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 755, 875, 21, 930 i.e. 1 largest integer that divides all the numbers equally.
GCD of 755, 875, 21, 930 is 1
GCD(755, 875, 21, 930) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 755, 875, 21, 930 is 1
GCD(755, 875, 21, 930) = 1
Given Input numbers are 755, 875, 21, 930
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 755
List of positive integer divisors of 755 that divides 755 without a remainder.
1, 5, 151, 755
Divisors of 875
List of positive integer divisors of 875 that divides 875 without a remainder.
1, 5, 7, 25, 35, 125, 175, 875
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
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
Greatest Common Divisior
We found the divisors of 755, 875, 21, 930 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 755, 875, 21, 930 is 1.
Therefore, GCD of numbers 755, 875, 21, 930 is 1
Given Input Data is 755, 875, 21, 930
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 755 is 5 x 151
Prime Factorization of 875 is 5 x 5 x 5 x 7
Prime Factorization of 21 is 3 x 7
Prime Factorization of 930 is 2 x 3 x 5 x 31
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(755, 875) = 132125
GCD(755, 875) = ( 755 x 875 ) / 132125
GCD(755, 875) = 660625 / 132125
GCD(755, 875) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 21) = 105
GCD(5, 21) = ( 5 x 21 ) / 105
GCD(5, 21) = 105 / 105
GCD(5, 21) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 930
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 930) = 930
GCD(1, 930) = ( 1 x 930 ) / 930
GCD(1, 930) = 930 / 930
GCD(1, 930) = 1
GCD of 755, 875, 21, 930 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 755, 875, 21, 930?
GCD of 755, 875, 21, 930 is 1
2. Where do I get the detailed procedure to find GCD of 755, 875, 21, 930?
You can find a detailed procedure to find GCD of 755, 875, 21, 930 on our page.
3. How to find GCD of 755, 875, 21, 930 on a calculator?
You can find the GCD of 755, 875, 21, 930 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.