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 996, 262, 125, 608 i.e. 1 largest integer that divides all the numbers equally.
GCD of 996, 262, 125, 608 is 1
GCD(996, 262, 125, 608) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 996, 262, 125, 608 is 1
GCD(996, 262, 125, 608) = 1
Given Input numbers are 996, 262, 125, 608
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 996
List of positive integer divisors of 996 that divides 996 without a remainder.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 262
List of positive integer divisors of 262 that divides 262 without a remainder.
1, 2, 131, 262
Divisors of 125
List of positive integer divisors of 125 that divides 125 without a remainder.
1, 5, 25, 125
Divisors of 608
List of positive integer divisors of 608 that divides 608 without a remainder.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
Greatest Common Divisior
We found the divisors of 996, 262, 125, 608 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 262, 125, 608 is 1.
Therefore, GCD of numbers 996, 262, 125, 608 is 1
Given Input Data is 996, 262, 125, 608
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 996 is 2 x 2 x 3 x 83
Prime Factorization of 262 is 2 x 131
Prime Factorization of 125 is 5 x 5 x 5
Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19
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(996, 262) = 130476
GCD(996, 262) = ( 996 x 262 ) / 130476
GCD(996, 262) = 260952 / 130476
GCD(996, 262) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 125
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 125) = 250
GCD(2, 125) = ( 2 x 125 ) / 250
GCD(2, 125) = 250 / 250
GCD(2, 125) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 608
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 608) = 608
GCD(1, 608) = ( 1 x 608 ) / 608
GCD(1, 608) = 608 / 608
GCD(1, 608) = 1
GCD of 996, 262, 125, 608 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 996, 262, 125, 608?
GCD of 996, 262, 125, 608 is 1
2. Where do I get the detailed procedure to find GCD of 996, 262, 125, 608?
You can find a detailed procedure to find GCD of 996, 262, 125, 608 on our page.
3. How to find GCD of 996, 262, 125, 608 on a calculator?
You can find the GCD of 996, 262, 125, 608 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.