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, 471, 35, 770 i.e. 1 largest integer that divides all the numbers equally.
GCD of 300, 471, 35, 770 is 1
GCD(300, 471, 35, 770) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 300, 471, 35, 770 is 1
GCD(300, 471, 35, 770) = 1
Given Input numbers are 300, 471, 35, 770
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 471
List of positive integer divisors of 471 that divides 471 without a remainder.
1, 3, 157, 471
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 770
List of positive integer divisors of 770 that divides 770 without a remainder.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Greatest Common Divisior
We found the divisors of 300, 471, 35, 770 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 471, 35, 770 is 1.
Therefore, GCD of numbers 300, 471, 35, 770 is 1
Given Input Data is 300, 471, 35, 770
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 471 is 3 x 157
Prime Factorization of 35 is 5 x 7
Prime Factorization of 770 is 2 x 5 x 7 x 11
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, 471) = 47100
GCD(300, 471) = ( 300 x 471 ) / 47100
GCD(300, 471) = 141300 / 47100
GCD(300, 471) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 35
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 35) = 105
GCD(3, 35) = ( 3 x 35 ) / 105
GCD(3, 35) = 105 / 105
GCD(3, 35) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 770
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 770) = 770
GCD(1, 770) = ( 1 x 770 ) / 770
GCD(1, 770) = 770 / 770
GCD(1, 770) = 1
GCD of 300, 471, 35, 770 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 300, 471, 35, 770?
GCD of 300, 471, 35, 770 is 1
2. Where do I get the detailed procedure to find GCD of 300, 471, 35, 770?
You can find a detailed procedure to find GCD of 300, 471, 35, 770 on our page.
3. How to find GCD of 300, 471, 35, 770 on a calculator?
You can find the GCD of 300, 471, 35, 770 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.