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, 670, 43, 798 i.e. 1 largest integer that divides all the numbers equally.
GCD of 705, 670, 43, 798 is 1
GCD(705, 670, 43, 798) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 705, 670, 43, 798 is 1
GCD(705, 670, 43, 798) = 1
Given Input numbers are 705, 670, 43, 798
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 670
List of positive integer divisors of 670 that divides 670 without a remainder.
1, 2, 5, 10, 67, 134, 335, 670
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
Divisors of 798
List of positive integer divisors of 798 that divides 798 without a remainder.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Greatest Common Divisior
We found the divisors of 705, 670, 43, 798 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 670, 43, 798 is 1.
Therefore, GCD of numbers 705, 670, 43, 798 is 1
Given Input Data is 705, 670, 43, 798
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 670 is 2 x 5 x 67
Prime Factorization of 43 is 43
Prime Factorization of 798 is 2 x 3 x 7 x 19
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, 670) = 94470
GCD(705, 670) = ( 705 x 670 ) / 94470
GCD(705, 670) = 472350 / 94470
GCD(705, 670) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 43
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 43) = 215
GCD(5, 43) = ( 5 x 43 ) / 215
GCD(5, 43) = 215 / 215
GCD(5, 43) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 798
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 798) = 798
GCD(1, 798) = ( 1 x 798 ) / 798
GCD(1, 798) = 798 / 798
GCD(1, 798) = 1
GCD of 705, 670, 43, 798 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 705, 670, 43, 798?
GCD of 705, 670, 43, 798 is 1
2. Where do I get the detailed procedure to find GCD of 705, 670, 43, 798?
You can find a detailed procedure to find GCD of 705, 670, 43, 798 on our page.
3. How to find GCD of 705, 670, 43, 798 on a calculator?
You can find the GCD of 705, 670, 43, 798 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.