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 674, 947, 496, 825 i.e. 1 largest integer that divides all the numbers equally.
GCD of 674, 947, 496, 825 is 1
GCD(674, 947, 496, 825) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 674, 947, 496, 825 is 1
GCD(674, 947, 496, 825) = 1
Given Input numbers are 674, 947, 496, 825
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 674
List of positive integer divisors of 674 that divides 674 without a remainder.
1, 2, 337, 674
Divisors of 947
List of positive integer divisors of 947 that divides 947 without a remainder.
1, 947
Divisors of 496
List of positive integer divisors of 496 that divides 496 without a remainder.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 825
List of positive integer divisors of 825 that divides 825 without a remainder.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Greatest Common Divisior
We found the divisors of 674, 947, 496, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 947, 496, 825 is 1.
Therefore, GCD of numbers 674, 947, 496, 825 is 1
Given Input Data is 674, 947, 496, 825
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 674 is 2 x 337
Prime Factorization of 947 is 947
Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31
Prime Factorization of 825 is 3 x 5 x 5 x 11
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(674, 947) = 638278
GCD(674, 947) = ( 674 x 947 ) / 638278
GCD(674, 947) = 638278 / 638278
GCD(674, 947) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 496
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 496) = 496
GCD(1, 496) = ( 1 x 496 ) / 496
GCD(1, 496) = 496 / 496
GCD(1, 496) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 825
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 825) = 825
GCD(1, 825) = ( 1 x 825 ) / 825
GCD(1, 825) = 825 / 825
GCD(1, 825) = 1
GCD of 674, 947, 496, 825 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 674, 947, 496, 825?
GCD of 674, 947, 496, 825 is 1
2. Where do I get the detailed procedure to find GCD of 674, 947, 496, 825?
You can find a detailed procedure to find GCD of 674, 947, 496, 825 on our page.
3. How to find GCD of 674, 947, 496, 825 on a calculator?
You can find the GCD of 674, 947, 496, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.