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 357, 651, 48, 643 i.e. 1 largest integer that divides all the numbers equally.
GCD of 357, 651, 48, 643 is 1
GCD(357, 651, 48, 643) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 357, 651, 48, 643 is 1
GCD(357, 651, 48, 643) = 1
Given Input numbers are 357, 651, 48, 643
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 651
List of positive integer divisors of 651 that divides 651 without a remainder.
1, 3, 7, 21, 31, 93, 217, 651
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 643
List of positive integer divisors of 643 that divides 643 without a remainder.
1, 643
Greatest Common Divisior
We found the divisors of 357, 651, 48, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 357, 651, 48, 643 is 1.
Therefore, GCD of numbers 357, 651, 48, 643 is 1
Given Input Data is 357, 651, 48, 643
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 357 is 3 x 7 x 17
Prime Factorization of 651 is 3 x 7 x 31
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 643 is 643
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(357, 651) = 11067
GCD(357, 651) = ( 357 x 651 ) / 11067
GCD(357, 651) = 232407 / 11067
GCD(357, 651) = 21
Step2:
Here we consider the GCD from the above i.e. 21 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(21, 48) = 336
GCD(21, 48) = ( 21 x 48 ) / 336
GCD(21, 48) = 1008 / 336
GCD(21, 48) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 643
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 643) = 1929
GCD(3, 643) = ( 3 x 643 ) / 1929
GCD(3, 643) = 1929 / 1929
GCD(3, 643) = 1
GCD of 357, 651, 48, 643 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 357, 651, 48, 643?
GCD of 357, 651, 48, 643 is 1
2. Where do I get the detailed procedure to find GCD of 357, 651, 48, 643?
You can find a detailed procedure to find GCD of 357, 651, 48, 643 on our page.
3. How to find GCD of 357, 651, 48, 643 on a calculator?
You can find the GCD of 357, 651, 48, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.