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 880, 154, 706 i.e. 2 largest integer that divides all the numbers equally.
GCD of 880, 154, 706 is 2
GCD(880, 154, 706) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 880, 154, 706 is 2
GCD(880, 154, 706) = 2
Given Input numbers are 880, 154, 706
To find the GCD of numbers using factoring list out all the divisors of each number
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 154
List of positive integer divisors of 154 that divides 154 without a remainder.
1, 2, 7, 11, 14, 22, 77, 154
Divisors of 706
List of positive integer divisors of 706 that divides 706 without a remainder.
1, 2, 353, 706
Greatest Common Divisior
We found the divisors of 880, 154, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 880, 154, 706 is 2.
Therefore, GCD of numbers 880, 154, 706 is 2
Given Input Data is 880, 154, 706
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11
Prime Factorization of 154 is 2 x 7 x 11
Prime Factorization of 706 is 2 x 353
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(880, 154) = 6160
GCD(880, 154) = ( 880 x 154 ) / 6160
GCD(880, 154) = 135520 / 6160
GCD(880, 154) = 22
Step2:
Here we consider the GCD from the above i.e. 22 as first number and the next as 706
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(22, 706) = 7766
GCD(22, 706) = ( 22 x 706 ) / 7766
GCD(22, 706) = 15532 / 7766
GCD(22, 706) = 2
GCD of 880, 154, 706 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 880, 154, 706?
GCD of 880, 154, 706 is 2
2. Where do I get the detailed procedure to find GCD of 880, 154, 706?
You can find a detailed procedure to find GCD of 880, 154, 706 on our page.
3. How to find GCD of 880, 154, 706 on a calculator?
You can find the GCD of 880, 154, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.