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, 942, 359, 490 i.e. 1 largest integer that divides all the numbers equally.
GCD of 781, 942, 359, 490 is 1
GCD(781, 942, 359, 490) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 781, 942, 359, 490 is 1
GCD(781, 942, 359, 490) = 1
Given Input numbers are 781, 942, 359, 490
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 942
List of positive integer divisors of 942 that divides 942 without a remainder.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 359
List of positive integer divisors of 359 that divides 359 without a remainder.
1, 359
Divisors of 490
List of positive integer divisors of 490 that divides 490 without a remainder.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Greatest Common Divisior
We found the divisors of 781, 942, 359, 490 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 781, 942, 359, 490 is 1.
Therefore, GCD of numbers 781, 942, 359, 490 is 1
Given Input Data is 781, 942, 359, 490
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 781 is 11 x 71
Prime Factorization of 942 is 2 x 3 x 157
Prime Factorization of 359 is 359
Prime Factorization of 490 is 2 x 5 x 7 x 7
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, 942) = 735702
GCD(781, 942) = ( 781 x 942 ) / 735702
GCD(781, 942) = 735702 / 735702
GCD(781, 942) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 359
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 359) = 359
GCD(1, 359) = ( 1 x 359 ) / 359
GCD(1, 359) = 359 / 359
GCD(1, 359) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 490
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 490) = 490
GCD(1, 490) = ( 1 x 490 ) / 490
GCD(1, 490) = 490 / 490
GCD(1, 490) = 1
GCD of 781, 942, 359, 490 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 781, 942, 359, 490?
GCD of 781, 942, 359, 490 is 1
2. Where do I get the detailed procedure to find GCD of 781, 942, 359, 490?
You can find a detailed procedure to find GCD of 781, 942, 359, 490 on our page.
3. How to find GCD of 781, 942, 359, 490 on a calculator?
You can find the GCD of 781, 942, 359, 490 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.