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 99, 971, 555, 762 i.e. 1 largest integer that divides all the numbers equally.
GCD of 99, 971, 555, 762 is 1
GCD(99, 971, 555, 762) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 99, 971, 555, 762 is 1
GCD(99, 971, 555, 762) = 1
Given Input numbers are 99, 971, 555, 762
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 971
List of positive integer divisors of 971 that divides 971 without a remainder.
1, 971
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 762
List of positive integer divisors of 762 that divides 762 without a remainder.
1, 2, 3, 6, 127, 254, 381, 762
Greatest Common Divisior
We found the divisors of 99, 971, 555, 762 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 971, 555, 762 is 1.
Therefore, GCD of numbers 99, 971, 555, 762 is 1
Given Input Data is 99, 971, 555, 762
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 971 is 971
Prime Factorization of 555 is 3 x 5 x 37
Prime Factorization of 762 is 2 x 3 x 127
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(99, 971) = 96129
GCD(99, 971) = ( 99 x 971 ) / 96129
GCD(99, 971) = 96129 / 96129
GCD(99, 971) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 555
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 555) = 555
GCD(1, 555) = ( 1 x 555 ) / 555
GCD(1, 555) = 555 / 555
GCD(1, 555) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 762
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 762) = 762
GCD(1, 762) = ( 1 x 762 ) / 762
GCD(1, 762) = 762 / 762
GCD(1, 762) = 1
GCD of 99, 971, 555, 762 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 99, 971, 555, 762?
GCD of 99, 971, 555, 762 is 1
2. Where do I get the detailed procedure to find GCD of 99, 971, 555, 762?
You can find a detailed procedure to find GCD of 99, 971, 555, 762 on our page.
3. How to find GCD of 99, 971, 555, 762 on a calculator?
You can find the GCD of 99, 971, 555, 762 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.