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 202, 420, 75, 863 i.e. 1 largest integer that divides all the numbers equally.
GCD of 202, 420, 75, 863 is 1
GCD(202, 420, 75, 863) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 202, 420, 75, 863 is 1
GCD(202, 420, 75, 863) = 1
Given Input numbers are 202, 420, 75, 863
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 202
List of positive integer divisors of 202 that divides 202 without a remainder.
1, 2, 101, 202
Divisors of 420
List of positive integer divisors of 420 that divides 420 without a remainder.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 863
List of positive integer divisors of 863 that divides 863 without a remainder.
1, 863
Greatest Common Divisior
We found the divisors of 202, 420, 75, 863 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 202, 420, 75, 863 is 1.
Therefore, GCD of numbers 202, 420, 75, 863 is 1
Given Input Data is 202, 420, 75, 863
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 202 is 2 x 101
Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 863 is 863
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(202, 420) = 42420
GCD(202, 420) = ( 202 x 420 ) / 42420
GCD(202, 420) = 84840 / 42420
GCD(202, 420) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 75) = 150
GCD(2, 75) = ( 2 x 75 ) / 150
GCD(2, 75) = 150 / 150
GCD(2, 75) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 863
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 863) = 863
GCD(1, 863) = ( 1 x 863 ) / 863
GCD(1, 863) = 863 / 863
GCD(1, 863) = 1
GCD of 202, 420, 75, 863 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 202, 420, 75, 863?
GCD of 202, 420, 75, 863 is 1
2. Where do I get the detailed procedure to find GCD of 202, 420, 75, 863?
You can find a detailed procedure to find GCD of 202, 420, 75, 863 on our page.
3. How to find GCD of 202, 420, 75, 863 on a calculator?
You can find the GCD of 202, 420, 75, 863 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.