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 92, 862, 863, 100 i.e. 1 largest integer that divides all the numbers equally.
GCD of 92, 862, 863, 100 is 1
GCD(92, 862, 863, 100) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 92, 862, 863, 100 is 1
GCD(92, 862, 863, 100) = 1
Given Input numbers are 92, 862, 863, 100
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 92
List of positive integer divisors of 92 that divides 92 without a remainder.
1, 2, 4, 23, 46, 92
Divisors of 862
List of positive integer divisors of 862 that divides 862 without a remainder.
1, 2, 431, 862
Divisors of 863
List of positive integer divisors of 863 that divides 863 without a remainder.
1, 863
Divisors of 100
List of positive integer divisors of 100 that divides 100 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100
Greatest Common Divisior
We found the divisors of 92, 862, 863, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 92, 862, 863, 100 is 1.
Therefore, GCD of numbers 92, 862, 863, 100 is 1
Given Input Data is 92, 862, 863, 100
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 92 is 2 x 2 x 23
Prime Factorization of 862 is 2 x 431
Prime Factorization of 863 is 863
Prime Factorization of 100 is 2 x 2 x 5 x 5
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(92, 862) = 39652
GCD(92, 862) = ( 92 x 862 ) / 39652
GCD(92, 862) = 79304 / 39652
GCD(92, 862) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 863
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 863) = 1726
GCD(2, 863) = ( 2 x 863 ) / 1726
GCD(2, 863) = 1726 / 1726
GCD(2, 863) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 100
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 100) = 100
GCD(1, 100) = ( 1 x 100 ) / 100
GCD(1, 100) = 100 / 100
GCD(1, 100) = 1
GCD of 92, 862, 863, 100 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 92, 862, 863, 100?
GCD of 92, 862, 863, 100 is 1
2. Where do I get the detailed procedure to find GCD of 92, 862, 863, 100?
You can find a detailed procedure to find GCD of 92, 862, 863, 100 on our page.
3. How to find GCD of 92, 862, 863, 100 on a calculator?
You can find the GCD of 92, 862, 863, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.