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 220, 650, 55, 764 i.e. 1 largest integer that divides all the numbers equally.
GCD of 220, 650, 55, 764 is 1
GCD(220, 650, 55, 764) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 220, 650, 55, 764 is 1
GCD(220, 650, 55, 764) = 1
Given Input numbers are 220, 650, 55, 764
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 650
List of positive integer divisors of 650 that divides 650 without a remainder.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
Divisors of 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
Divisors of 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Greatest Common Divisior
We found the divisors of 220, 650, 55, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 650, 55, 764 is 1.
Therefore, GCD of numbers 220, 650, 55, 764 is 1
Given Input Data is 220, 650, 55, 764
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 220 is 2 x 2 x 5 x 11
Prime Factorization of 650 is 2 x 5 x 5 x 13
Prime Factorization of 55 is 5 x 11
Prime Factorization of 764 is 2 x 2 x 191
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(220, 650) = 14300
GCD(220, 650) = ( 220 x 650 ) / 14300
GCD(220, 650) = 143000 / 14300
GCD(220, 650) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 55
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 55) = 110
GCD(10, 55) = ( 10 x 55 ) / 110
GCD(10, 55) = 550 / 110
GCD(10, 55) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 764
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 764) = 3820
GCD(5, 764) = ( 5 x 764 ) / 3820
GCD(5, 764) = 3820 / 3820
GCD(5, 764) = 1
GCD of 220, 650, 55, 764 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 220, 650, 55, 764?
GCD of 220, 650, 55, 764 is 1
2. Where do I get the detailed procedure to find GCD of 220, 650, 55, 764?
You can find a detailed procedure to find GCD of 220, 650, 55, 764 on our page.
3. How to find GCD of 220, 650, 55, 764 on a calculator?
You can find the GCD of 220, 650, 55, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.