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, 251, 101, 671 i.e. 1 largest integer that divides all the numbers equally.
GCD of 784, 251, 101, 671 is 1
GCD(784, 251, 101, 671) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 784, 251, 101, 671 is 1
GCD(784, 251, 101, 671) = 1
Given Input numbers are 784, 251, 101, 671
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 251
List of positive integer divisors of 251 that divides 251 without a remainder.
1, 251
Divisors of 101
List of positive integer divisors of 101 that divides 101 without a remainder.
1, 101
Divisors of 671
List of positive integer divisors of 671 that divides 671 without a remainder.
1, 11, 61, 671
Greatest Common Divisior
We found the divisors of 784, 251, 101, 671 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 251, 101, 671 is 1.
Therefore, GCD of numbers 784, 251, 101, 671 is 1
Given Input Data is 784, 251, 101, 671
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 251 is 251
Prime Factorization of 101 is 101
Prime Factorization of 671 is 11 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, 251) = 196784
GCD(784, 251) = ( 784 x 251 ) / 196784
GCD(784, 251) = 196784 / 196784
GCD(784, 251) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 101
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 101) = 101
GCD(1, 101) = ( 1 x 101 ) / 101
GCD(1, 101) = 101 / 101
GCD(1, 101) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 671
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 671) = 671
GCD(1, 671) = ( 1 x 671 ) / 671
GCD(1, 671) = 671 / 671
GCD(1, 671) = 1
GCD of 784, 251, 101, 671 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 784, 251, 101, 671?
GCD of 784, 251, 101, 671 is 1
2. Where do I get the detailed procedure to find GCD of 784, 251, 101, 671?
You can find a detailed procedure to find GCD of 784, 251, 101, 671 on our page.
3. How to find GCD of 784, 251, 101, 671 on a calculator?
You can find the GCD of 784, 251, 101, 671 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.