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 748, 467, 801, 984 i.e. 1 largest integer that divides all the numbers equally.
GCD of 748, 467, 801, 984 is 1
GCD(748, 467, 801, 984) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 748, 467, 801, 984 is 1
GCD(748, 467, 801, 984) = 1
Given Input numbers are 748, 467, 801, 984
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 748
List of positive integer divisors of 748 that divides 748 without a remainder.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 467
List of positive integer divisors of 467 that divides 467 without a remainder.
1, 467
Divisors of 801
List of positive integer divisors of 801 that divides 801 without a remainder.
1, 3, 9, 89, 267, 801
Divisors of 984
List of positive integer divisors of 984 that divides 984 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Greatest Common Divisior
We found the divisors of 748, 467, 801, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 467, 801, 984 is 1.
Therefore, GCD of numbers 748, 467, 801, 984 is 1
Given Input Data is 748, 467, 801, 984
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 748 is 2 x 2 x 11 x 17
Prime Factorization of 467 is 467
Prime Factorization of 801 is 3 x 3 x 89
Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41
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(748, 467) = 349316
GCD(748, 467) = ( 748 x 467 ) / 349316
GCD(748, 467) = 349316 / 349316
GCD(748, 467) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 801
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 801) = 801
GCD(1, 801) = ( 1 x 801 ) / 801
GCD(1, 801) = 801 / 801
GCD(1, 801) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 984
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 984) = 984
GCD(1, 984) = ( 1 x 984 ) / 984
GCD(1, 984) = 984 / 984
GCD(1, 984) = 1
GCD of 748, 467, 801, 984 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 748, 467, 801, 984?
GCD of 748, 467, 801, 984 is 1
2. Where do I get the detailed procedure to find GCD of 748, 467, 801, 984?
You can find a detailed procedure to find GCD of 748, 467, 801, 984 on our page.
3. How to find GCD of 748, 467, 801, 984 on a calculator?
You can find the GCD of 748, 467, 801, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.