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 867, 435, 95, 690 i.e. 1 largest integer that divides all the numbers equally.
GCD of 867, 435, 95, 690 is 1
GCD(867, 435, 95, 690) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 867, 435, 95, 690 is 1
GCD(867, 435, 95, 690) = 1
Given Input numbers are 867, 435, 95, 690
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 867
List of positive integer divisors of 867 that divides 867 without a remainder.
1, 3, 17, 51, 289, 867
Divisors of 435
List of positive integer divisors of 435 that divides 435 without a remainder.
1, 3, 5, 15, 29, 87, 145, 435
Divisors of 95
List of positive integer divisors of 95 that divides 95 without a remainder.
1, 5, 19, 95
Divisors of 690
List of positive integer divisors of 690 that divides 690 without a remainder.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Greatest Common Divisior
We found the divisors of 867, 435, 95, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 867, 435, 95, 690 is 1.
Therefore, GCD of numbers 867, 435, 95, 690 is 1
Given Input Data is 867, 435, 95, 690
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 867 is 3 x 17 x 17
Prime Factorization of 435 is 3 x 5 x 29
Prime Factorization of 95 is 5 x 19
Prime Factorization of 690 is 2 x 3 x 5 x 23
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(867, 435) = 125715
GCD(867, 435) = ( 867 x 435 ) / 125715
GCD(867, 435) = 377145 / 125715
GCD(867, 435) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 95
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 95) = 285
GCD(3, 95) = ( 3 x 95 ) / 285
GCD(3, 95) = 285 / 285
GCD(3, 95) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 690
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 690) = 690
GCD(1, 690) = ( 1 x 690 ) / 690
GCD(1, 690) = 690 / 690
GCD(1, 690) = 1
GCD of 867, 435, 95, 690 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 867, 435, 95, 690?
GCD of 867, 435, 95, 690 is 1
2. Where do I get the detailed procedure to find GCD of 867, 435, 95, 690?
You can find a detailed procedure to find GCD of 867, 435, 95, 690 on our page.
3. How to find GCD of 867, 435, 95, 690 on a calculator?
You can find the GCD of 867, 435, 95, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.