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 630, 310, 776, 695 i.e. 1 largest integer that divides all the numbers equally.
GCD of 630, 310, 776, 695 is 1
GCD(630, 310, 776, 695) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 630, 310, 776, 695 is 1
GCD(630, 310, 776, 695) = 1
Given Input numbers are 630, 310, 776, 695
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 630
List of positive integer divisors of 630 that divides 630 without a remainder.
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
Divisors of 310
List of positive integer divisors of 310 that divides 310 without a remainder.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 776
List of positive integer divisors of 776 that divides 776 without a remainder.
1, 2, 4, 8, 97, 194, 388, 776
Divisors of 695
List of positive integer divisors of 695 that divides 695 without a remainder.
1, 5, 139, 695
Greatest Common Divisior
We found the divisors of 630, 310, 776, 695 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 630, 310, 776, 695 is 1.
Therefore, GCD of numbers 630, 310, 776, 695 is 1
Given Input Data is 630, 310, 776, 695
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7
Prime Factorization of 310 is 2 x 5 x 31
Prime Factorization of 776 is 2 x 2 x 2 x 97
Prime Factorization of 695 is 5 x 139
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(630, 310) = 19530
GCD(630, 310) = ( 630 x 310 ) / 19530
GCD(630, 310) = 195300 / 19530
GCD(630, 310) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 776
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 776) = 3880
GCD(10, 776) = ( 10 x 776 ) / 3880
GCD(10, 776) = 7760 / 3880
GCD(10, 776) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 695
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 695) = 1390
GCD(2, 695) = ( 2 x 695 ) / 1390
GCD(2, 695) = 1390 / 1390
GCD(2, 695) = 1
GCD of 630, 310, 776, 695 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 630, 310, 776, 695?
GCD of 630, 310, 776, 695 is 1
2. Where do I get the detailed procedure to find GCD of 630, 310, 776, 695?
You can find a detailed procedure to find GCD of 630, 310, 776, 695 on our page.
3. How to find GCD of 630, 310, 776, 695 on a calculator?
You can find the GCD of 630, 310, 776, 695 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.