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 914, 755, 894, 600 i.e. 1 largest integer that divides all the numbers equally.
GCD of 914, 755, 894, 600 is 1
GCD(914, 755, 894, 600) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 914, 755, 894, 600 is 1
GCD(914, 755, 894, 600) = 1
Given Input numbers are 914, 755, 894, 600
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 914
List of positive integer divisors of 914 that divides 914 without a remainder.
1, 2, 457, 914
Divisors of 755
List of positive integer divisors of 755 that divides 755 without a remainder.
1, 5, 151, 755
Divisors of 894
List of positive integer divisors of 894 that divides 894 without a remainder.
1, 2, 3, 6, 149, 298, 447, 894
Divisors of 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Greatest Common Divisior
We found the divisors of 914, 755, 894, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 914, 755, 894, 600 is 1.
Therefore, GCD of numbers 914, 755, 894, 600 is 1
Given Input Data is 914, 755, 894, 600
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 914 is 2 x 457
Prime Factorization of 755 is 5 x 151
Prime Factorization of 894 is 2 x 3 x 149
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
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(914, 755) = 690070
GCD(914, 755) = ( 914 x 755 ) / 690070
GCD(914, 755) = 690070 / 690070
GCD(914, 755) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 894
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 894) = 894
GCD(1, 894) = ( 1 x 894 ) / 894
GCD(1, 894) = 894 / 894
GCD(1, 894) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 600
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 600) = 600
GCD(1, 600) = ( 1 x 600 ) / 600
GCD(1, 600) = 600 / 600
GCD(1, 600) = 1
GCD of 914, 755, 894, 600 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 914, 755, 894, 600?
GCD of 914, 755, 894, 600 is 1
2. Where do I get the detailed procedure to find GCD of 914, 755, 894, 600?
You can find a detailed procedure to find GCD of 914, 755, 894, 600 on our page.
3. How to find GCD of 914, 755, 894, 600 on a calculator?
You can find the GCD of 914, 755, 894, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.