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 929, 763, 28, 980 i.e. 1 largest integer that divides all the numbers equally.
GCD of 929, 763, 28, 980 is 1
GCD(929, 763, 28, 980) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 929, 763, 28, 980 is 1
GCD(929, 763, 28, 980) = 1
Given Input numbers are 929, 763, 28, 980
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 929
List of positive integer divisors of 929 that divides 929 without a remainder.
1, 929
Divisors of 763
List of positive integer divisors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Divisors of 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
Divisors of 980
List of positive integer divisors of 980 that divides 980 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Greatest Common Divisior
We found the divisors of 929, 763, 28, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 929, 763, 28, 980 is 1.
Therefore, GCD of numbers 929, 763, 28, 980 is 1
Given Input Data is 929, 763, 28, 980
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 929 is 929
Prime Factorization of 763 is 7 x 109
Prime Factorization of 28 is 2 x 2 x 7
Prime Factorization of 980 is 2 x 2 x 5 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(929, 763) = 708827
GCD(929, 763) = ( 929 x 763 ) / 708827
GCD(929, 763) = 708827 / 708827
GCD(929, 763) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 28
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 28) = 28
GCD(1, 28) = ( 1 x 28 ) / 28
GCD(1, 28) = 28 / 28
GCD(1, 28) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 980
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 980) = 980
GCD(1, 980) = ( 1 x 980 ) / 980
GCD(1, 980) = 980 / 980
GCD(1, 980) = 1
GCD of 929, 763, 28, 980 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 929, 763, 28, 980?
GCD of 929, 763, 28, 980 is 1
2. Where do I get the detailed procedure to find GCD of 929, 763, 28, 980?
You can find a detailed procedure to find GCD of 929, 763, 28, 980 on our page.
3. How to find GCD of 929, 763, 28, 980 on a calculator?
You can find the GCD of 929, 763, 28, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.