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, 484, 79, 747 i.e. 1 largest integer that divides all the numbers equally.
GCD of 892, 484, 79, 747 is 1
GCD(892, 484, 79, 747) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 892, 484, 79, 747 is 1
GCD(892, 484, 79, 747) = 1
Given Input numbers are 892, 484, 79, 747
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 484
List of positive integer divisors of 484 that divides 484 without a remainder.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 79
List of positive integer divisors of 79 that divides 79 without a remainder.
1, 79
Divisors of 747
List of positive integer divisors of 747 that divides 747 without a remainder.
1, 3, 9, 83, 249, 747
Greatest Common Divisior
We found the divisors of 892, 484, 79, 747 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 892, 484, 79, 747 is 1.
Therefore, GCD of numbers 892, 484, 79, 747 is 1
Given Input Data is 892, 484, 79, 747
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 484 is 2 x 2 x 11 x 11
Prime Factorization of 79 is 79
Prime Factorization of 747 is 3 x 3 x 83
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, 484) = 107932
GCD(892, 484) = ( 892 x 484 ) / 107932
GCD(892, 484) = 431728 / 107932
GCD(892, 484) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 79
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 79) = 316
GCD(4, 79) = ( 4 x 79 ) / 316
GCD(4, 79) = 316 / 316
GCD(4, 79) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 747
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 747) = 747
GCD(1, 747) = ( 1 x 747 ) / 747
GCD(1, 747) = 747 / 747
GCD(1, 747) = 1
GCD of 892, 484, 79, 747 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 892, 484, 79, 747?
GCD of 892, 484, 79, 747 is 1
2. Where do I get the detailed procedure to find GCD of 892, 484, 79, 747?
You can find a detailed procedure to find GCD of 892, 484, 79, 747 on our page.
3. How to find GCD of 892, 484, 79, 747 on a calculator?
You can find the GCD of 892, 484, 79, 747 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.