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 312, 354, 356, 896 i.e. 2 largest integer that divides all the numbers equally.
GCD of 312, 354, 356, 896 is 2
GCD(312, 354, 356, 896) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 312, 354, 356, 896 is 2
GCD(312, 354, 356, 896) = 2
Given Input numbers are 312, 354, 356, 896
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 312
List of positive integer divisors of 312 that divides 312 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 354
List of positive integer divisors of 354 that divides 354 without a remainder.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 356
List of positive integer divisors of 356 that divides 356 without a remainder.
1, 2, 4, 89, 178, 356
Divisors of 896
List of positive integer divisors of 896 that divides 896 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
Greatest Common Divisior
We found the divisors of 312, 354, 356, 896 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 354, 356, 896 is 2.
Therefore, GCD of numbers 312, 354, 356, 896 is 2
Given Input Data is 312, 354, 356, 896
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13
Prime Factorization of 354 is 2 x 3 x 59
Prime Factorization of 356 is 2 x 2 x 89
Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
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(312, 354) = 18408
GCD(312, 354) = ( 312 x 354 ) / 18408
GCD(312, 354) = 110448 / 18408
GCD(312, 354) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 356
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 356) = 1068
GCD(6, 356) = ( 6 x 356 ) / 1068
GCD(6, 356) = 2136 / 1068
GCD(6, 356) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 896
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 896) = 896
GCD(2, 896) = ( 2 x 896 ) / 896
GCD(2, 896) = 1792 / 896
GCD(2, 896) = 2
GCD of 312, 354, 356, 896 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 312, 354, 356, 896?
GCD of 312, 354, 356, 896 is 2
2. Where do I get the detailed procedure to find GCD of 312, 354, 356, 896?
You can find a detailed procedure to find GCD of 312, 354, 356, 896 on our page.
3. How to find GCD of 312, 354, 356, 896 on a calculator?
You can find the GCD of 312, 354, 356, 896 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.