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 696, 880, 99, 272 i.e. 1 largest integer that divides all the numbers equally.
GCD of 696, 880, 99, 272 is 1
GCD(696, 880, 99, 272) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 696, 880, 99, 272 is 1
GCD(696, 880, 99, 272) = 1
Given Input numbers are 696, 880, 99, 272
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 696
List of positive integer divisors of 696 that divides 696 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 880
List of positive integer divisors of 880 that divides 880 without a remainder.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 272
List of positive integer divisors of 272 that divides 272 without a remainder.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Greatest Common Divisior
We found the divisors of 696, 880, 99, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 880, 99, 272 is 1.
Therefore, GCD of numbers 696, 880, 99, 272 is 1
Given Input Data is 696, 880, 99, 272
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29
Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
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(696, 880) = 76560
GCD(696, 880) = ( 696 x 880 ) / 76560
GCD(696, 880) = 612480 / 76560
GCD(696, 880) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 99) = 792
GCD(8, 99) = ( 8 x 99 ) / 792
GCD(8, 99) = 792 / 792
GCD(8, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 272
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 272) = 272
GCD(1, 272) = ( 1 x 272 ) / 272
GCD(1, 272) = 272 / 272
GCD(1, 272) = 1
GCD of 696, 880, 99, 272 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 696, 880, 99, 272?
GCD of 696, 880, 99, 272 is 1
2. Where do I get the detailed procedure to find GCD of 696, 880, 99, 272?
You can find a detailed procedure to find GCD of 696, 880, 99, 272 on our page.
3. How to find GCD of 696, 880, 99, 272 on a calculator?
You can find the GCD of 696, 880, 99, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.