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 705, 351, 69, 890 i.e. 1 largest integer that divides all the numbers equally.
GCD of 705, 351, 69, 890 is 1
GCD(705, 351, 69, 890) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 705, 351, 69, 890 is 1
GCD(705, 351, 69, 890) = 1
Given Input numbers are 705, 351, 69, 890
To find the GCD of numbers using factoring list out all the divisors of each number
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 351
List of positive integer divisors of 351 that divides 351 without a remainder.
1, 3, 9, 13, 27, 39, 117, 351
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 890
List of positive integer divisors of 890 that divides 890 without a remainder.
1, 2, 5, 10, 89, 178, 445, 890
Greatest Common Divisior
We found the divisors of 705, 351, 69, 890 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 351, 69, 890 is 1.
Therefore, GCD of numbers 705, 351, 69, 890 is 1
Given Input Data is 705, 351, 69, 890
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 705 is 3 x 5 x 47
Prime Factorization of 351 is 3 x 3 x 3 x 13
Prime Factorization of 69 is 3 x 23
Prime Factorization of 890 is 2 x 5 x 89
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(705, 351) = 82485
GCD(705, 351) = ( 705 x 351 ) / 82485
GCD(705, 351) = 247455 / 82485
GCD(705, 351) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 69) = 69
GCD(3, 69) = ( 3 x 69 ) / 69
GCD(3, 69) = 207 / 69
GCD(3, 69) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 890
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 890) = 2670
GCD(3, 890) = ( 3 x 890 ) / 2670
GCD(3, 890) = 2670 / 2670
GCD(3, 890) = 1
GCD of 705, 351, 69, 890 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 705, 351, 69, 890?
GCD of 705, 351, 69, 890 is 1
2. Where do I get the detailed procedure to find GCD of 705, 351, 69, 890?
You can find a detailed procedure to find GCD of 705, 351, 69, 890 on our page.
3. How to find GCD of 705, 351, 69, 890 on a calculator?
You can find the GCD of 705, 351, 69, 890 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.