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 128, 535, 316, 705 i.e. 1 largest integer that divides all the numbers equally.
GCD of 128, 535, 316, 705 is 1
GCD(128, 535, 316, 705) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 128, 535, 316, 705 is 1
GCD(128, 535, 316, 705) = 1
Given Input numbers are 128, 535, 316, 705
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 128
List of positive integer divisors of 128 that divides 128 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128
Divisors of 535
List of positive integer divisors of 535 that divides 535 without a remainder.
1, 5, 107, 535
Divisors of 316
List of positive integer divisors of 316 that divides 316 without a remainder.
1, 2, 4, 79, 158, 316
Divisors of 705
List of positive integer divisors of 705 that divides 705 without a remainder.
1, 3, 5, 15, 47, 141, 235, 705
Greatest Common Divisior
We found the divisors of 128, 535, 316, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 128, 535, 316, 705 is 1.
Therefore, GCD of numbers 128, 535, 316, 705 is 1
Given Input Data is 128, 535, 316, 705
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 535 is 5 x 107
Prime Factorization of 316 is 2 x 2 x 79
Prime Factorization of 705 is 3 x 5 x 47
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(128, 535) = 68480
GCD(128, 535) = ( 128 x 535 ) / 68480
GCD(128, 535) = 68480 / 68480
GCD(128, 535) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 316
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 316) = 316
GCD(1, 316) = ( 1 x 316 ) / 316
GCD(1, 316) = 316 / 316
GCD(1, 316) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 705
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 705) = 705
GCD(1, 705) = ( 1 x 705 ) / 705
GCD(1, 705) = 705 / 705
GCD(1, 705) = 1
GCD of 128, 535, 316, 705 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 128, 535, 316, 705?
GCD of 128, 535, 316, 705 is 1
2. Where do I get the detailed procedure to find GCD of 128, 535, 316, 705?
You can find a detailed procedure to find GCD of 128, 535, 316, 705 on our page.
3. How to find GCD of 128, 535, 316, 705 on a calculator?
You can find the GCD of 128, 535, 316, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.