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 785, 148, 24, 647 i.e. 1 largest integer that divides all the numbers equally.
GCD of 785, 148, 24, 647 is 1
GCD(785, 148, 24, 647) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 785, 148, 24, 647 is 1
GCD(785, 148, 24, 647) = 1
Given Input numbers are 785, 148, 24, 647
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 785
List of positive integer divisors of 785 that divides 785 without a remainder.
1, 5, 157, 785
Divisors of 148
List of positive integer divisors of 148 that divides 148 without a remainder.
1, 2, 4, 37, 74, 148
Divisors of 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 647
List of positive integer divisors of 647 that divides 647 without a remainder.
1, 647
Greatest Common Divisior
We found the divisors of 785, 148, 24, 647 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 785, 148, 24, 647 is 1.
Therefore, GCD of numbers 785, 148, 24, 647 is 1
Given Input Data is 785, 148, 24, 647
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 785 is 5 x 157
Prime Factorization of 148 is 2 x 2 x 37
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 647 is 647
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(785, 148) = 116180
GCD(785, 148) = ( 785 x 148 ) / 116180
GCD(785, 148) = 116180 / 116180
GCD(785, 148) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 24
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 24) = 24
GCD(1, 24) = ( 1 x 24 ) / 24
GCD(1, 24) = 24 / 24
GCD(1, 24) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 647
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 647) = 647
GCD(1, 647) = ( 1 x 647 ) / 647
GCD(1, 647) = 647 / 647
GCD(1, 647) = 1
GCD of 785, 148, 24, 647 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 785, 148, 24, 647?
GCD of 785, 148, 24, 647 is 1
2. Where do I get the detailed procedure to find GCD of 785, 148, 24, 647?
You can find a detailed procedure to find GCD of 785, 148, 24, 647 on our page.
3. How to find GCD of 785, 148, 24, 647 on a calculator?
You can find the GCD of 785, 148, 24, 647 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.