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, 775, 416, 270 i.e. 1 largest integer that divides all the numbers equally.
GCD of 49, 775, 416, 270 is 1
GCD(49, 775, 416, 270) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 49, 775, 416, 270 is 1
GCD(49, 775, 416, 270) = 1
Given Input numbers are 49, 775, 416, 270
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 775
List of positive integer divisors of 775 that divides 775 without a remainder.
1, 5, 25, 31, 155, 775
Divisors of 416
List of positive integer divisors of 416 that divides 416 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
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
Greatest Common Divisior
We found the divisors of 49, 775, 416, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 775, 416, 270 is 1.
Therefore, GCD of numbers 49, 775, 416, 270 is 1
Given Input Data is 49, 775, 416, 270
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 49 is 7 x 7
Prime Factorization of 775 is 5 x 5 x 31
Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13
Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5
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, 775) = 37975
GCD(49, 775) = ( 49 x 775 ) / 37975
GCD(49, 775) = 37975 / 37975
GCD(49, 775) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 416
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 416) = 416
GCD(1, 416) = ( 1 x 416 ) / 416
GCD(1, 416) = 416 / 416
GCD(1, 416) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 270
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 270) = 270
GCD(1, 270) = ( 1 x 270 ) / 270
GCD(1, 270) = 270 / 270
GCD(1, 270) = 1
GCD of 49, 775, 416, 270 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 49, 775, 416, 270?
GCD of 49, 775, 416, 270 is 1
2. Where do I get the detailed procedure to find GCD of 49, 775, 416, 270?
You can find a detailed procedure to find GCD of 49, 775, 416, 270 on our page.
3. How to find GCD of 49, 775, 416, 270 on a calculator?
You can find the GCD of 49, 775, 416, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.