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, 679, 555, 987 i.e. 1 largest integer that divides all the numbers equally.
GCD of 77, 679, 555, 987 is 1
GCD(77, 679, 555, 987) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 77, 679, 555, 987 is 1
GCD(77, 679, 555, 987) = 1
Given Input numbers are 77, 679, 555, 987
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 679
List of positive integer divisors of 679 that divides 679 without a remainder.
1, 7, 97, 679
Divisors of 555
List of positive integer divisors of 555 that divides 555 without a remainder.
1, 3, 5, 15, 37, 111, 185, 555
Divisors of 987
List of positive integer divisors of 987 that divides 987 without a remainder.
1, 3, 7, 21, 47, 141, 329, 987
Greatest Common Divisior
We found the divisors of 77, 679, 555, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 679, 555, 987 is 1.
Therefore, GCD of numbers 77, 679, 555, 987 is 1
Given Input Data is 77, 679, 555, 987
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 77 is 7 x 11
Prime Factorization of 679 is 7 x 97
Prime Factorization of 555 is 3 x 5 x 37
Prime Factorization of 987 is 3 x 7 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, 679) = 7469
GCD(77, 679) = ( 77 x 679 ) / 7469
GCD(77, 679) = 52283 / 7469
GCD(77, 679) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 555
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 555) = 3885
GCD(7, 555) = ( 7 x 555 ) / 3885
GCD(7, 555) = 3885 / 3885
GCD(7, 555) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 987
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 987) = 987
GCD(1, 987) = ( 1 x 987 ) / 987
GCD(1, 987) = 987 / 987
GCD(1, 987) = 1
GCD of 77, 679, 555, 987 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 77, 679, 555, 987?
GCD of 77, 679, 555, 987 is 1
2. Where do I get the detailed procedure to find GCD of 77, 679, 555, 987?
You can find a detailed procedure to find GCD of 77, 679, 555, 987 on our page.
3. How to find GCD of 77, 679, 555, 987 on a calculator?
You can find the GCD of 77, 679, 555, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.