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, 270, 737, 704 i.e. 1 largest integer that divides all the numbers equally.
GCD of 220, 270, 737, 704 is 1
GCD(220, 270, 737, 704) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 220, 270, 737, 704 is 1
GCD(220, 270, 737, 704) = 1
Given Input numbers are 220, 270, 737, 704
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 270
List of positive integer divisors of 270 that divides 270 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 737
List of positive integer divisors of 737 that divides 737 without a remainder.
1, 11, 67, 737
Divisors of 704
List of positive integer divisors of 704 that divides 704 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Greatest Common Divisior
We found the divisors of 220, 270, 737, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 270, 737, 704 is 1.
Therefore, GCD of numbers 220, 270, 737, 704 is 1
Given Input Data is 220, 270, 737, 704
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 270 is 2 x 3 x 3 x 3 x 5
Prime Factorization of 737 is 11 x 67
Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11
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, 270) = 5940
GCD(220, 270) = ( 220 x 270 ) / 5940
GCD(220, 270) = 59400 / 5940
GCD(220, 270) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 737
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 737) = 7370
GCD(10, 737) = ( 10 x 737 ) / 7370
GCD(10, 737) = 7370 / 7370
GCD(10, 737) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 704
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 704) = 704
GCD(1, 704) = ( 1 x 704 ) / 704
GCD(1, 704) = 704 / 704
GCD(1, 704) = 1
GCD of 220, 270, 737, 704 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 220, 270, 737, 704?
GCD of 220, 270, 737, 704 is 1
2. Where do I get the detailed procedure to find GCD of 220, 270, 737, 704?
You can find a detailed procedure to find GCD of 220, 270, 737, 704 on our page.
3. How to find GCD of 220, 270, 737, 704 on a calculator?
You can find the GCD of 220, 270, 737, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.