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 677, 420, 44, 258 i.e. 1 largest integer that divides all the numbers equally.
GCD of 677, 420, 44, 258 is 1
GCD(677, 420, 44, 258) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 677, 420, 44, 258 is 1
GCD(677, 420, 44, 258) = 1
Given Input numbers are 677, 420, 44, 258
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 677
List of positive integer divisors of 677 that divides 677 without a remainder.
1, 677
Divisors of 420
List of positive integer divisors of 420 that divides 420 without a remainder.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 44
List of positive integer divisors of 44 that divides 44 without a remainder.
1, 2, 4, 11, 22, 44
Divisors of 258
List of positive integer divisors of 258 that divides 258 without a remainder.
1, 2, 3, 6, 43, 86, 129, 258
Greatest Common Divisior
We found the divisors of 677, 420, 44, 258 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 677, 420, 44, 258 is 1.
Therefore, GCD of numbers 677, 420, 44, 258 is 1
Given Input Data is 677, 420, 44, 258
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 677 is 677
Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7
Prime Factorization of 44 is 2 x 2 x 11
Prime Factorization of 258 is 2 x 3 x 43
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(677, 420) = 284340
GCD(677, 420) = ( 677 x 420 ) / 284340
GCD(677, 420) = 284340 / 284340
GCD(677, 420) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 44
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 44) = 44
GCD(1, 44) = ( 1 x 44 ) / 44
GCD(1, 44) = 44 / 44
GCD(1, 44) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 258
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 258) = 258
GCD(1, 258) = ( 1 x 258 ) / 258
GCD(1, 258) = 258 / 258
GCD(1, 258) = 1
GCD of 677, 420, 44, 258 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 677, 420, 44, 258?
GCD of 677, 420, 44, 258 is 1
2. Where do I get the detailed procedure to find GCD of 677, 420, 44, 258?
You can find a detailed procedure to find GCD of 677, 420, 44, 258 on our page.
3. How to find GCD of 677, 420, 44, 258 on a calculator?
You can find the GCD of 677, 420, 44, 258 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.