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 679, 432, 48, 357 i.e. 1 largest integer that divides all the numbers equally.
GCD of 679, 432, 48, 357 is 1
GCD(679, 432, 48, 357) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 679, 432, 48, 357 is 1
GCD(679, 432, 48, 357) = 1
Given Input numbers are 679, 432, 48, 357
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 679
List of positive integer divisors of 679 that divides 679 without a remainder.
1, 7, 97, 679
Divisors of 432
List of positive integer divisors of 432 that divides 432 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
Greatest Common Divisior
We found the divisors of 679, 432, 48, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 679, 432, 48, 357 is 1.
Therefore, GCD of numbers 679, 432, 48, 357 is 1
Given Input Data is 679, 432, 48, 357
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 679 is 7 x 97
Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 357 is 3 x 7 x 17
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(679, 432) = 293328
GCD(679, 432) = ( 679 x 432 ) / 293328
GCD(679, 432) = 293328 / 293328
GCD(679, 432) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 48) = 48
GCD(1, 48) = ( 1 x 48 ) / 48
GCD(1, 48) = 48 / 48
GCD(1, 48) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 357
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 357) = 357
GCD(1, 357) = ( 1 x 357 ) / 357
GCD(1, 357) = 357 / 357
GCD(1, 357) = 1
GCD of 679, 432, 48, 357 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 679, 432, 48, 357?
GCD of 679, 432, 48, 357 is 1
2. Where do I get the detailed procedure to find GCD of 679, 432, 48, 357?
You can find a detailed procedure to find GCD of 679, 432, 48, 357 on our page.
3. How to find GCD of 679, 432, 48, 357 on a calculator?
You can find the GCD of 679, 432, 48, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.