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, 940, 686, 111 i.e. 1 largest integer that divides all the numbers equally.
GCD of 940, 940, 686, 111 is 1
GCD(940, 940, 686, 111) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 940, 940, 686, 111 is 1
GCD(940, 940, 686, 111) = 1
Given Input numbers are 940, 940, 686, 111
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 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 686
List of positive integer divisors of 686 that divides 686 without a remainder.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 111
List of positive integer divisors of 111 that divides 111 without a remainder.
1, 3, 37, 111
Greatest Common Divisior
We found the divisors of 940, 940, 686, 111 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 940, 686, 111 is 1.
Therefore, GCD of numbers 940, 940, 686, 111 is 1
Given Input Data is 940, 940, 686, 111
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 940 is 2 x 2 x 5 x 47
Prime Factorization of 686 is 2 x 7 x 7 x 7
Prime Factorization of 111 is 3 x 37
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(940, 940) = 940
GCD(940, 940) = ( 940 x 940 ) / 940
GCD(940, 940) = 883600 / 940
GCD(940, 940) = 940
Step2:
Here we consider the GCD from the above i.e. 940 as first number and the next as 686
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(940, 686) = 322420
GCD(940, 686) = ( 940 x 686 ) / 322420
GCD(940, 686) = 644840 / 322420
GCD(940, 686) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 111
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 111) = 222
GCD(2, 111) = ( 2 x 111 ) / 222
GCD(2, 111) = 222 / 222
GCD(2, 111) = 1
GCD of 940, 940, 686, 111 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 940, 940, 686, 111?
GCD of 940, 940, 686, 111 is 1
2. Where do I get the detailed procedure to find GCD of 940, 940, 686, 111?
You can find a detailed procedure to find GCD of 940, 940, 686, 111 on our page.
3. How to find GCD of 940, 940, 686, 111 on a calculator?
You can find the GCD of 940, 940, 686, 111 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.