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 653, 254, 600, 850 i.e. 1 largest integer that divides all the numbers equally.
GCD of 653, 254, 600, 850 is 1
GCD(653, 254, 600, 850) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 653, 254, 600, 850 is 1
GCD(653, 254, 600, 850) = 1
Given Input numbers are 653, 254, 600, 850
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 653
List of positive integer divisors of 653 that divides 653 without a remainder.
1, 653
Divisors of 254
List of positive integer divisors of 254 that divides 254 without a remainder.
1, 2, 127, 254
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
Divisors of 850
List of positive integer divisors of 850 that divides 850 without a remainder.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Greatest Common Divisior
We found the divisors of 653, 254, 600, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 653, 254, 600, 850 is 1.
Therefore, GCD of numbers 653, 254, 600, 850 is 1
Given Input Data is 653, 254, 600, 850
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 653 is 653
Prime Factorization of 254 is 2 x 127
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 850 is 2 x 5 x 5 x 17
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(653, 254) = 165862
GCD(653, 254) = ( 653 x 254 ) / 165862
GCD(653, 254) = 165862 / 165862
GCD(653, 254) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 850
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 850) = 850
GCD(1, 850) = ( 1 x 850 ) / 850
GCD(1, 850) = 850 / 850
GCD(1, 850) = 1
GCD of 653, 254, 600, 850 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 653, 254, 600, 850?
GCD of 653, 254, 600, 850 is 1
2. Where do I get the detailed procedure to find GCD of 653, 254, 600, 850?
You can find a detailed procedure to find GCD of 653, 254, 600, 850 on our page.
3. How to find GCD of 653, 254, 600, 850 on a calculator?
You can find the GCD of 653, 254, 600, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.