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, 672, 296, 294 i.e. 1 largest integer that divides all the numbers equally.
GCD of 505, 672, 296, 294 is 1
GCD(505, 672, 296, 294) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 505, 672, 296, 294 is 1
GCD(505, 672, 296, 294) = 1
Given Input numbers are 505, 672, 296, 294
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 672
List of positive integer divisors of 672 that divides 672 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
Divisors of 296
List of positive integer divisors of 296 that divides 296 without a remainder.
1, 2, 4, 8, 37, 74, 148, 296
Divisors of 294
List of positive integer divisors of 294 that divides 294 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Greatest Common Divisior
We found the divisors of 505, 672, 296, 294 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 672, 296, 294 is 1.
Therefore, GCD of numbers 505, 672, 296, 294 is 1
Given Input Data is 505, 672, 296, 294
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 505 is 5 x 101
Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 296 is 2 x 2 x 2 x 37
Prime Factorization of 294 is 2 x 3 x 7 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(505, 672) = 339360
GCD(505, 672) = ( 505 x 672 ) / 339360
GCD(505, 672) = 339360 / 339360
GCD(505, 672) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 296
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 296) = 296
GCD(1, 296) = ( 1 x 296 ) / 296
GCD(1, 296) = 296 / 296
GCD(1, 296) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 294
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 294) = 294
GCD(1, 294) = ( 1 x 294 ) / 294
GCD(1, 294) = 294 / 294
GCD(1, 294) = 1
GCD of 505, 672, 296, 294 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 505, 672, 296, 294?
GCD of 505, 672, 296, 294 is 1
2. Where do I get the detailed procedure to find GCD of 505, 672, 296, 294?
You can find a detailed procedure to find GCD of 505, 672, 296, 294 on our page.
3. How to find GCD of 505, 672, 296, 294 on a calculator?
You can find the GCD of 505, 672, 296, 294 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.