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 535, 930, 68, 172 i.e. 1 largest integer that divides all the numbers equally.
GCD of 535, 930, 68, 172 is 1
GCD(535, 930, 68, 172) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 535, 930, 68, 172 is 1
GCD(535, 930, 68, 172) = 1
Given Input numbers are 535, 930, 68, 172
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 535
List of positive integer divisors of 535 that divides 535 without a remainder.
1, 5, 107, 535
Divisors of 930
List of positive integer divisors of 930 that divides 930 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 172
List of positive integer divisors of 172 that divides 172 without a remainder.
1, 2, 4, 43, 86, 172
Greatest Common Divisior
We found the divisors of 535, 930, 68, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 535, 930, 68, 172 is 1.
Therefore, GCD of numbers 535, 930, 68, 172 is 1
Given Input Data is 535, 930, 68, 172
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 535 is 5 x 107
Prime Factorization of 930 is 2 x 3 x 5 x 31
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 172 is 2 x 2 x 43
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(535, 930) = 99510
GCD(535, 930) = ( 535 x 930 ) / 99510
GCD(535, 930) = 497550 / 99510
GCD(535, 930) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 68
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 68) = 340
GCD(5, 68) = ( 5 x 68 ) / 340
GCD(5, 68) = 340 / 340
GCD(5, 68) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 172
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 172) = 172
GCD(1, 172) = ( 1 x 172 ) / 172
GCD(1, 172) = 172 / 172
GCD(1, 172) = 1
GCD of 535, 930, 68, 172 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 535, 930, 68, 172?
GCD of 535, 930, 68, 172 is 1
2. Where do I get the detailed procedure to find GCD of 535, 930, 68, 172?
You can find a detailed procedure to find GCD of 535, 930, 68, 172 on our page.
3. How to find GCD of 535, 930, 68, 172 on a calculator?
You can find the GCD of 535, 930, 68, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.