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 715, 649, 850 i.e. 1 largest integer that divides all the numbers equally.
GCD of 715, 649, 850 is 1
GCD(715, 649, 850) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 715, 649, 850 is 1
GCD(715, 649, 850) = 1
Given Input numbers are 715, 649, 850
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 715
List of positive integer divisors of 715 that divides 715 without a remainder.
1, 5, 11, 13, 55, 65, 143, 715
Divisors of 649
List of positive integer divisors of 649 that divides 649 without a remainder.
1, 11, 59, 649
Divisors of 850
List of positive integer divisors of 850 that divides 850 without a remainder.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Greatest Common Divisior
We found the divisors of 715, 649, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 715, 649, 850 is 1.
Therefore, GCD of numbers 715, 649, 850 is 1
Given Input Data is 715, 649, 850
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 715 is 5 x 11 x 13
Prime Factorization of 649 is 11 x 59
Prime Factorization of 850 is 2 x 5 x 5 x 17
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(715, 649) = 42185
GCD(715, 649) = ( 715 x 649 ) / 42185
GCD(715, 649) = 464035 / 42185
GCD(715, 649) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 850
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 850) = 9350
GCD(11, 850) = ( 11 x 850 ) / 9350
GCD(11, 850) = 9350 / 9350
GCD(11, 850) = 1
GCD of 715, 649, 850 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 715, 649, 850?
GCD of 715, 649, 850 is 1
2. Where do I get the detailed procedure to find GCD of 715, 649, 850?
You can find a detailed procedure to find GCD of 715, 649, 850 on our page.
3. How to find GCD of 715, 649, 850 on a calculator?
You can find the GCD of 715, 649, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.