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 145, 874, 785, 783 i.e. 1 largest integer that divides all the numbers equally.
GCD of 145, 874, 785, 783 is 1
GCD(145, 874, 785, 783) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 145, 874, 785, 783 is 1
GCD(145, 874, 785, 783) = 1
Given Input numbers are 145, 874, 785, 783
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Divisors of 874
List of positive integer divisors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 785
List of positive integer divisors of 785 that divides 785 without a remainder.
1, 5, 157, 785
Divisors of 783
List of positive integer divisors of 783 that divides 783 without a remainder.
1, 3, 9, 27, 29, 87, 261, 783
Greatest Common Divisior
We found the divisors of 145, 874, 785, 783 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 145, 874, 785, 783 is 1.
Therefore, GCD of numbers 145, 874, 785, 783 is 1
Given Input Data is 145, 874, 785, 783
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 145 is 5 x 29
Prime Factorization of 874 is 2 x 19 x 23
Prime Factorization of 785 is 5 x 157
Prime Factorization of 783 is 3 x 3 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(145, 874) = 126730
GCD(145, 874) = ( 145 x 874 ) / 126730
GCD(145, 874) = 126730 / 126730
GCD(145, 874) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 785
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 785) = 785
GCD(1, 785) = ( 1 x 785 ) / 785
GCD(1, 785) = 785 / 785
GCD(1, 785) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 783
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 783) = 783
GCD(1, 783) = ( 1 x 783 ) / 783
GCD(1, 783) = 783 / 783
GCD(1, 783) = 1
GCD of 145, 874, 785, 783 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 145, 874, 785, 783?
GCD of 145, 874, 785, 783 is 1
2. Where do I get the detailed procedure to find GCD of 145, 874, 785, 783?
You can find a detailed procedure to find GCD of 145, 874, 785, 783 on our page.
3. How to find GCD of 145, 874, 785, 783 on a calculator?
You can find the GCD of 145, 874, 785, 783 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.