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 387, 948, 35, 851 i.e. 1 largest integer that divides all the numbers equally.
GCD of 387, 948, 35, 851 is 1
GCD(387, 948, 35, 851) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 387, 948, 35, 851 is 1
GCD(387, 948, 35, 851) = 1
Given Input numbers are 387, 948, 35, 851
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 387
List of positive integer divisors of 387 that divides 387 without a remainder.
1, 3, 9, 43, 129, 387
Divisors of 948
List of positive integer divisors of 948 that divides 948 without a remainder.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 851
List of positive integer divisors of 851 that divides 851 without a remainder.
1, 23, 37, 851
Greatest Common Divisior
We found the divisors of 387, 948, 35, 851 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 387, 948, 35, 851 is 1.
Therefore, GCD of numbers 387, 948, 35, 851 is 1
Given Input Data is 387, 948, 35, 851
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 387 is 3 x 3 x 43
Prime Factorization of 948 is 2 x 2 x 3 x 79
Prime Factorization of 35 is 5 x 7
Prime Factorization of 851 is 23 x 37
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(387, 948) = 122292
GCD(387, 948) = ( 387 x 948 ) / 122292
GCD(387, 948) = 366876 / 122292
GCD(387, 948) = 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 851
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 851) = 851
GCD(1, 851) = ( 1 x 851 ) / 851
GCD(1, 851) = 851 / 851
GCD(1, 851) = 1
GCD of 387, 948, 35, 851 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 387, 948, 35, 851?
GCD of 387, 948, 35, 851 is 1
2. Where do I get the detailed procedure to find GCD of 387, 948, 35, 851?
You can find a detailed procedure to find GCD of 387, 948, 35, 851 on our page.
3. How to find GCD of 387, 948, 35, 851 on a calculator?
You can find the GCD of 387, 948, 35, 851 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.