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 412, 170, 704, 525 i.e. 1 largest integer that divides all the numbers equally.
GCD of 412, 170, 704, 525 is 1
GCD(412, 170, 704, 525) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 412, 170, 704, 525 is 1
GCD(412, 170, 704, 525) = 1
Given Input numbers are 412, 170, 704, 525
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 412
List of positive integer divisors of 412 that divides 412 without a remainder.
1, 2, 4, 103, 206, 412
Divisors of 170
List of positive integer divisors of 170 that divides 170 without a remainder.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 704
List of positive integer divisors of 704 that divides 704 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 525
List of positive integer divisors of 525 that divides 525 without a remainder.
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
Greatest Common Divisior
We found the divisors of 412, 170, 704, 525 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 412, 170, 704, 525 is 1.
Therefore, GCD of numbers 412, 170, 704, 525 is 1
Given Input Data is 412, 170, 704, 525
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 412 is 2 x 2 x 103
Prime Factorization of 170 is 2 x 5 x 17
Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 525 is 3 x 5 x 5 x 7
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(412, 170) = 35020
GCD(412, 170) = ( 412 x 170 ) / 35020
GCD(412, 170) = 70040 / 35020
GCD(412, 170) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 704
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 704) = 704
GCD(2, 704) = ( 2 x 704 ) / 704
GCD(2, 704) = 1408 / 704
GCD(2, 704) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 525
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 525) = 1050
GCD(2, 525) = ( 2 x 525 ) / 1050
GCD(2, 525) = 1050 / 1050
GCD(2, 525) = 1
GCD of 412, 170, 704, 525 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 412, 170, 704, 525?
GCD of 412, 170, 704, 525 is 1
2. Where do I get the detailed procedure to find GCD of 412, 170, 704, 525?
You can find a detailed procedure to find GCD of 412, 170, 704, 525 on our page.
3. How to find GCD of 412, 170, 704, 525 on a calculator?
You can find the GCD of 412, 170, 704, 525 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.