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 507, 834, 419, 267 i.e. 1 largest integer that divides all the numbers equally.
GCD of 507, 834, 419, 267 is 1
GCD(507, 834, 419, 267) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 507, 834, 419, 267 is 1
GCD(507, 834, 419, 267) = 1
Given Input numbers are 507, 834, 419, 267
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 507
List of positive integer divisors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Divisors of 834
List of positive integer divisors of 834 that divides 834 without a remainder.
1, 2, 3, 6, 139, 278, 417, 834
Divisors of 419
List of positive integer divisors of 419 that divides 419 without a remainder.
1, 419
Divisors of 267
List of positive integer divisors of 267 that divides 267 without a remainder.
1, 3, 89, 267
Greatest Common Divisior
We found the divisors of 507, 834, 419, 267 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 507, 834, 419, 267 is 1.
Therefore, GCD of numbers 507, 834, 419, 267 is 1
Given Input Data is 507, 834, 419, 267
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 507 is 3 x 13 x 13
Prime Factorization of 834 is 2 x 3 x 139
Prime Factorization of 419 is 419
Prime Factorization of 267 is 3 x 89
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(507, 834) = 140946
GCD(507, 834) = ( 507 x 834 ) / 140946
GCD(507, 834) = 422838 / 140946
GCD(507, 834) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 419
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 419) = 1257
GCD(3, 419) = ( 3 x 419 ) / 1257
GCD(3, 419) = 1257 / 1257
GCD(3, 419) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 267
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 267) = 267
GCD(1, 267) = ( 1 x 267 ) / 267
GCD(1, 267) = 267 / 267
GCD(1, 267) = 1
GCD of 507, 834, 419, 267 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 507, 834, 419, 267?
GCD of 507, 834, 419, 267 is 1
2. Where do I get the detailed procedure to find GCD of 507, 834, 419, 267?
You can find a detailed procedure to find GCD of 507, 834, 419, 267 on our page.
3. How to find GCD of 507, 834, 419, 267 on a calculator?
You can find the GCD of 507, 834, 419, 267 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.