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 352, 982, 940, 314 i.e. 2 largest integer that divides all the numbers equally.
GCD of 352, 982, 940, 314 is 2
GCD(352, 982, 940, 314) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 352, 982, 940, 314 is 2
GCD(352, 982, 940, 314) = 2
Given Input numbers are 352, 982, 940, 314
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 352
List of positive integer divisors of 352 that divides 352 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Divisors of 982
List of positive integer divisors of 982 that divides 982 without a remainder.
1, 2, 491, 982
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 314
List of positive integer divisors of 314 that divides 314 without a remainder.
1, 2, 157, 314
Greatest Common Divisior
We found the divisors of 352, 982, 940, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 982, 940, 314 is 2.
Therefore, GCD of numbers 352, 982, 940, 314 is 2
Given Input Data is 352, 982, 940, 314
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 982 is 2 x 491
Prime Factorization of 940 is 2 x 2 x 5 x 47
Prime Factorization of 314 is 2 x 157
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(352, 982) = 172832
GCD(352, 982) = ( 352 x 982 ) / 172832
GCD(352, 982) = 345664 / 172832
GCD(352, 982) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 940
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 940) = 940
GCD(2, 940) = ( 2 x 940 ) / 940
GCD(2, 940) = 1880 / 940
GCD(2, 940) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 314
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 314) = 314
GCD(2, 314) = ( 2 x 314 ) / 314
GCD(2, 314) = 628 / 314
GCD(2, 314) = 2
GCD of 352, 982, 940, 314 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 352, 982, 940, 314?
GCD of 352, 982, 940, 314 is 2
2. Where do I get the detailed procedure to find GCD of 352, 982, 940, 314?
You can find a detailed procedure to find GCD of 352, 982, 940, 314 on our page.
3. How to find GCD of 352, 982, 940, 314 on a calculator?
You can find the GCD of 352, 982, 940, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.