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, 716, 79, 649 i.e. 1 largest integer that divides all the numbers equally.
GCD of 880, 716, 79, 649 is 1
GCD(880, 716, 79, 649) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 880, 716, 79, 649 is 1
GCD(880, 716, 79, 649) = 1
Given Input numbers are 880, 716, 79, 649
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 716
List of positive integer divisors of 716 that divides 716 without a remainder.
1, 2, 4, 179, 358, 716
Divisors of 79
List of positive integer divisors of 79 that divides 79 without a remainder.
1, 79
Divisors of 649
List of positive integer divisors of 649 that divides 649 without a remainder.
1, 11, 59, 649
Greatest Common Divisior
We found the divisors of 880, 716, 79, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 880, 716, 79, 649 is 1.
Therefore, GCD of numbers 880, 716, 79, 649 is 1
Given Input Data is 880, 716, 79, 649
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 716 is 2 x 2 x 179
Prime Factorization of 79 is 79
Prime Factorization of 649 is 11 x 59
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(880, 716) = 157520
GCD(880, 716) = ( 880 x 716 ) / 157520
GCD(880, 716) = 630080 / 157520
GCD(880, 716) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 79
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 79) = 316
GCD(4, 79) = ( 4 x 79 ) / 316
GCD(4, 79) = 316 / 316
GCD(4, 79) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 649
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 649) = 649
GCD(1, 649) = ( 1 x 649 ) / 649
GCD(1, 649) = 649 / 649
GCD(1, 649) = 1
GCD of 880, 716, 79, 649 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 880, 716, 79, 649?
GCD of 880, 716, 79, 649 is 1
2. Where do I get the detailed procedure to find GCD of 880, 716, 79, 649?
You can find a detailed procedure to find GCD of 880, 716, 79, 649 on our page.
3. How to find GCD of 880, 716, 79, 649 on a calculator?
You can find the GCD of 880, 716, 79, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.