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 465, 687, 149, 760 i.e. 1 largest integer that divides all the numbers equally.
GCD of 465, 687, 149, 760 is 1
GCD(465, 687, 149, 760) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 465, 687, 149, 760 is 1
GCD(465, 687, 149, 760) = 1
Given Input numbers are 465, 687, 149, 760
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 465
List of positive integer divisors of 465 that divides 465 without a remainder.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Divisors of 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
Divisors of 760
List of positive integer divisors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Greatest Common Divisior
We found the divisors of 465, 687, 149, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 687, 149, 760 is 1.
Therefore, GCD of numbers 465, 687, 149, 760 is 1
Given Input Data is 465, 687, 149, 760
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 465 is 3 x 5 x 31
Prime Factorization of 687 is 3 x 229
Prime Factorization of 149 is 149
Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19
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(465, 687) = 106485
GCD(465, 687) = ( 465 x 687 ) / 106485
GCD(465, 687) = 319455 / 106485
GCD(465, 687) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 149
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 149) = 447
GCD(3, 149) = ( 3 x 149 ) / 447
GCD(3, 149) = 447 / 447
GCD(3, 149) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 760
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 760) = 760
GCD(1, 760) = ( 1 x 760 ) / 760
GCD(1, 760) = 760 / 760
GCD(1, 760) = 1
GCD of 465, 687, 149, 760 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 465, 687, 149, 760?
GCD of 465, 687, 149, 760 is 1
2. Where do I get the detailed procedure to find GCD of 465, 687, 149, 760?
You can find a detailed procedure to find GCD of 465, 687, 149, 760 on our page.
3. How to find GCD of 465, 687, 149, 760 on a calculator?
You can find the GCD of 465, 687, 149, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.