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 252, 148, 606, 986 i.e. 2 largest integer that divides all the numbers equally.
GCD of 252, 148, 606, 986 is 2
GCD(252, 148, 606, 986) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 252, 148, 606, 986 is 2
GCD(252, 148, 606, 986) = 2
Given Input numbers are 252, 148, 606, 986
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 252
List of positive integer divisors of 252 that divides 252 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Divisors of 148
List of positive integer divisors of 148 that divides 148 without a remainder.
1, 2, 4, 37, 74, 148
Divisors of 606
List of positive integer divisors of 606 that divides 606 without a remainder.
1, 2, 3, 6, 101, 202, 303, 606
Divisors of 986
List of positive integer divisors of 986 that divides 986 without a remainder.
1, 2, 17, 29, 34, 58, 493, 986
Greatest Common Divisior
We found the divisors of 252, 148, 606, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 148, 606, 986 is 2.
Therefore, GCD of numbers 252, 148, 606, 986 is 2
Given Input Data is 252, 148, 606, 986
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7
Prime Factorization of 148 is 2 x 2 x 37
Prime Factorization of 606 is 2 x 3 x 101
Prime Factorization of 986 is 2 x 17 x 29
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(252, 148) = 9324
GCD(252, 148) = ( 252 x 148 ) / 9324
GCD(252, 148) = 37296 / 9324
GCD(252, 148) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 606
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 606) = 1212
GCD(4, 606) = ( 4 x 606 ) / 1212
GCD(4, 606) = 2424 / 1212
GCD(4, 606) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 986
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 986) = 986
GCD(2, 986) = ( 2 x 986 ) / 986
GCD(2, 986) = 1972 / 986
GCD(2, 986) = 2
GCD of 252, 148, 606, 986 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 252, 148, 606, 986?
GCD of 252, 148, 606, 986 is 2
2. Where do I get the detailed procedure to find GCD of 252, 148, 606, 986?
You can find a detailed procedure to find GCD of 252, 148, 606, 986 on our page.
3. How to find GCD of 252, 148, 606, 986 on a calculator?
You can find the GCD of 252, 148, 606, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.