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 430, 918, 705, 690 i.e. 1 largest integer that divides all the numbers equally.
GCD of 430, 918, 705, 690 is 1
GCD(430, 918, 705, 690) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 430, 918, 705, 690 is 1
GCD(430, 918, 705, 690) = 1
Given Input numbers are 430, 918, 705, 690
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 430
List of positive integer divisors of 430 that divides 430 without a remainder.
1, 2, 5, 10, 43, 86, 215, 430
Divisors of 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 705
List of positive integer divisors of 705 that divides 705 without a remainder.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 690
List of positive integer divisors of 690 that divides 690 without a remainder.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Greatest Common Divisior
We found the divisors of 430, 918, 705, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 430, 918, 705, 690 is 1.
Therefore, GCD of numbers 430, 918, 705, 690 is 1
Given Input Data is 430, 918, 705, 690
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 430 is 2 x 5 x 43
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
Prime Factorization of 705 is 3 x 5 x 47
Prime Factorization of 690 is 2 x 3 x 5 x 23
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(430, 918) = 197370
GCD(430, 918) = ( 430 x 918 ) / 197370
GCD(430, 918) = 394740 / 197370
GCD(430, 918) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 705
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 705) = 1410
GCD(2, 705) = ( 2 x 705 ) / 1410
GCD(2, 705) = 1410 / 1410
GCD(2, 705) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 690
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 690) = 690
GCD(1, 690) = ( 1 x 690 ) / 690
GCD(1, 690) = 690 / 690
GCD(1, 690) = 1
GCD of 430, 918, 705, 690 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 430, 918, 705, 690?
GCD of 430, 918, 705, 690 is 1
2. Where do I get the detailed procedure to find GCD of 430, 918, 705, 690?
You can find a detailed procedure to find GCD of 430, 918, 705, 690 on our page.
3. How to find GCD of 430, 918, 705, 690 on a calculator?
You can find the GCD of 430, 918, 705, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.