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 260, 172, 99, 224 i.e. 1 largest integer that divides all the numbers equally.
GCD of 260, 172, 99, 224 is 1
GCD(260, 172, 99, 224) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 260, 172, 99, 224 is 1
GCD(260, 172, 99, 224) = 1
Given Input numbers are 260, 172, 99, 224
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 260
List of positive integer divisors of 260 that divides 260 without a remainder.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
Divisors of 172
List of positive integer divisors of 172 that divides 172 without a remainder.
1, 2, 4, 43, 86, 172
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
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 260, 172, 99, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 172, 99, 224 is 1.
Therefore, GCD of numbers 260, 172, 99, 224 is 1
Given Input Data is 260, 172, 99, 224
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 260 is 2 x 2 x 5 x 13
Prime Factorization of 172 is 2 x 2 x 43
Prime Factorization of 99 is 3 x 3 x 11
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(260, 172) = 11180
GCD(260, 172) = ( 260 x 172 ) / 11180
GCD(260, 172) = 44720 / 11180
GCD(260, 172) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 99) = 396
GCD(4, 99) = ( 4 x 99 ) / 396
GCD(4, 99) = 396 / 396
GCD(4, 99) = 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 260, 172, 99, 224 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 260, 172, 99, 224?
GCD of 260, 172, 99, 224 is 1
2. Where do I get the detailed procedure to find GCD of 260, 172, 99, 224?
You can find a detailed procedure to find GCD of 260, 172, 99, 224 on our page.
3. How to find GCD of 260, 172, 99, 224 on a calculator?
You can find the GCD of 260, 172, 99, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.