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, 253, 81, 705 i.e. 1 largest integer that divides all the numbers equally.
GCD of 784, 253, 81, 705 is 1
GCD(784, 253, 81, 705) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 784, 253, 81, 705 is 1
GCD(784, 253, 81, 705) = 1
Given Input numbers are 784, 253, 81, 705
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 253
List of positive integer divisors of 253 that divides 253 without a remainder.
1, 11, 23, 253
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Divisors of 705
List of positive integer divisors of 705 that divides 705 without a remainder.
1, 3, 5, 15, 47, 141, 235, 705
Greatest Common Divisior
We found the divisors of 784, 253, 81, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 253, 81, 705 is 1.
Therefore, GCD of numbers 784, 253, 81, 705 is 1
Given Input Data is 784, 253, 81, 705
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 253 is 11 x 23
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 705 is 3 x 5 x 47
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, 253) = 198352
GCD(784, 253) = ( 784 x 253 ) / 198352
GCD(784, 253) = 198352 / 198352
GCD(784, 253) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 81
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 81) = 81
GCD(1, 81) = ( 1 x 81 ) / 81
GCD(1, 81) = 81 / 81
GCD(1, 81) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 705
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 705) = 705
GCD(1, 705) = ( 1 x 705 ) / 705
GCD(1, 705) = 705 / 705
GCD(1, 705) = 1
GCD of 784, 253, 81, 705 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 784, 253, 81, 705?
GCD of 784, 253, 81, 705 is 1
2. Where do I get the detailed procedure to find GCD of 784, 253, 81, 705?
You can find a detailed procedure to find GCD of 784, 253, 81, 705 on our page.
3. How to find GCD of 784, 253, 81, 705 on a calculator?
You can find the GCD of 784, 253, 81, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.