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 869, 840, 152, 385 i.e. 1 largest integer that divides all the numbers equally.
GCD of 869, 840, 152, 385 is 1
GCD(869, 840, 152, 385) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 869, 840, 152, 385 is 1
GCD(869, 840, 152, 385) = 1
Given Input numbers are 869, 840, 152, 385
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 869
List of positive integer divisors of 869 that divides 869 without a remainder.
1, 11, 79, 869
Divisors of 840
List of positive integer divisors of 840 that divides 840 without a remainder.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Divisors of 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Greatest Common Divisior
We found the divisors of 869, 840, 152, 385 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 869, 840, 152, 385 is 1.
Therefore, GCD of numbers 869, 840, 152, 385 is 1
Given Input Data is 869, 840, 152, 385
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 869 is 11 x 79
Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7
Prime Factorization of 152 is 2 x 2 x 2 x 19
Prime Factorization of 385 is 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(869, 840) = 729960
GCD(869, 840) = ( 869 x 840 ) / 729960
GCD(869, 840) = 729960 / 729960
GCD(869, 840) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 152
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 152) = 152
GCD(1, 152) = ( 1 x 152 ) / 152
GCD(1, 152) = 152 / 152
GCD(1, 152) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 385
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 385) = 385
GCD(1, 385) = ( 1 x 385 ) / 385
GCD(1, 385) = 385 / 385
GCD(1, 385) = 1
GCD of 869, 840, 152, 385 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 869, 840, 152, 385?
GCD of 869, 840, 152, 385 is 1
2. Where do I get the detailed procedure to find GCD of 869, 840, 152, 385?
You can find a detailed procedure to find GCD of 869, 840, 152, 385 on our page.
3. How to find GCD of 869, 840, 152, 385 on a calculator?
You can find the GCD of 869, 840, 152, 385 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.