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, 632, 671, 874 i.e. 1 largest integer that divides all the numbers equally.
GCD of 145, 632, 671, 874 is 1
GCD(145, 632, 671, 874) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 145, 632, 671, 874 is 1
GCD(145, 632, 671, 874) = 1
Given Input numbers are 145, 632, 671, 874
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 632
List of positive integer divisors of 632 that divides 632 without a remainder.
1, 2, 4, 8, 79, 158, 316, 632
Divisors of 671
List of positive integer divisors of 671 that divides 671 without a remainder.
1, 11, 61, 671
Divisors of 874
List of positive integer divisors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
Greatest Common Divisior
We found the divisors of 145, 632, 671, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 145, 632, 671, 874 is 1.
Therefore, GCD of numbers 145, 632, 671, 874 is 1
Given Input Data is 145, 632, 671, 874
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 145 is 5 x 29
Prime Factorization of 632 is 2 x 2 x 2 x 79
Prime Factorization of 671 is 11 x 61
Prime Factorization of 874 is 2 x 19 x 23
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, 632) = 91640
GCD(145, 632) = ( 145 x 632 ) / 91640
GCD(145, 632) = 91640 / 91640
GCD(145, 632) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 874
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 874) = 874
GCD(1, 874) = ( 1 x 874 ) / 874
GCD(1, 874) = 874 / 874
GCD(1, 874) = 1
GCD of 145, 632, 671, 874 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 145, 632, 671, 874?
GCD of 145, 632, 671, 874 is 1
2. Where do I get the detailed procedure to find GCD of 145, 632, 671, 874?
You can find a detailed procedure to find GCD of 145, 632, 671, 874 on our page.
3. How to find GCD of 145, 632, 671, 874 on a calculator?
You can find the GCD of 145, 632, 671, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.