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, 860, 500, 691 i.e. 1 largest integer that divides all the numbers equally.
GCD of 940, 860, 500, 691 is 1
GCD(940, 860, 500, 691) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 940, 860, 500, 691 is 1
GCD(940, 860, 500, 691) = 1
Given Input numbers are 940, 860, 500, 691
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 860
List of positive integer divisors of 860 that divides 860 without a remainder.
1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
Divisors of 500
List of positive integer divisors of 500 that divides 500 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 691
List of positive integer divisors of 691 that divides 691 without a remainder.
1, 691
Greatest Common Divisior
We found the divisors of 940, 860, 500, 691 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 860, 500, 691 is 1.
Therefore, GCD of numbers 940, 860, 500, 691 is 1
Given Input Data is 940, 860, 500, 691
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 860 is 2 x 2 x 5 x 43
Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5
Prime Factorization of 691 is 691
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, 860) = 40420
GCD(940, 860) = ( 940 x 860 ) / 40420
GCD(940, 860) = 808400 / 40420
GCD(940, 860) = 20
Step2:
Here we consider the GCD from the above i.e. 20 as first number and the next as 500
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(20, 500) = 500
GCD(20, 500) = ( 20 x 500 ) / 500
GCD(20, 500) = 10000 / 500
GCD(20, 500) = 20
Step3:
Here we consider the GCD from the above i.e. 20 as first number and the next as 691
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(20, 691) = 13820
GCD(20, 691) = ( 20 x 691 ) / 13820
GCD(20, 691) = 13820 / 13820
GCD(20, 691) = 1
GCD of 940, 860, 500, 691 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 940, 860, 500, 691?
GCD of 940, 860, 500, 691 is 1
2. Where do I get the detailed procedure to find GCD of 940, 860, 500, 691?
You can find a detailed procedure to find GCD of 940, 860, 500, 691 on our page.
3. How to find GCD of 940, 860, 500, 691 on a calculator?
You can find the GCD of 940, 860, 500, 691 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.