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, 505, 635, 708 i.e. 1 largest integer that divides all the numbers equally.
GCD of 46, 505, 635, 708 is 1
GCD(46, 505, 635, 708) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 46, 505, 635, 708 is 1
GCD(46, 505, 635, 708) = 1
Given Input numbers are 46, 505, 635, 708
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 505
List of positive integer divisors of 505 that divides 505 without a remainder.
1, 5, 101, 505
Divisors of 635
List of positive integer divisors of 635 that divides 635 without a remainder.
1, 5, 127, 635
Divisors of 708
List of positive integer divisors of 708 that divides 708 without a remainder.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Greatest Common Divisior
We found the divisors of 46, 505, 635, 708 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 505, 635, 708 is 1.
Therefore, GCD of numbers 46, 505, 635, 708 is 1
Given Input Data is 46, 505, 635, 708
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 46 is 2 x 23
Prime Factorization of 505 is 5 x 101
Prime Factorization of 635 is 5 x 127
Prime Factorization of 708 is 2 x 2 x 3 x 59
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, 505) = 23230
GCD(46, 505) = ( 46 x 505 ) / 23230
GCD(46, 505) = 23230 / 23230
GCD(46, 505) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 635
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 635) = 635
GCD(1, 635) = ( 1 x 635 ) / 635
GCD(1, 635) = 635 / 635
GCD(1, 635) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 708
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 708) = 708
GCD(1, 708) = ( 1 x 708 ) / 708
GCD(1, 708) = 708 / 708
GCD(1, 708) = 1
GCD of 46, 505, 635, 708 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 46, 505, 635, 708?
GCD of 46, 505, 635, 708 is 1
2. Where do I get the detailed procedure to find GCD of 46, 505, 635, 708?
You can find a detailed procedure to find GCD of 46, 505, 635, 708 on our page.
3. How to find GCD of 46, 505, 635, 708 on a calculator?
You can find the GCD of 46, 505, 635, 708 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.