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 397, 362, 701, 675 i.e. 1 largest integer that divides all the numbers equally.
GCD of 397, 362, 701, 675 is 1
GCD(397, 362, 701, 675) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 397, 362, 701, 675 is 1
GCD(397, 362, 701, 675) = 1
Given Input numbers are 397, 362, 701, 675
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 397
List of positive integer divisors of 397 that divides 397 without a remainder.
1, 397
Divisors of 362
List of positive integer divisors of 362 that divides 362 without a remainder.
1, 2, 181, 362
Divisors of 701
List of positive integer divisors of 701 that divides 701 without a remainder.
1, 701
Divisors of 675
List of positive integer divisors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Greatest Common Divisior
We found the divisors of 397, 362, 701, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 397, 362, 701, 675 is 1.
Therefore, GCD of numbers 397, 362, 701, 675 is 1
Given Input Data is 397, 362, 701, 675
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 397 is 397
Prime Factorization of 362 is 2 x 181
Prime Factorization of 701 is 701
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
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(397, 362) = 143714
GCD(397, 362) = ( 397 x 362 ) / 143714
GCD(397, 362) = 143714 / 143714
GCD(397, 362) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 701
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 701) = 701
GCD(1, 701) = ( 1 x 701 ) / 701
GCD(1, 701) = 701 / 701
GCD(1, 701) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 675
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 675) = 675
GCD(1, 675) = ( 1 x 675 ) / 675
GCD(1, 675) = 675 / 675
GCD(1, 675) = 1
GCD of 397, 362, 701, 675 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 397, 362, 701, 675?
GCD of 397, 362, 701, 675 is 1
2. Where do I get the detailed procedure to find GCD of 397, 362, 701, 675?
You can find a detailed procedure to find GCD of 397, 362, 701, 675 on our page.
3. How to find GCD of 397, 362, 701, 675 on a calculator?
You can find the GCD of 397, 362, 701, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.