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 268, 914, 814, 372 i.e. 2 largest integer that divides all the numbers equally.
GCD of 268, 914, 814, 372 is 2
GCD(268, 914, 814, 372) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 268, 914, 814, 372 is 2
GCD(268, 914, 814, 372) = 2
Given Input numbers are 268, 914, 814, 372
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 268
List of positive integer divisors of 268 that divides 268 without a remainder.
1, 2, 4, 67, 134, 268
Divisors of 914
List of positive integer divisors of 914 that divides 914 without a remainder.
1, 2, 457, 914
Divisors of 814
List of positive integer divisors of 814 that divides 814 without a remainder.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 372
List of positive integer divisors of 372 that divides 372 without a remainder.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Greatest Common Divisior
We found the divisors of 268, 914, 814, 372 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 914, 814, 372 is 2.
Therefore, GCD of numbers 268, 914, 814, 372 is 2
Given Input Data is 268, 914, 814, 372
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 268 is 2 x 2 x 67
Prime Factorization of 914 is 2 x 457
Prime Factorization of 814 is 2 x 11 x 37
Prime Factorization of 372 is 2 x 2 x 3 x 31
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(268, 914) = 122476
GCD(268, 914) = ( 268 x 914 ) / 122476
GCD(268, 914) = 244952 / 122476
GCD(268, 914) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 814
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 814) = 814
GCD(2, 814) = ( 2 x 814 ) / 814
GCD(2, 814) = 1628 / 814
GCD(2, 814) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 372
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 372) = 372
GCD(2, 372) = ( 2 x 372 ) / 372
GCD(2, 372) = 744 / 372
GCD(2, 372) = 2
GCD of 268, 914, 814, 372 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 268, 914, 814, 372?
GCD of 268, 914, 814, 372 is 2
2. Where do I get the detailed procedure to find GCD of 268, 914, 814, 372?
You can find a detailed procedure to find GCD of 268, 914, 814, 372 on our page.
3. How to find GCD of 268, 914, 814, 372 on a calculator?
You can find the GCD of 268, 914, 814, 372 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.