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 49, 368, 511, 687 i.e. 1 largest integer that divides all the numbers equally.
GCD of 49, 368, 511, 687 is 1
GCD(49, 368, 511, 687) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 49, 368, 511, 687 is 1
GCD(49, 368, 511, 687) = 1
Given Input numbers are 49, 368, 511, 687
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
Divisors of 368
List of positive integer divisors of 368 that divides 368 without a remainder.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Divisors of 511
List of positive integer divisors of 511 that divides 511 without a remainder.
1, 7, 73, 511
Divisors of 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Greatest Common Divisior
We found the divisors of 49, 368, 511, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 368, 511, 687 is 1.
Therefore, GCD of numbers 49, 368, 511, 687 is 1
Given Input Data is 49, 368, 511, 687
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 49 is 7 x 7
Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23
Prime Factorization of 511 is 7 x 73
Prime Factorization of 687 is 3 x 229
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(49, 368) = 18032
GCD(49, 368) = ( 49 x 368 ) / 18032
GCD(49, 368) = 18032 / 18032
GCD(49, 368) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 511
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 511) = 511
GCD(1, 511) = ( 1 x 511 ) / 511
GCD(1, 511) = 511 / 511
GCD(1, 511) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 687
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 687) = 687
GCD(1, 687) = ( 1 x 687 ) / 687
GCD(1, 687) = 687 / 687
GCD(1, 687) = 1
GCD of 49, 368, 511, 687 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 49, 368, 511, 687?
GCD of 49, 368, 511, 687 is 1
2. Where do I get the detailed procedure to find GCD of 49, 368, 511, 687?
You can find a detailed procedure to find GCD of 49, 368, 511, 687 on our page.
3. How to find GCD of 49, 368, 511, 687 on a calculator?
You can find the GCD of 49, 368, 511, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.