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 10, 878, 697, 907 i.e. 1 largest integer that divides all the numbers equally.
GCD of 10, 878, 697, 907 is 1
GCD(10, 878, 697, 907) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 10, 878, 697, 907 is 1
GCD(10, 878, 697, 907) = 1
Given Input numbers are 10, 878, 697, 907
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 878
List of positive integer divisors of 878 that divides 878 without a remainder.
1, 2, 439, 878
Divisors of 697
List of positive integer divisors of 697 that divides 697 without a remainder.
1, 17, 41, 697
Divisors of 907
List of positive integer divisors of 907 that divides 907 without a remainder.
1, 907
Greatest Common Divisior
We found the divisors of 10, 878, 697, 907 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 878, 697, 907 is 1.
Therefore, GCD of numbers 10, 878, 697, 907 is 1
Given Input Data is 10, 878, 697, 907
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 10 is 2 x 5
Prime Factorization of 878 is 2 x 439
Prime Factorization of 697 is 17 x 41
Prime Factorization of 907 is 907
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(10, 878) = 4390
GCD(10, 878) = ( 10 x 878 ) / 4390
GCD(10, 878) = 8780 / 4390
GCD(10, 878) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 697
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 697) = 1394
GCD(2, 697) = ( 2 x 697 ) / 1394
GCD(2, 697) = 1394 / 1394
GCD(2, 697) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 907
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 907) = 907
GCD(1, 907) = ( 1 x 907 ) / 907
GCD(1, 907) = 907 / 907
GCD(1, 907) = 1
GCD of 10, 878, 697, 907 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 10, 878, 697, 907?
GCD of 10, 878, 697, 907 is 1
2. Where do I get the detailed procedure to find GCD of 10, 878, 697, 907?
You can find a detailed procedure to find GCD of 10, 878, 697, 907 on our page.
3. How to find GCD of 10, 878, 697, 907 on a calculator?
You can find the GCD of 10, 878, 697, 907 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.