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 670, 358, 257 i.e. 1 largest integer that divides all the numbers equally.
GCD of 670, 358, 257 is 1
GCD(670, 358, 257) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 670, 358, 257 is 1
GCD(670, 358, 257) = 1
Given Input numbers are 670, 358, 257
To find the GCD of numbers using factoring list out all the divisors of each number
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 358
List of positive integer divisors of 358 that divides 358 without a remainder.
1, 2, 179, 358
Divisors of 257
List of positive integer divisors of 257 that divides 257 without a remainder.
1, 257
Greatest Common Divisior
We found the divisors of 670, 358, 257 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 670, 358, 257 is 1.
Therefore, GCD of numbers 670, 358, 257 is 1
Given Input Data is 670, 358, 257
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 670 is 2 x 5 x 67
Prime Factorization of 358 is 2 x 179
Prime Factorization of 257 is 257
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(670, 358) = 119930
GCD(670, 358) = ( 670 x 358 ) / 119930
GCD(670, 358) = 239860 / 119930
GCD(670, 358) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 257
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 257) = 514
GCD(2, 257) = ( 2 x 257 ) / 514
GCD(2, 257) = 514 / 514
GCD(2, 257) = 1
GCD of 670, 358, 257 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 670, 358, 257?
GCD of 670, 358, 257 is 1
2. Where do I get the detailed procedure to find GCD of 670, 358, 257?
You can find a detailed procedure to find GCD of 670, 358, 257 on our page.
3. How to find GCD of 670, 358, 257 on a calculator?
You can find the GCD of 670, 358, 257 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.