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 496, 436, 77, 886 i.e. 1 largest integer that divides all the numbers equally.
GCD of 496, 436, 77, 886 is 1
GCD(496, 436, 77, 886) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 496, 436, 77, 886 is 1
GCD(496, 436, 77, 886) = 1
Given Input numbers are 496, 436, 77, 886
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 496
List of positive integer divisors of 496 that divides 496 without a remainder.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 436
List of positive integer divisors of 436 that divides 436 without a remainder.
1, 2, 4, 109, 218, 436
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 886
List of positive integer divisors of 886 that divides 886 without a remainder.
1, 2, 443, 886
Greatest Common Divisior
We found the divisors of 496, 436, 77, 886 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 436, 77, 886 is 1.
Therefore, GCD of numbers 496, 436, 77, 886 is 1
Given Input Data is 496, 436, 77, 886
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31
Prime Factorization of 436 is 2 x 2 x 109
Prime Factorization of 77 is 7 x 11
Prime Factorization of 886 is 2 x 443
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(496, 436) = 54064
GCD(496, 436) = ( 496 x 436 ) / 54064
GCD(496, 436) = 216256 / 54064
GCD(496, 436) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 77) = 308
GCD(4, 77) = ( 4 x 77 ) / 308
GCD(4, 77) = 308 / 308
GCD(4, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 886
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 886) = 886
GCD(1, 886) = ( 1 x 886 ) / 886
GCD(1, 886) = 886 / 886
GCD(1, 886) = 1
GCD of 496, 436, 77, 886 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 496, 436, 77, 886?
GCD of 496, 436, 77, 886 is 1
2. Where do I get the detailed procedure to find GCD of 496, 436, 77, 886?
You can find a detailed procedure to find GCD of 496, 436, 77, 886 on our page.
3. How to find GCD of 496, 436, 77, 886 on a calculator?
You can find the GCD of 496, 436, 77, 886 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.