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 992, 107, 987, 463 i.e. 1 largest integer that divides all the numbers equally.
GCD of 992, 107, 987, 463 is 1
GCD(992, 107, 987, 463) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 992, 107, 987, 463 is 1
GCD(992, 107, 987, 463) = 1
Given Input numbers are 992, 107, 987, 463
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 992
List of positive integer divisors of 992 that divides 992 without a remainder.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
Divisors of 107
List of positive integer divisors of 107 that divides 107 without a remainder.
1, 107
Divisors of 987
List of positive integer divisors of 987 that divides 987 without a remainder.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 463
List of positive integer divisors of 463 that divides 463 without a remainder.
1, 463
Greatest Common Divisior
We found the divisors of 992, 107, 987, 463 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 992, 107, 987, 463 is 1.
Therefore, GCD of numbers 992, 107, 987, 463 is 1
Given Input Data is 992, 107, 987, 463
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31
Prime Factorization of 107 is 107
Prime Factorization of 987 is 3 x 7 x 47
Prime Factorization of 463 is 463
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(992, 107) = 106144
GCD(992, 107) = ( 992 x 107 ) / 106144
GCD(992, 107) = 106144 / 106144
GCD(992, 107) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 463
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 463) = 463
GCD(1, 463) = ( 1 x 463 ) / 463
GCD(1, 463) = 463 / 463
GCD(1, 463) = 1
GCD of 992, 107, 987, 463 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 992, 107, 987, 463?
GCD of 992, 107, 987, 463 is 1
2. Where do I get the detailed procedure to find GCD of 992, 107, 987, 463?
You can find a detailed procedure to find GCD of 992, 107, 987, 463 on our page.
3. How to find GCD of 992, 107, 987, 463 on a calculator?
You can find the GCD of 992, 107, 987, 463 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.