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 892, 668, 624, 799 i.e. 1 largest integer that divides all the numbers equally.
GCD of 892, 668, 624, 799 is 1
GCD(892, 668, 624, 799) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 892, 668, 624, 799 is 1
GCD(892, 668, 624, 799) = 1
Given Input numbers are 892, 668, 624, 799
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 892
List of positive integer divisors of 892 that divides 892 without a remainder.
1, 2, 4, 223, 446, 892
Divisors of 668
List of positive integer divisors of 668 that divides 668 without a remainder.
1, 2, 4, 167, 334, 668
Divisors of 624
List of positive integer divisors of 624 that divides 624 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Divisors of 799
List of positive integer divisors of 799 that divides 799 without a remainder.
1, 17, 47, 799
Greatest Common Divisior
We found the divisors of 892, 668, 624, 799 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 892, 668, 624, 799 is 1.
Therefore, GCD of numbers 892, 668, 624, 799 is 1
Given Input Data is 892, 668, 624, 799
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 892 is 2 x 2 x 223
Prime Factorization of 668 is 2 x 2 x 167
Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13
Prime Factorization of 799 is 17 x 47
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(892, 668) = 148964
GCD(892, 668) = ( 892 x 668 ) / 148964
GCD(892, 668) = 595856 / 148964
GCD(892, 668) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 624
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 624) = 624
GCD(4, 624) = ( 4 x 624 ) / 624
GCD(4, 624) = 2496 / 624
GCD(4, 624) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 799
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 799) = 3196
GCD(4, 799) = ( 4 x 799 ) / 3196
GCD(4, 799) = 3196 / 3196
GCD(4, 799) = 1
GCD of 892, 668, 624, 799 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 892, 668, 624, 799?
GCD of 892, 668, 624, 799 is 1
2. Where do I get the detailed procedure to find GCD of 892, 668, 624, 799?
You can find a detailed procedure to find GCD of 892, 668, 624, 799 on our page.
3. How to find GCD of 892, 668, 624, 799 on a calculator?
You can find the GCD of 892, 668, 624, 799 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.