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 781, 940, 980, 104 i.e. 1 largest integer that divides all the numbers equally.
GCD of 781, 940, 980, 104 is 1
GCD(781, 940, 980, 104) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 781, 940, 980, 104 is 1
GCD(781, 940, 980, 104) = 1
Given Input numbers are 781, 940, 980, 104
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 781
List of positive integer divisors of 781 that divides 781 without a remainder.
1, 11, 71, 781
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 980
List of positive integer divisors of 980 that divides 980 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Divisors of 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Greatest Common Divisior
We found the divisors of 781, 940, 980, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 781, 940, 980, 104 is 1.
Therefore, GCD of numbers 781, 940, 980, 104 is 1
Given Input Data is 781, 940, 980, 104
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 781 is 11 x 71
Prime Factorization of 940 is 2 x 2 x 5 x 47
Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7
Prime Factorization of 104 is 2 x 2 x 2 x 13
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(781, 940) = 734140
GCD(781, 940) = ( 781 x 940 ) / 734140
GCD(781, 940) = 734140 / 734140
GCD(781, 940) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 980
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 980) = 980
GCD(1, 980) = ( 1 x 980 ) / 980
GCD(1, 980) = 980 / 980
GCD(1, 980) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 104
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 104) = 104
GCD(1, 104) = ( 1 x 104 ) / 104
GCD(1, 104) = 104 / 104
GCD(1, 104) = 1
GCD of 781, 940, 980, 104 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 781, 940, 980, 104?
GCD of 781, 940, 980, 104 is 1
2. Where do I get the detailed procedure to find GCD of 781, 940, 980, 104?
You can find a detailed procedure to find GCD of 781, 940, 980, 104 on our page.
3. How to find GCD of 781, 940, 980, 104 on a calculator?
You can find the GCD of 781, 940, 980, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.