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 349, 410, 700, 385 i.e. 1 largest integer that divides all the numbers equally.
GCD of 349, 410, 700, 385 is 1
GCD(349, 410, 700, 385) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 349, 410, 700, 385 is 1
GCD(349, 410, 700, 385) = 1
Given Input numbers are 349, 410, 700, 385
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 349
List of positive integer divisors of 349 that divides 349 without a remainder.
1, 349
Divisors of 410
List of positive integer divisors of 410 that divides 410 without a remainder.
1, 2, 5, 10, 41, 82, 205, 410
Divisors of 700
List of positive integer divisors of 700 that divides 700 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Greatest Common Divisior
We found the divisors of 349, 410, 700, 385 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 410, 700, 385 is 1.
Therefore, GCD of numbers 349, 410, 700, 385 is 1
Given Input Data is 349, 410, 700, 385
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 349 is 349
Prime Factorization of 410 is 2 x 5 x 41
Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7
Prime Factorization of 385 is 5 x 7 x 11
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(349, 410) = 143090
GCD(349, 410) = ( 349 x 410 ) / 143090
GCD(349, 410) = 143090 / 143090
GCD(349, 410) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 700
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 700) = 700
GCD(1, 700) = ( 1 x 700 ) / 700
GCD(1, 700) = 700 / 700
GCD(1, 700) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 385
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 385) = 385
GCD(1, 385) = ( 1 x 385 ) / 385
GCD(1, 385) = 385 / 385
GCD(1, 385) = 1
GCD of 349, 410, 700, 385 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 349, 410, 700, 385?
GCD of 349, 410, 700, 385 is 1
2. Where do I get the detailed procedure to find GCD of 349, 410, 700, 385?
You can find a detailed procedure to find GCD of 349, 410, 700, 385 on our page.
3. How to find GCD of 349, 410, 700, 385 on a calculator?
You can find the GCD of 349, 410, 700, 385 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.