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 356, 940, 79, 319 i.e. 1 largest integer that divides all the numbers equally.
GCD of 356, 940, 79, 319 is 1
GCD(356, 940, 79, 319) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 356, 940, 79, 319 is 1
GCD(356, 940, 79, 319) = 1
Given Input numbers are 356, 940, 79, 319
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 356
List of positive integer divisors of 356 that divides 356 without a remainder.
1, 2, 4, 89, 178, 356
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 79
List of positive integer divisors of 79 that divides 79 without a remainder.
1, 79
Divisors of 319
List of positive integer divisors of 319 that divides 319 without a remainder.
1, 11, 29, 319
Greatest Common Divisior
We found the divisors of 356, 940, 79, 319 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 940, 79, 319 is 1.
Therefore, GCD of numbers 356, 940, 79, 319 is 1
Given Input Data is 356, 940, 79, 319
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 356 is 2 x 2 x 89
Prime Factorization of 940 is 2 x 2 x 5 x 47
Prime Factorization of 79 is 79
Prime Factorization of 319 is 11 x 29
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(356, 940) = 83660
GCD(356, 940) = ( 356 x 940 ) / 83660
GCD(356, 940) = 334640 / 83660
GCD(356, 940) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 79
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 79) = 316
GCD(4, 79) = ( 4 x 79 ) / 316
GCD(4, 79) = 316 / 316
GCD(4, 79) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 319
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 319) = 319
GCD(1, 319) = ( 1 x 319 ) / 319
GCD(1, 319) = 319 / 319
GCD(1, 319) = 1
GCD of 356, 940, 79, 319 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 356, 940, 79, 319?
GCD of 356, 940, 79, 319 is 1
2. Where do I get the detailed procedure to find GCD of 356, 940, 79, 319?
You can find a detailed procedure to find GCD of 356, 940, 79, 319 on our page.
3. How to find GCD of 356, 940, 79, 319 on a calculator?
You can find the GCD of 356, 940, 79, 319 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.