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 775, 380, 62, 224 i.e. 1 largest integer that divides all the numbers equally.
GCD of 775, 380, 62, 224 is 1
GCD(775, 380, 62, 224) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 775, 380, 62, 224 is 1
GCD(775, 380, 62, 224) = 1
Given Input numbers are 775, 380, 62, 224
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 775
List of positive integer divisors of 775 that divides 775 without a remainder.
1, 5, 25, 31, 155, 775
Divisors of 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 62
List of positive integer divisors of 62 that divides 62 without a remainder.
1, 2, 31, 62
Divisors of 224
List of positive integer divisors of 224 that divides 224 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
Greatest Common Divisior
We found the divisors of 775, 380, 62, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 775, 380, 62, 224 is 1.
Therefore, GCD of numbers 775, 380, 62, 224 is 1
Given Input Data is 775, 380, 62, 224
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 775 is 5 x 5 x 31
Prime Factorization of 380 is 2 x 2 x 5 x 19
Prime Factorization of 62 is 2 x 31
Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7
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(775, 380) = 58900
GCD(775, 380) = ( 775 x 380 ) / 58900
GCD(775, 380) = 294500 / 58900
GCD(775, 380) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 62
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 62) = 310
GCD(5, 62) = ( 5 x 62 ) / 310
GCD(5, 62) = 310 / 310
GCD(5, 62) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 224
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 224) = 224
GCD(1, 224) = ( 1 x 224 ) / 224
GCD(1, 224) = 224 / 224
GCD(1, 224) = 1
GCD of 775, 380, 62, 224 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 775, 380, 62, 224?
GCD of 775, 380, 62, 224 is 1
2. Where do I get the detailed procedure to find GCD of 775, 380, 62, 224?
You can find a detailed procedure to find GCD of 775, 380, 62, 224 on our page.
3. How to find GCD of 775, 380, 62, 224 on a calculator?
You can find the GCD of 775, 380, 62, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.