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 841, 784, 398, 925 i.e. 1 largest integer that divides all the numbers equally.
GCD of 841, 784, 398, 925 is 1
GCD(841, 784, 398, 925) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 841, 784, 398, 925 is 1
GCD(841, 784, 398, 925) = 1
Given Input numbers are 841, 784, 398, 925
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 841
List of positive integer divisors of 841 that divides 841 without a remainder.
1, 29, 841
Divisors of 784
List of positive integer divisors of 784 that divides 784 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 398
List of positive integer divisors of 398 that divides 398 without a remainder.
1, 2, 199, 398
Divisors of 925
List of positive integer divisors of 925 that divides 925 without a remainder.
1, 5, 25, 37, 185, 925
Greatest Common Divisior
We found the divisors of 841, 784, 398, 925 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 841, 784, 398, 925 is 1.
Therefore, GCD of numbers 841, 784, 398, 925 is 1
Given Input Data is 841, 784, 398, 925
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 841 is 29 x 29
Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7
Prime Factorization of 398 is 2 x 199
Prime Factorization of 925 is 5 x 5 x 37
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(841, 784) = 659344
GCD(841, 784) = ( 841 x 784 ) / 659344
GCD(841, 784) = 659344 / 659344
GCD(841, 784) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 398
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 398) = 398
GCD(1, 398) = ( 1 x 398 ) / 398
GCD(1, 398) = 398 / 398
GCD(1, 398) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 925
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 925) = 925
GCD(1, 925) = ( 1 x 925 ) / 925
GCD(1, 925) = 925 / 925
GCD(1, 925) = 1
GCD of 841, 784, 398, 925 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 841, 784, 398, 925?
GCD of 841, 784, 398, 925 is 1
2. Where do I get the detailed procedure to find GCD of 841, 784, 398, 925?
You can find a detailed procedure to find GCD of 841, 784, 398, 925 on our page.
3. How to find GCD of 841, 784, 398, 925 on a calculator?
You can find the GCD of 841, 784, 398, 925 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.