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 77, 430, 728, 672 i.e. 1 largest integer that divides all the numbers equally.
GCD of 77, 430, 728, 672 is 1
GCD(77, 430, 728, 672) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 77, 430, 728, 672 is 1
GCD(77, 430, 728, 672) = 1
Given Input numbers are 77, 430, 728, 672
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 430
List of positive integer divisors of 430 that divides 430 without a remainder.
1, 2, 5, 10, 43, 86, 215, 430
Divisors of 728
List of positive integer divisors of 728 that divides 728 without a remainder.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 672
List of positive integer divisors of 672 that divides 672 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
Greatest Common Divisior
We found the divisors of 77, 430, 728, 672 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 430, 728, 672 is 1.
Therefore, GCD of numbers 77, 430, 728, 672 is 1
Given Input Data is 77, 430, 728, 672
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 77 is 7 x 11
Prime Factorization of 430 is 2 x 5 x 43
Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13
Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 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(77, 430) = 33110
GCD(77, 430) = ( 77 x 430 ) / 33110
GCD(77, 430) = 33110 / 33110
GCD(77, 430) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 728
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 728) = 728
GCD(1, 728) = ( 1 x 728 ) / 728
GCD(1, 728) = 728 / 728
GCD(1, 728) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 672
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 672) = 672
GCD(1, 672) = ( 1 x 672 ) / 672
GCD(1, 672) = 672 / 672
GCD(1, 672) = 1
GCD of 77, 430, 728, 672 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 77, 430, 728, 672?
GCD of 77, 430, 728, 672 is 1
2. Where do I get the detailed procedure to find GCD of 77, 430, 728, 672?
You can find a detailed procedure to find GCD of 77, 430, 728, 672 on our page.
3. How to find GCD of 77, 430, 728, 672 on a calculator?
You can find the GCD of 77, 430, 728, 672 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.