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 928, 744, 977, 479 i.e. 1 largest integer that divides all the numbers equally.
GCD of 928, 744, 977, 479 is 1
GCD(928, 744, 977, 479) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 928, 744, 977, 479 is 1
GCD(928, 744, 977, 479) = 1
Given Input numbers are 928, 744, 977, 479
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 928
List of positive integer divisors of 928 that divides 928 without a remainder.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
Divisors of 744
List of positive integer divisors of 744 that divides 744 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 977
List of positive integer divisors of 977 that divides 977 without a remainder.
1, 977
Divisors of 479
List of positive integer divisors of 479 that divides 479 without a remainder.
1, 479
Greatest Common Divisior
We found the divisors of 928, 744, 977, 479 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 928, 744, 977, 479 is 1.
Therefore, GCD of numbers 928, 744, 977, 479 is 1
Given Input Data is 928, 744, 977, 479
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29
Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31
Prime Factorization of 977 is 977
Prime Factorization of 479 is 479
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(928, 744) = 86304
GCD(928, 744) = ( 928 x 744 ) / 86304
GCD(928, 744) = 690432 / 86304
GCD(928, 744) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 977
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 977) = 7816
GCD(8, 977) = ( 8 x 977 ) / 7816
GCD(8, 977) = 7816 / 7816
GCD(8, 977) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 479
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 479) = 479
GCD(1, 479) = ( 1 x 479 ) / 479
GCD(1, 479) = 479 / 479
GCD(1, 479) = 1
GCD of 928, 744, 977, 479 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 928, 744, 977, 479?
GCD of 928, 744, 977, 479 is 1
2. Where do I get the detailed procedure to find GCD of 928, 744, 977, 479?
You can find a detailed procedure to find GCD of 928, 744, 977, 479 on our page.
3. How to find GCD of 928, 744, 977, 479 on a calculator?
You can find the GCD of 928, 744, 977, 479 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.