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 70, 924, 369, 439 i.e. 1 largest integer that divides all the numbers equally.
GCD of 70, 924, 369, 439 is 1
GCD(70, 924, 369, 439) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 70, 924, 369, 439 is 1
GCD(70, 924, 369, 439) = 1
Given Input numbers are 70, 924, 369, 439
To find the GCD of numbers using factoring list out all the divisors of each number
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 924
List of positive integer divisors of 924 that divides 924 without a remainder.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Divisors of 439
List of positive integer divisors of 439 that divides 439 without a remainder.
1, 439
Greatest Common Divisior
We found the divisors of 70, 924, 369, 439 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 924, 369, 439 is 1.
Therefore, GCD of numbers 70, 924, 369, 439 is 1
Given Input Data is 70, 924, 369, 439
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
Prime Factorization of 369 is 3 x 3 x 41
Prime Factorization of 439 is 439
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(70, 924) = 4620
GCD(70, 924) = ( 70 x 924 ) / 4620
GCD(70, 924) = 64680 / 4620
GCD(70, 924) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 369
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 369) = 5166
GCD(14, 369) = ( 14 x 369 ) / 5166
GCD(14, 369) = 5166 / 5166
GCD(14, 369) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 439
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 439) = 439
GCD(1, 439) = ( 1 x 439 ) / 439
GCD(1, 439) = 439 / 439
GCD(1, 439) = 1
GCD of 70, 924, 369, 439 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 70, 924, 369, 439?
GCD of 70, 924, 369, 439 is 1
2. Where do I get the detailed procedure to find GCD of 70, 924, 369, 439?
You can find a detailed procedure to find GCD of 70, 924, 369, 439 on our page.
3. How to find GCD of 70, 924, 369, 439 on a calculator?
You can find the GCD of 70, 924, 369, 439 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.