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 747, 298, 23, 906 i.e. 1 largest integer that divides all the numbers equally.
GCD of 747, 298, 23, 906 is 1
GCD(747, 298, 23, 906) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 747, 298, 23, 906 is 1
GCD(747, 298, 23, 906) = 1
Given Input numbers are 747, 298, 23, 906
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 747
List of positive integer divisors of 747 that divides 747 without a remainder.
1, 3, 9, 83, 249, 747
Divisors of 298
List of positive integer divisors of 298 that divides 298 without a remainder.
1, 2, 149, 298
Divisors of 23
List of positive integer divisors of 23 that divides 23 without a remainder.
1, 23
Divisors of 906
List of positive integer divisors of 906 that divides 906 without a remainder.
1, 2, 3, 6, 151, 302, 453, 906
Greatest Common Divisior
We found the divisors of 747, 298, 23, 906 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 298, 23, 906 is 1.
Therefore, GCD of numbers 747, 298, 23, 906 is 1
Given Input Data is 747, 298, 23, 906
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 747 is 3 x 3 x 83
Prime Factorization of 298 is 2 x 149
Prime Factorization of 23 is 23
Prime Factorization of 906 is 2 x 3 x 151
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(747, 298) = 222606
GCD(747, 298) = ( 747 x 298 ) / 222606
GCD(747, 298) = 222606 / 222606
GCD(747, 298) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 23
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 23) = 23
GCD(1, 23) = ( 1 x 23 ) / 23
GCD(1, 23) = 23 / 23
GCD(1, 23) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 906
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 906) = 906
GCD(1, 906) = ( 1 x 906 ) / 906
GCD(1, 906) = 906 / 906
GCD(1, 906) = 1
GCD of 747, 298, 23, 906 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 747, 298, 23, 906?
GCD of 747, 298, 23, 906 is 1
2. Where do I get the detailed procedure to find GCD of 747, 298, 23, 906?
You can find a detailed procedure to find GCD of 747, 298, 23, 906 on our page.
3. How to find GCD of 747, 298, 23, 906 on a calculator?
You can find the GCD of 747, 298, 23, 906 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.