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 845, 345, 42, 562 i.e. 1 largest integer that divides all the numbers equally.
GCD of 845, 345, 42, 562 is 1
GCD(845, 345, 42, 562) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 845, 345, 42, 562 is 1
GCD(845, 345, 42, 562) = 1
Given Input numbers are 845, 345, 42, 562
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 845
List of positive integer divisors of 845 that divides 845 without a remainder.
1, 5, 13, 65, 169, 845
Divisors of 345
List of positive integer divisors of 345 that divides 345 without a remainder.
1, 3, 5, 15, 23, 69, 115, 345
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 562
List of positive integer divisors of 562 that divides 562 without a remainder.
1, 2, 281, 562
Greatest Common Divisior
We found the divisors of 845, 345, 42, 562 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 845, 345, 42, 562 is 1.
Therefore, GCD of numbers 845, 345, 42, 562 is 1
Given Input Data is 845, 345, 42, 562
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 845 is 5 x 13 x 13
Prime Factorization of 345 is 3 x 5 x 23
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 562 is 2 x 281
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(845, 345) = 58305
GCD(845, 345) = ( 845 x 345 ) / 58305
GCD(845, 345) = 291525 / 58305
GCD(845, 345) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 42) = 210
GCD(5, 42) = ( 5 x 42 ) / 210
GCD(5, 42) = 210 / 210
GCD(5, 42) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 562
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 562) = 562
GCD(1, 562) = ( 1 x 562 ) / 562
GCD(1, 562) = 562 / 562
GCD(1, 562) = 1
GCD of 845, 345, 42, 562 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 845, 345, 42, 562?
GCD of 845, 345, 42, 562 is 1
2. Where do I get the detailed procedure to find GCD of 845, 345, 42, 562?
You can find a detailed procedure to find GCD of 845, 345, 42, 562 on our page.
3. How to find GCD of 845, 345, 42, 562 on a calculator?
You can find the GCD of 845, 345, 42, 562 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.