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 853, 507, 149, 412 i.e. 1 largest integer that divides all the numbers equally.
GCD of 853, 507, 149, 412 is 1
GCD(853, 507, 149, 412) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 853, 507, 149, 412 is 1
GCD(853, 507, 149, 412) = 1
Given Input numbers are 853, 507, 149, 412
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 853
List of positive integer divisors of 853 that divides 853 without a remainder.
1, 853
Divisors of 507
List of positive integer divisors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Divisors of 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
Divisors of 412
List of positive integer divisors of 412 that divides 412 without a remainder.
1, 2, 4, 103, 206, 412
Greatest Common Divisior
We found the divisors of 853, 507, 149, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 853, 507, 149, 412 is 1.
Therefore, GCD of numbers 853, 507, 149, 412 is 1
Given Input Data is 853, 507, 149, 412
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 853 is 853
Prime Factorization of 507 is 3 x 13 x 13
Prime Factorization of 149 is 149
Prime Factorization of 412 is 2 x 2 x 103
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(853, 507) = 432471
GCD(853, 507) = ( 853 x 507 ) / 432471
GCD(853, 507) = 432471 / 432471
GCD(853, 507) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 149
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 149) = 149
GCD(1, 149) = ( 1 x 149 ) / 149
GCD(1, 149) = 149 / 149
GCD(1, 149) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 412
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 412) = 412
GCD(1, 412) = ( 1 x 412 ) / 412
GCD(1, 412) = 412 / 412
GCD(1, 412) = 1
GCD of 853, 507, 149, 412 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 853, 507, 149, 412?
GCD of 853, 507, 149, 412 is 1
2. Where do I get the detailed procedure to find GCD of 853, 507, 149, 412?
You can find a detailed procedure to find GCD of 853, 507, 149, 412 on our page.
3. How to find GCD of 853, 507, 149, 412 on a calculator?
You can find the GCD of 853, 507, 149, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.