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 42, 177, 608, 982 i.e. 1 largest integer that divides all the numbers equally.
GCD of 42, 177, 608, 982 is 1
GCD(42, 177, 608, 982) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 42, 177, 608, 982 is 1
GCD(42, 177, 608, 982) = 1
Given Input numbers are 42, 177, 608, 982
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 177
List of positive integer divisors of 177 that divides 177 without a remainder.
1, 3, 59, 177
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
Divisors of 982
List of positive integer divisors of 982 that divides 982 without a remainder.
1, 2, 491, 982
Greatest Common Divisior
We found the divisors of 42, 177, 608, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 177, 608, 982 is 1.
Therefore, GCD of numbers 42, 177, 608, 982 is 1
Given Input Data is 42, 177, 608, 982
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 177 is 3 x 59
Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19
Prime Factorization of 982 is 2 x 491
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(42, 177) = 2478
GCD(42, 177) = ( 42 x 177 ) / 2478
GCD(42, 177) = 7434 / 2478
GCD(42, 177) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 608
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 608) = 1824
GCD(3, 608) = ( 3 x 608 ) / 1824
GCD(3, 608) = 1824 / 1824
GCD(3, 608) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 982
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 982) = 982
GCD(1, 982) = ( 1 x 982 ) / 982
GCD(1, 982) = 982 / 982
GCD(1, 982) = 1
GCD of 42, 177, 608, 982 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 42, 177, 608, 982?
GCD of 42, 177, 608, 982 is 1
2. Where do I get the detailed procedure to find GCD of 42, 177, 608, 982?
You can find a detailed procedure to find GCD of 42, 177, 608, 982 on our page.
3. How to find GCD of 42, 177, 608, 982 on a calculator?
You can find the GCD of 42, 177, 608, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.