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 695, 440, 46, 507 i.e. 1 largest integer that divides all the numbers equally.
GCD of 695, 440, 46, 507 is 1
GCD(695, 440, 46, 507) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 695, 440, 46, 507 is 1
GCD(695, 440, 46, 507) = 1
Given Input numbers are 695, 440, 46, 507
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 695
List of positive integer divisors of 695 that divides 695 without a remainder.
1, 5, 139, 695
Divisors of 440
List of positive integer divisors of 440 that divides 440 without a remainder.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Divisors of 507
List of positive integer divisors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Greatest Common Divisior
We found the divisors of 695, 440, 46, 507 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 695, 440, 46, 507 is 1.
Therefore, GCD of numbers 695, 440, 46, 507 is 1
Given Input Data is 695, 440, 46, 507
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 695 is 5 x 139
Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11
Prime Factorization of 46 is 2 x 23
Prime Factorization of 507 is 3 x 13 x 13
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(695, 440) = 61160
GCD(695, 440) = ( 695 x 440 ) / 61160
GCD(695, 440) = 305800 / 61160
GCD(695, 440) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 46
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 46) = 230
GCD(5, 46) = ( 5 x 46 ) / 230
GCD(5, 46) = 230 / 230
GCD(5, 46) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 507
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 507) = 507
GCD(1, 507) = ( 1 x 507 ) / 507
GCD(1, 507) = 507 / 507
GCD(1, 507) = 1
GCD of 695, 440, 46, 507 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 695, 440, 46, 507?
GCD of 695, 440, 46, 507 is 1
2. Where do I get the detailed procedure to find GCD of 695, 440, 46, 507?
You can find a detailed procedure to find GCD of 695, 440, 46, 507 on our page.
3. How to find GCD of 695, 440, 46, 507 on a calculator?
You can find the GCD of 695, 440, 46, 507 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.