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 851, 468, 749, 648 i.e. 1 largest integer that divides all the numbers equally.
GCD of 851, 468, 749, 648 is 1
GCD(851, 468, 749, 648) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 851, 468, 749, 648 is 1
GCD(851, 468, 749, 648) = 1
Given Input numbers are 851, 468, 749, 648
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 851
List of positive integer divisors of 851 that divides 851 without a remainder.
1, 23, 37, 851
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 749
List of positive integer divisors of 749 that divides 749 without a remainder.
1, 7, 107, 749
Divisors of 648
List of positive integer divisors of 648 that divides 648 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Greatest Common Divisior
We found the divisors of 851, 468, 749, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 851, 468, 749, 648 is 1.
Therefore, GCD of numbers 851, 468, 749, 648 is 1
Given Input Data is 851, 468, 749, 648
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 851 is 23 x 37
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
Prime Factorization of 749 is 7 x 107
Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3
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(851, 468) = 398268
GCD(851, 468) = ( 851 x 468 ) / 398268
GCD(851, 468) = 398268 / 398268
GCD(851, 468) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 749
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 749) = 749
GCD(1, 749) = ( 1 x 749 ) / 749
GCD(1, 749) = 749 / 749
GCD(1, 749) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 648
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 648) = 648
GCD(1, 648) = ( 1 x 648 ) / 648
GCD(1, 648) = 648 / 648
GCD(1, 648) = 1
GCD of 851, 468, 749, 648 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 851, 468, 749, 648?
GCD of 851, 468, 749, 648 is 1
2. Where do I get the detailed procedure to find GCD of 851, 468, 749, 648?
You can find a detailed procedure to find GCD of 851, 468, 749, 648 on our page.
3. How to find GCD of 851, 468, 749, 648 on a calculator?
You can find the GCD of 851, 468, 749, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.