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 901, 784, 146, 696 i.e. 1 largest integer that divides all the numbers equally.
GCD of 901, 784, 146, 696 is 1
GCD(901, 784, 146, 696) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 901, 784, 146, 696 is 1
GCD(901, 784, 146, 696) = 1
Given Input numbers are 901, 784, 146, 696
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 901
List of positive integer divisors of 901 that divides 901 without a remainder.
1, 17, 53, 901
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 146
List of positive integer divisors of 146 that divides 146 without a remainder.
1, 2, 73, 146
Divisors of 696
List of positive integer divisors of 696 that divides 696 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Greatest Common Divisior
We found the divisors of 901, 784, 146, 696 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 901, 784, 146, 696 is 1.
Therefore, GCD of numbers 901, 784, 146, 696 is 1
Given Input Data is 901, 784, 146, 696
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 901 is 17 x 53
Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7
Prime Factorization of 146 is 2 x 73
Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29
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(901, 784) = 706384
GCD(901, 784) = ( 901 x 784 ) / 706384
GCD(901, 784) = 706384 / 706384
GCD(901, 784) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 146
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 146) = 146
GCD(1, 146) = ( 1 x 146 ) / 146
GCD(1, 146) = 146 / 146
GCD(1, 146) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 696
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 696) = 696
GCD(1, 696) = ( 1 x 696 ) / 696
GCD(1, 696) = 696 / 696
GCD(1, 696) = 1
GCD of 901, 784, 146, 696 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 901, 784, 146, 696?
GCD of 901, 784, 146, 696 is 1
2. Where do I get the detailed procedure to find GCD of 901, 784, 146, 696?
You can find a detailed procedure to find GCD of 901, 784, 146, 696 on our page.
3. How to find GCD of 901, 784, 146, 696 on a calculator?
You can find the GCD of 901, 784, 146, 696 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.