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 940, 810, 50, 138 i.e. 2 largest integer that divides all the numbers equally.
GCD of 940, 810, 50, 138 is 2
GCD(940, 810, 50, 138) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 940, 810, 50, 138 is 2
GCD(940, 810, 50, 138) = 2
Given Input numbers are 940, 810, 50, 138
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 940
List of positive integer divisors of 940 that divides 940 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 810
List of positive integer divisors of 810 that divides 810 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 138
List of positive integer divisors of 138 that divides 138 without a remainder.
1, 2, 3, 6, 23, 46, 69, 138
Greatest Common Divisior
We found the divisors of 940, 810, 50, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 810, 50, 138 is 2.
Therefore, GCD of numbers 940, 810, 50, 138 is 2
Given Input Data is 940, 810, 50, 138
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 940 is 2 x 2 x 5 x 47
Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 138 is 2 x 3 x 23
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(940, 810) = 76140
GCD(940, 810) = ( 940 x 810 ) / 76140
GCD(940, 810) = 761400 / 76140
GCD(940, 810) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 50
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 50) = 50
GCD(10, 50) = ( 10 x 50 ) / 50
GCD(10, 50) = 500 / 50
GCD(10, 50) = 10
Step3:
Here we consider the GCD from the above i.e. 10 as first number and the next as 138
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 138) = 690
GCD(10, 138) = ( 10 x 138 ) / 690
GCD(10, 138) = 1380 / 690
GCD(10, 138) = 2
GCD of 940, 810, 50, 138 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 940, 810, 50, 138?
GCD of 940, 810, 50, 138 is 2
2. Where do I get the detailed procedure to find GCD of 940, 810, 50, 138?
You can find a detailed procedure to find GCD of 940, 810, 50, 138 on our page.
3. How to find GCD of 940, 810, 50, 138 on a calculator?
You can find the GCD of 940, 810, 50, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.