 is 5 x 5 x 23
Prime Factorization of 133 is 7 x 19
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(107, 776) = 83032
GCD(107, 776) = ( 107 x 776 ) / 83032
GCD(107, 776) = 83032 / 83032
GCD(107, 776) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 133
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 133) = 133
GCD(1, 133) = ( 1 x 133 ) / 133
GCD(1, 133) = 133 / 133
GCD(1, 133) = 1
GCD of 107, 776, 575, 133 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 107, 776, 575, 133?
GCD of 107, 776, 575, 133 is 1
2. Where do I get the detailed procedure to find GCD of 107, 776, 575, 133?
You can find a detailed procedure to find GCD of 107, 776, 575, 133 on our page.
3. How to find GCD of 107, 776, 575, 133 on a calculator?
You can find the GCD of 107, 776, 575, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.