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 505, 850, 64, 786 i.e. 1 largest integer that divides all the numbers equally.
GCD of 505, 850, 64, 786 is 1
GCD(505, 850, 64, 786) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 505, 850, 64, 786 is 1
GCD(505, 850, 64, 786) = 1
Given Input numbers are 505, 850, 64, 786
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 505
List of positive integer divisors of 505 that divides 505 without a remainder.
1, 5, 101, 505
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
Divisors of 64
List of positive integer divisors of 64 that divides 64 without a remainder.
1, 2, 4, 8, 16, 32, 64
Divisors of 786
List of positive integer divisors of 786 that divides 786 without a remainder.
1, 2, 3, 6, 131, 262, 393, 786
Greatest Common Divisior
We found the divisors of 505, 850, 64, 786 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 850, 64, 786 is 1.
Therefore, GCD of numbers 505, 850, 64, 786 is 1
Given Input Data is 505, 850, 64, 786
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 505 is 5 x 101
Prime Factorization of 850 is 2 x 5 x 5 x 17
Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 786 is 2 x 3 x 131
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(505, 850) = 85850
GCD(505, 850) = ( 505 x 850 ) / 85850
GCD(505, 850) = 429250 / 85850
GCD(505, 850) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 64
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 64) = 320
GCD(5, 64) = ( 5 x 64 ) / 320
GCD(5, 64) = 320 / 320
GCD(5, 64) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 786
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 786) = 786
GCD(1, 786) = ( 1 x 786 ) / 786
GCD(1, 786) = 786 / 786
GCD(1, 786) = 1
GCD of 505, 850, 64, 786 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 505, 850, 64, 786?
GCD of 505, 850, 64, 786 is 1
2. Where do I get the detailed procedure to find GCD of 505, 850, 64, 786?
You can find a detailed procedure to find GCD of 505, 850, 64, 786 on our page.
3. How to find GCD of 505, 850, 64, 786 on a calculator?
You can find the GCD of 505, 850, 64, 786 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.