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 300, 764, 70, 195 i.e. 1 largest integer that divides all the numbers equally.
GCD of 300, 764, 70, 195 is 1
GCD(300, 764, 70, 195) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 300, 764, 70, 195 is 1
GCD(300, 764, 70, 195) = 1
Given Input numbers are 300, 764, 70, 195
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 300
List of positive integer divisors of 300 that divides 300 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
Divisors of 195
List of positive integer divisors of 195 that divides 195 without a remainder.
1, 3, 5, 13, 15, 39, 65, 195
Greatest Common Divisior
We found the divisors of 300, 764, 70, 195 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 764, 70, 195 is 1.
Therefore, GCD of numbers 300, 764, 70, 195 is 1
Given Input Data is 300, 764, 70, 195
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5
Prime Factorization of 764 is 2 x 2 x 191
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 195 is 3 x 5 x 13
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(300, 764) = 57300
GCD(300, 764) = ( 300 x 764 ) / 57300
GCD(300, 764) = 229200 / 57300
GCD(300, 764) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 70
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 70) = 140
GCD(4, 70) = ( 4 x 70 ) / 140
GCD(4, 70) = 280 / 140
GCD(4, 70) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 195
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 195) = 390
GCD(2, 195) = ( 2 x 195 ) / 390
GCD(2, 195) = 390 / 390
GCD(2, 195) = 1
GCD of 300, 764, 70, 195 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 300, 764, 70, 195?
GCD of 300, 764, 70, 195 is 1
2. Where do I get the detailed procedure to find GCD of 300, 764, 70, 195?
You can find a detailed procedure to find GCD of 300, 764, 70, 195 on our page.
3. How to find GCD of 300, 764, 70, 195 on a calculator?
You can find the GCD of 300, 764, 70, 195 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.