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 979, 451, 562, 456 i.e. 1 largest integer that divides all the numbers equally.
GCD of 979, 451, 562, 456 is 1
GCD(979, 451, 562, 456) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 979, 451, 562, 456 is 1
GCD(979, 451, 562, 456) = 1
Given Input numbers are 979, 451, 562, 456
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 979
List of positive integer divisors of 979 that divides 979 without a remainder.
1, 11, 89, 979
Divisors of 451
List of positive integer divisors of 451 that divides 451 without a remainder.
1, 11, 41, 451
Divisors of 562
List of positive integer divisors of 562 that divides 562 without a remainder.
1, 2, 281, 562
Divisors of 456
List of positive integer divisors of 456 that divides 456 without a remainder.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Greatest Common Divisior
We found the divisors of 979, 451, 562, 456 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 979, 451, 562, 456 is 1.
Therefore, GCD of numbers 979, 451, 562, 456 is 1
Given Input Data is 979, 451, 562, 456
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 979 is 11 x 89
Prime Factorization of 451 is 11 x 41
Prime Factorization of 562 is 2 x 281
Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19
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(979, 451) = 40139
GCD(979, 451) = ( 979 x 451 ) / 40139
GCD(979, 451) = 441529 / 40139
GCD(979, 451) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 562
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 562) = 6182
GCD(11, 562) = ( 11 x 562 ) / 6182
GCD(11, 562) = 6182 / 6182
GCD(11, 562) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 456
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 456) = 456
GCD(1, 456) = ( 1 x 456 ) / 456
GCD(1, 456) = 456 / 456
GCD(1, 456) = 1
GCD of 979, 451, 562, 456 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 979, 451, 562, 456?
GCD of 979, 451, 562, 456 is 1
2. Where do I get the detailed procedure to find GCD of 979, 451, 562, 456?
You can find a detailed procedure to find GCD of 979, 451, 562, 456 on our page.
3. How to find GCD of 979, 451, 562, 456 on a calculator?
You can find the GCD of 979, 451, 562, 456 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.