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 632, 708, 47, 841 i.e. 1 largest integer that divides all the numbers equally.
GCD of 632, 708, 47, 841 is 1
GCD(632, 708, 47, 841) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 632, 708, 47, 841 is 1
GCD(632, 708, 47, 841) = 1
Given Input numbers are 632, 708, 47, 841
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 632
List of positive integer divisors of 632 that divides 632 without a remainder.
1, 2, 4, 8, 79, 158, 316, 632
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
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 841
List of positive integer divisors of 841 that divides 841 without a remainder.
1, 29, 841
Greatest Common Divisior
We found the divisors of 632, 708, 47, 841 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 632, 708, 47, 841 is 1.
Therefore, GCD of numbers 632, 708, 47, 841 is 1
Given Input Data is 632, 708, 47, 841
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 632 is 2 x 2 x 2 x 79
Prime Factorization of 708 is 2 x 2 x 3 x 59
Prime Factorization of 47 is 47
Prime Factorization of 841 is 29 x 29
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(632, 708) = 111864
GCD(632, 708) = ( 632 x 708 ) / 111864
GCD(632, 708) = 447456 / 111864
GCD(632, 708) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 47) = 188
GCD(4, 47) = ( 4 x 47 ) / 188
GCD(4, 47) = 188 / 188
GCD(4, 47) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 841
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 841) = 841
GCD(1, 841) = ( 1 x 841 ) / 841
GCD(1, 841) = 841 / 841
GCD(1, 841) = 1
GCD of 632, 708, 47, 841 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 632, 708, 47, 841?
GCD of 632, 708, 47, 841 is 1
2. Where do I get the detailed procedure to find GCD of 632, 708, 47, 841?
You can find a detailed procedure to find GCD of 632, 708, 47, 841 on our page.
3. How to find GCD of 632, 708, 47, 841 on a calculator?
You can find the GCD of 632, 708, 47, 841 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.