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 46, 845, 254, 972 i.e. 1 largest integer that divides all the numbers equally.
GCD of 46, 845, 254, 972 is 1
GCD(46, 845, 254, 972) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 46, 845, 254, 972 is 1
GCD(46, 845, 254, 972) = 1
Given Input numbers are 46, 845, 254, 972
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Divisors of 845
List of positive integer divisors of 845 that divides 845 without a remainder.
1, 5, 13, 65, 169, 845
Divisors of 254
List of positive integer divisors of 254 that divides 254 without a remainder.
1, 2, 127, 254
Divisors of 972
List of positive integer divisors of 972 that divides 972 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Greatest Common Divisior
We found the divisors of 46, 845, 254, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 845, 254, 972 is 1.
Therefore, GCD of numbers 46, 845, 254, 972 is 1
Given Input Data is 46, 845, 254, 972
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 46 is 2 x 23
Prime Factorization of 845 is 5 x 13 x 13
Prime Factorization of 254 is 2 x 127
Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3
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(46, 845) = 38870
GCD(46, 845) = ( 46 x 845 ) / 38870
GCD(46, 845) = 38870 / 38870
GCD(46, 845) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 254
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 254) = 254
GCD(1, 254) = ( 1 x 254 ) / 254
GCD(1, 254) = 254 / 254
GCD(1, 254) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 972
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
GCD(1, 972) = 972 / 972
GCD(1, 972) = 1
GCD of 46, 845, 254, 972 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 46, 845, 254, 972?
GCD of 46, 845, 254, 972 is 1
2. Where do I get the detailed procedure to find GCD of 46, 845, 254, 972?
You can find a detailed procedure to find GCD of 46, 845, 254, 972 on our page.
3. How to find GCD of 46, 845, 254, 972 on a calculator?
You can find the GCD of 46, 845, 254, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.