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, 953, 402, 558 i.e. 1 largest integer that divides all the numbers equally.
GCD of 46, 953, 402, 558 is 1
GCD(46, 953, 402, 558) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 46, 953, 402, 558 is 1
GCD(46, 953, 402, 558) = 1
Given Input numbers are 46, 953, 402, 558
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 953
List of positive integer divisors of 953 that divides 953 without a remainder.
1, 953
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 558
List of positive integer divisors of 558 that divides 558 without a remainder.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Greatest Common Divisior
We found the divisors of 46, 953, 402, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 953, 402, 558 is 1.
Therefore, GCD of numbers 46, 953, 402, 558 is 1
Given Input Data is 46, 953, 402, 558
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 46 is 2 x 23
Prime Factorization of 953 is 953
Prime Factorization of 402 is 2 x 3 x 67
Prime Factorization of 558 is 2 x 3 x 3 x 31
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, 953) = 43838
GCD(46, 953) = ( 46 x 953 ) / 43838
GCD(46, 953) = 43838 / 43838
GCD(46, 953) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 402
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 402) = 402
GCD(1, 402) = ( 1 x 402 ) / 402
GCD(1, 402) = 402 / 402
GCD(1, 402) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 558
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 558) = 558
GCD(1, 558) = ( 1 x 558 ) / 558
GCD(1, 558) = 558 / 558
GCD(1, 558) = 1
GCD of 46, 953, 402, 558 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 46, 953, 402, 558?
GCD of 46, 953, 402, 558 is 1
2. Where do I get the detailed procedure to find GCD of 46, 953, 402, 558?
You can find a detailed procedure to find GCD of 46, 953, 402, 558 on our page.
3. How to find GCD of 46, 953, 402, 558 on a calculator?
You can find the GCD of 46, 953, 402, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.