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 531, 784, 70, 410 i.e. 1 largest integer that divides all the numbers equally.
GCD of 531, 784, 70, 410 is 1
GCD(531, 784, 70, 410) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 531, 784, 70, 410 is 1
GCD(531, 784, 70, 410) = 1
Given Input numbers are 531, 784, 70, 410
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 531
List of positive integer divisors of 531 that divides 531 without a remainder.
1, 3, 9, 59, 177, 531
Divisors of 784
List of positive integer divisors of 784 that divides 784 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
Divisors of 410
List of positive integer divisors of 410 that divides 410 without a remainder.
1, 2, 5, 10, 41, 82, 205, 410
Greatest Common Divisior
We found the divisors of 531, 784, 70, 410 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 531, 784, 70, 410 is 1.
Therefore, GCD of numbers 531, 784, 70, 410 is 1
Given Input Data is 531, 784, 70, 410
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 531 is 3 x 3 x 59
Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 410 is 2 x 5 x 41
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(531, 784) = 416304
GCD(531, 784) = ( 531 x 784 ) / 416304
GCD(531, 784) = 416304 / 416304
GCD(531, 784) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 70
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 70) = 70
GCD(1, 70) = ( 1 x 70 ) / 70
GCD(1, 70) = 70 / 70
GCD(1, 70) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 410
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 410) = 410
GCD(1, 410) = ( 1 x 410 ) / 410
GCD(1, 410) = 410 / 410
GCD(1, 410) = 1
GCD of 531, 784, 70, 410 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 531, 784, 70, 410?
GCD of 531, 784, 70, 410 is 1
2. Where do I get the detailed procedure to find GCD of 531, 784, 70, 410?
You can find a detailed procedure to find GCD of 531, 784, 70, 410 on our page.
3. How to find GCD of 531, 784, 70, 410 on a calculator?
You can find the GCD of 531, 784, 70, 410 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.