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 688, 705, 46, 111 i.e. 1 largest integer that divides all the numbers equally.
GCD of 688, 705, 46, 111 is 1
GCD(688, 705, 46, 111) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 688, 705, 46, 111 is 1
GCD(688, 705, 46, 111) = 1
Given Input numbers are 688, 705, 46, 111
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 688
List of positive integer divisors of 688 that divides 688 without a remainder.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
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 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Divisors of 111
List of positive integer divisors of 111 that divides 111 without a remainder.
1, 3, 37, 111
Greatest Common Divisior
We found the divisors of 688, 705, 46, 111 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 705, 46, 111 is 1.
Therefore, GCD of numbers 688, 705, 46, 111 is 1
Given Input Data is 688, 705, 46, 111
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
Prime Factorization of 705 is 3 x 5 x 47
Prime Factorization of 46 is 2 x 23
Prime Factorization of 111 is 3 x 37
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(688, 705) = 485040
GCD(688, 705) = ( 688 x 705 ) / 485040
GCD(688, 705) = 485040 / 485040
GCD(688, 705) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 46
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 46) = 46
GCD(1, 46) = ( 1 x 46 ) / 46
GCD(1, 46) = 46 / 46
GCD(1, 46) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 111
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 111) = 111
GCD(1, 111) = ( 1 x 111 ) / 111
GCD(1, 111) = 111 / 111
GCD(1, 111) = 1
GCD of 688, 705, 46, 111 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 688, 705, 46, 111?
GCD of 688, 705, 46, 111 is 1
2. Where do I get the detailed procedure to find GCD of 688, 705, 46, 111?
You can find a detailed procedure to find GCD of 688, 705, 46, 111 on our page.
3. How to find GCD of 688, 705, 46, 111 on a calculator?
You can find the GCD of 688, 705, 46, 111 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.