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 628, 959, 800, 987 i.e. 1 largest integer that divides all the numbers equally.
GCD of 628, 959, 800, 987 is 1
GCD(628, 959, 800, 987) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 628, 959, 800, 987 is 1
GCD(628, 959, 800, 987) = 1
Given Input numbers are 628, 959, 800, 987
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 628
List of positive integer divisors of 628 that divides 628 without a remainder.
1, 2, 4, 157, 314, 628
Divisors of 959
List of positive integer divisors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Divisors of 800
List of positive integer divisors of 800 that divides 800 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
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 628, 959, 800, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 959, 800, 987 is 1.
Therefore, GCD of numbers 628, 959, 800, 987 is 1
Given Input Data is 628, 959, 800, 987
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 628 is 2 x 2 x 157
Prime Factorization of 959 is 7 x 137
Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5
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(628, 959) = 602252
GCD(628, 959) = ( 628 x 959 ) / 602252
GCD(628, 959) = 602252 / 602252
GCD(628, 959) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 800
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 800) = 800
GCD(1, 800) = ( 1 x 800 ) / 800
GCD(1, 800) = 800 / 800
GCD(1, 800) = 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 628, 959, 800, 987 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 628, 959, 800, 987?
GCD of 628, 959, 800, 987 is 1
2. Where do I get the detailed procedure to find GCD of 628, 959, 800, 987?
You can find a detailed procedure to find GCD of 628, 959, 800, 987 on our page.
3. How to find GCD of 628, 959, 800, 987 on a calculator?
You can find the GCD of 628, 959, 800, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.