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, 141, 98, 796 i.e. 1 largest integer that divides all the numbers equally.
GCD of 940, 141, 98, 796 is 1
GCD(940, 141, 98, 796) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 940, 141, 98, 796 is 1
GCD(940, 141, 98, 796) = 1
Given Input numbers are 940, 141, 98, 796
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 141
List of positive integer divisors of 141 that divides 141 without a remainder.
1, 3, 47, 141
Divisors of 98
List of positive integer divisors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49, 98
Divisors of 796
List of positive integer divisors of 796 that divides 796 without a remainder.
1, 2, 4, 199, 398, 796
Greatest Common Divisior
We found the divisors of 940, 141, 98, 796 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 141, 98, 796 is 1.
Therefore, GCD of numbers 940, 141, 98, 796 is 1
Given Input Data is 940, 141, 98, 796
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 141 is 3 x 47
Prime Factorization of 98 is 2 x 7 x 7
Prime Factorization of 796 is 2 x 2 x 199
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, 141) = 2820
GCD(940, 141) = ( 940 x 141 ) / 2820
GCD(940, 141) = 132540 / 2820
GCD(940, 141) = 47
Step2:
Here we consider the GCD from the above i.e. 47 as first number and the next as 98
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(47, 98) = 4606
GCD(47, 98) = ( 47 x 98 ) / 4606
GCD(47, 98) = 4606 / 4606
GCD(47, 98) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 796
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 796) = 796
GCD(1, 796) = ( 1 x 796 ) / 796
GCD(1, 796) = 796 / 796
GCD(1, 796) = 1
GCD of 940, 141, 98, 796 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 940, 141, 98, 796?
GCD of 940, 141, 98, 796 is 1
2. Where do I get the detailed procedure to find GCD of 940, 141, 98, 796?
You can find a detailed procedure to find GCD of 940, 141, 98, 796 on our page.
3. How to find GCD of 940, 141, 98, 796 on a calculator?
You can find the GCD of 940, 141, 98, 796 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.