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 256, 900, 16, 700 i.e. 4 largest integer that divides all the numbers equally.
GCD of 256, 900, 16, 700 is 4
GCD(256, 900, 16, 700) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 256, 900, 16, 700 is 4
GCD(256, 900, 16, 700) = 4
Given Input numbers are 256, 900, 16, 700
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 256
List of positive integer divisors of 256 that divides 256 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256
Divisors of 900
List of positive integer divisors of 900 that divides 900 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 700
List of positive integer divisors of 700 that divides 700 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Greatest Common Divisior
We found the divisors of 256, 900, 16, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 256, 900, 16, 700 is 4.
Therefore, GCD of numbers 256, 900, 16, 700 is 4
Given Input Data is 256, 900, 16, 700
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
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(256, 900) = 57600
GCD(256, 900) = ( 256 x 900 ) / 57600
GCD(256, 900) = 230400 / 57600
GCD(256, 900) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 16
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 16) = 16
GCD(4, 16) = ( 4 x 16 ) / 16
GCD(4, 16) = 64 / 16
GCD(4, 16) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 700
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 700) = 700
GCD(4, 700) = ( 4 x 700 ) / 700
GCD(4, 700) = 2800 / 700
GCD(4, 700) = 4
GCD of 256, 900, 16, 700 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 256, 900, 16, 700?
GCD of 256, 900, 16, 700 is 4
2. Where do I get the detailed procedure to find GCD of 256, 900, 16, 700?
You can find a detailed procedure to find GCD of 256, 900, 16, 700 on our page.
3. How to find GCD of 256, 900, 16, 700 on a calculator?
You can find the GCD of 256, 900, 16, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.