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 784, 602, 99, 427 i.e. 1 largest integer that divides all the numbers equally.
GCD of 784, 602, 99, 427 is 1
GCD(784, 602, 99, 427) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 784, 602, 99, 427 is 1
GCD(784, 602, 99, 427) = 1
Given Input numbers are 784, 602, 99, 427
To find the GCD of numbers using factoring list out all the divisors of each number
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 602
List of positive integer divisors of 602 that divides 602 without a remainder.
1, 2, 7, 14, 43, 86, 301, 602
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 427
List of positive integer divisors of 427 that divides 427 without a remainder.
1, 7, 61, 427
Greatest Common Divisior
We found the divisors of 784, 602, 99, 427 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 602, 99, 427 is 1.
Therefore, GCD of numbers 784, 602, 99, 427 is 1
Given Input Data is 784, 602, 99, 427
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7
Prime Factorization of 602 is 2 x 7 x 43
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 427 is 7 x 61
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(784, 602) = 33712
GCD(784, 602) = ( 784 x 602 ) / 33712
GCD(784, 602) = 471968 / 33712
GCD(784, 602) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 99) = 1386
GCD(14, 99) = ( 14 x 99 ) / 1386
GCD(14, 99) = 1386 / 1386
GCD(14, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 427
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 427) = 427
GCD(1, 427) = ( 1 x 427 ) / 427
GCD(1, 427) = 427 / 427
GCD(1, 427) = 1
GCD of 784, 602, 99, 427 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 784, 602, 99, 427?
GCD of 784, 602, 99, 427 is 1
2. Where do I get the detailed procedure to find GCD of 784, 602, 99, 427?
You can find a detailed procedure to find GCD of 784, 602, 99, 427 on our page.
3. How to find GCD of 784, 602, 99, 427 on a calculator?
You can find the GCD of 784, 602, 99, 427 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.