Online GCD Calculator is useful to find the GCD of 643, 656, 649, 138 quickly. Get the easiest ways to solve the greatest common divisor of 643, 656, 649, 138 i.e 1 in different methods as follows.
Given Input numbers are 643, 656, 649, 138
In the factoring method, we have to find the divisors of all numbers
Divisors of 643 :
The positive integer divisors of 643 that completely divides 643 are.
1, 643
Divisors of 656 :
The positive integer divisors of 656 that completely divides 656 are.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Divisors of 649 :
The positive integer divisors of 649 that completely divides 649 are.
1, 11, 59, 649
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
GCD of numbers is the greatest common divisor
So, the GCD (643, 656, 649, 138) = 1.
Given numbers are 643, 656, 649, 138
The list of prime factors of all numbers are
Prime factors of 643 are 643
Prime factors of 656 are 2 x 2 x 2 x 2 x 41
Prime factors of 649 are 11 x 59
Prime factors of 138 are 2 x 3 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 643, 656, 649, 138
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(643, 656) = 421808
GCD(643, 656) = ( 643 x 656 ) / 421808
= 643 / 656
= 643
Step2:
LCM(1, 649) = 649
GCD(1, 649) = ( 1 x 649 ) / 649
= 1 / 649
= 1
Step3:
LCM(1, 138) = 138
GCD(1, 138) = ( 1 x 138 ) / 138
= 1 / 138
= 1
So, Greatest Common Divisor of 643, 656, 649, 138 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 643, 656, 649, 138
The greatest common divisor of numbers 643, 656, 649, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 643, 656, 649, 138 is 1.
1. What is the GCD of 643, 656, 649, 138?
GCD of given numbers 643, 656, 649, 138 is 1
2. How to calculate the greatest common divisor of 643, 656, 649, 138?
We can find the highest common divisor of 643, 656, 649, 138 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 643, 656, 649, 138 i.e 1.
3. How can I use the GCD of 643, 656, 649, 138Calculator?
Out the numbers 643, 656, 649, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.