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 63, 461, 112, 892 i.e. 1 largest integer that divides all the numbers equally.
GCD of 63, 461, 112, 892 is 1
GCD(63, 461, 112, 892) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 63, 461, 112, 892 is 1
GCD(63, 461, 112, 892) = 1
Given Input numbers are 63, 461, 112, 892
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Divisors of 461
List of positive integer divisors of 461 that divides 461 without a remainder.
1, 461
Divisors of 112
List of positive integer divisors of 112 that divides 112 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 892
List of positive integer divisors of 892 that divides 892 without a remainder.
1, 2, 4, 223, 446, 892
Greatest Common Divisior
We found the divisors of 63, 461, 112, 892 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 63, 461, 112, 892 is 1.
Therefore, GCD of numbers 63, 461, 112, 892 is 1
Given Input Data is 63, 461, 112, 892
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 63 is 3 x 3 x 7
Prime Factorization of 461 is 461
Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7
Prime Factorization of 892 is 2 x 2 x 223
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(63, 461) = 29043
GCD(63, 461) = ( 63 x 461 ) / 29043
GCD(63, 461) = 29043 / 29043
GCD(63, 461) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 112
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 112) = 112
GCD(1, 112) = ( 1 x 112 ) / 112
GCD(1, 112) = 112 / 112
GCD(1, 112) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 892
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 892) = 892
GCD(1, 892) = ( 1 x 892 ) / 892
GCD(1, 892) = 892 / 892
GCD(1, 892) = 1
GCD of 63, 461, 112, 892 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 63, 461, 112, 892?
GCD of 63, 461, 112, 892 is 1
2. Where do I get the detailed procedure to find GCD of 63, 461, 112, 892?
You can find a detailed procedure to find GCD of 63, 461, 112, 892 on our page.
3. How to find GCD of 63, 461, 112, 892 on a calculator?
You can find the GCD of 63, 461, 112, 892 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.