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, 287, 626, 188 i.e. 1 largest integer that divides all the numbers equally.
GCD of 77, 287, 626, 188 is 1
GCD(77, 287, 626, 188) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 77, 287, 626, 188 is 1
GCD(77, 287, 626, 188) = 1
Given Input numbers are 77, 287, 626, 188
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 287
List of positive integer divisors of 287 that divides 287 without a remainder.
1, 7, 41, 287
Divisors of 626
List of positive integer divisors of 626 that divides 626 without a remainder.
1, 2, 313, 626
Divisors of 188
List of positive integer divisors of 188 that divides 188 without a remainder.
1, 2, 4, 47, 94, 188
Greatest Common Divisior
We found the divisors of 77, 287, 626, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 287, 626, 188 is 1.
Therefore, GCD of numbers 77, 287, 626, 188 is 1
Given Input Data is 77, 287, 626, 188
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 77 is 7 x 11
Prime Factorization of 287 is 7 x 41
Prime Factorization of 626 is 2 x 313
Prime Factorization of 188 is 2 x 2 x 47
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, 287) = 3157
GCD(77, 287) = ( 77 x 287 ) / 3157
GCD(77, 287) = 22099 / 3157
GCD(77, 287) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 626
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 626) = 4382
GCD(7, 626) = ( 7 x 626 ) / 4382
GCD(7, 626) = 4382 / 4382
GCD(7, 626) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 188
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 188) = 188
GCD(1, 188) = ( 1 x 188 ) / 188
GCD(1, 188) = 188 / 188
GCD(1, 188) = 1
GCD of 77, 287, 626, 188 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 77, 287, 626, 188?
GCD of 77, 287, 626, 188 is 1
2. Where do I get the detailed procedure to find GCD of 77, 287, 626, 188?
You can find a detailed procedure to find GCD of 77, 287, 626, 188 on our page.
3. How to find GCD of 77, 287, 626, 188 on a calculator?
You can find the GCD of 77, 287, 626, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.