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 578, 842, 41, 700 i.e. 1 largest integer that divides all the numbers equally.
GCD of 578, 842, 41, 700 is 1
GCD(578, 842, 41, 700) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 578, 842, 41, 700 is 1
GCD(578, 842, 41, 700) = 1
Given Input numbers are 578, 842, 41, 700
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 578
List of positive integer divisors of 578 that divides 578 without a remainder.
1, 2, 17, 34, 289, 578
Divisors of 842
List of positive integer divisors of 842 that divides 842 without a remainder.
1, 2, 421, 842
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 700
List of positive integer divisors of 700 that divides 700 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Greatest Common Divisior
We found the divisors of 578, 842, 41, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 578, 842, 41, 700 is 1.
Therefore, GCD of numbers 578, 842, 41, 700 is 1
Given Input Data is 578, 842, 41, 700
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 578 is 2 x 17 x 17
Prime Factorization of 842 is 2 x 421
Prime Factorization of 41 is 41
Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7
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(578, 842) = 243338
GCD(578, 842) = ( 578 x 842 ) / 243338
GCD(578, 842) = 486676 / 243338
GCD(578, 842) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 41) = 82
GCD(2, 41) = ( 2 x 41 ) / 82
GCD(2, 41) = 82 / 82
GCD(2, 41) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 700
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 700) = 700
GCD(1, 700) = ( 1 x 700 ) / 700
GCD(1, 700) = 700 / 700
GCD(1, 700) = 1
GCD of 578, 842, 41, 700 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 578, 842, 41, 700?
GCD of 578, 842, 41, 700 is 1
2. Where do I get the detailed procedure to find GCD of 578, 842, 41, 700?
You can find a detailed procedure to find GCD of 578, 842, 41, 700 on our page.
3. How to find GCD of 578, 842, 41, 700 on a calculator?
You can find the GCD of 578, 842, 41, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.