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, 138, 743, 837 i.e. 1 largest integer that divides all the numbers equally.
GCD of 145, 138, 743, 837 is 1
GCD(145, 138, 743, 837) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 145, 138, 743, 837 is 1
GCD(145, 138, 743, 837) = 1
Given Input numbers are 145, 138, 743, 837
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 138
List of positive integer divisors of 138 that divides 138 without a remainder.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 743
List of positive integer divisors of 743 that divides 743 without a remainder.
1, 743
Divisors of 837
List of positive integer divisors of 837 that divides 837 without a remainder.
1, 3, 9, 27, 31, 93, 279, 837
Greatest Common Divisior
We found the divisors of 145, 138, 743, 837 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 145, 138, 743, 837 is 1.
Therefore, GCD of numbers 145, 138, 743, 837 is 1
Given Input Data is 145, 138, 743, 837
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 145 is 5 x 29
Prime Factorization of 138 is 2 x 3 x 23
Prime Factorization of 743 is 743
Prime Factorization of 837 is 3 x 3 x 3 x 31
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, 138) = 20010
GCD(145, 138) = ( 145 x 138 ) / 20010
GCD(145, 138) = 20010 / 20010
GCD(145, 138) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 743
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 743) = 743
GCD(1, 743) = ( 1 x 743 ) / 743
GCD(1, 743) = 743 / 743
GCD(1, 743) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 837
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 837) = 837
GCD(1, 837) = ( 1 x 837 ) / 837
GCD(1, 837) = 837 / 837
GCD(1, 837) = 1
GCD of 145, 138, 743, 837 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 145, 138, 743, 837?
GCD of 145, 138, 743, 837 is 1
2. Where do I get the detailed procedure to find GCD of 145, 138, 743, 837?
You can find a detailed procedure to find GCD of 145, 138, 743, 837 on our page.
3. How to find GCD of 145, 138, 743, 837 on a calculator?
You can find the GCD of 145, 138, 743, 837 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.