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 76, 655, 514, 987 i.e. 1 largest integer that divides all the numbers equally.
GCD of 76, 655, 514, 987 is 1
GCD(76, 655, 514, 987) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 76, 655, 514, 987 is 1
GCD(76, 655, 514, 987) = 1
Given Input numbers are 76, 655, 514, 987
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 655
List of positive integer divisors of 655 that divides 655 without a remainder.
1, 5, 131, 655
Divisors of 514
List of positive integer divisors of 514 that divides 514 without a remainder.
1, 2, 257, 514
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 76, 655, 514, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 655, 514, 987 is 1.
Therefore, GCD of numbers 76, 655, 514, 987 is 1
Given Input Data is 76, 655, 514, 987
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 655 is 5 x 131
Prime Factorization of 514 is 2 x 257
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(76, 655) = 49780
GCD(76, 655) = ( 76 x 655 ) / 49780
GCD(76, 655) = 49780 / 49780
GCD(76, 655) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 514
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 514) = 514
GCD(1, 514) = ( 1 x 514 ) / 514
GCD(1, 514) = 514 / 514
GCD(1, 514) = 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 76, 655, 514, 987 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 76, 655, 514, 987?
GCD of 76, 655, 514, 987 is 1
2. Where do I get the detailed procedure to find GCD of 76, 655, 514, 987?
You can find a detailed procedure to find GCD of 76, 655, 514, 987 on our page.
3. How to find GCD of 76, 655, 514, 987 on a calculator?
You can find the GCD of 76, 655, 514, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.