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 857, 670, 243, 434 i.e. 1 largest integer that divides all the numbers equally.
GCD of 857, 670, 243, 434 is 1
GCD(857, 670, 243, 434) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 857, 670, 243, 434 is 1
GCD(857, 670, 243, 434) = 1
Given Input numbers are 857, 670, 243, 434
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 857
List of positive integer divisors of 857 that divides 857 without a remainder.
1, 857
Divisors of 670
List of positive integer divisors of 670 that divides 670 without a remainder.
1, 2, 5, 10, 67, 134, 335, 670
Divisors of 243
List of positive integer divisors of 243 that divides 243 without a remainder.
1, 3, 9, 27, 81, 243
Divisors of 434
List of positive integer divisors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
Greatest Common Divisior
We found the divisors of 857, 670, 243, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 857, 670, 243, 434 is 1.
Therefore, GCD of numbers 857, 670, 243, 434 is 1
Given Input Data is 857, 670, 243, 434
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 857 is 857
Prime Factorization of 670 is 2 x 5 x 67
Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3
Prime Factorization of 434 is 2 x 7 x 31
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(857, 670) = 574190
GCD(857, 670) = ( 857 x 670 ) / 574190
GCD(857, 670) = 574190 / 574190
GCD(857, 670) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 243
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 243) = 243
GCD(1, 243) = ( 1 x 243 ) / 243
GCD(1, 243) = 243 / 243
GCD(1, 243) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 434
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 434) = 434
GCD(1, 434) = ( 1 x 434 ) / 434
GCD(1, 434) = 434 / 434
GCD(1, 434) = 1
GCD of 857, 670, 243, 434 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 857, 670, 243, 434?
GCD of 857, 670, 243, 434 is 1
2. Where do I get the detailed procedure to find GCD of 857, 670, 243, 434?
You can find a detailed procedure to find GCD of 857, 670, 243, 434 on our page.
3. How to find GCD of 857, 670, 243, 434 on a calculator?
You can find the GCD of 857, 670, 243, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.