Online GCD Calculator is useful to find the GCD of 138, 450, 649, 640 quickly. Get the easiest ways to solve the greatest common divisor of 138, 450, 649, 640 i.e 1 in different methods as follows.
Given Input numbers are 138, 450, 649, 640
In the factoring method, we have to find the divisors of all numbers
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 450 :
The positive integer divisors of 450 that completely divides 450 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Divisors of 649 :
The positive integer divisors of 649 that completely divides 649 are.
1, 11, 59, 649
Divisors of 640 :
The positive integer divisors of 640 that completely divides 640 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
GCD of numbers is the greatest common divisor
So, the GCD (138, 450, 649, 640) = 1.
Given numbers are 138, 450, 649, 640
The list of prime factors of all numbers are
Prime factors of 138 are 2 x 3 x 23
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
Prime factors of 649 are 11 x 59
Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 138, 450, 649, 640
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(138, 450) = 10350
GCD(138, 450) = ( 138 x 450 ) / 10350
= 138 / 450
= 138
Step2:
LCM(6, 649) = 3894
GCD(6, 649) = ( 6 x 649 ) / 3894
= 6 / 649
= 6
Step3:
LCM(1, 640) = 640
GCD(1, 640) = ( 1 x 640 ) / 640
= 1 / 640
= 1
So, Greatest Common Divisor of 138, 450, 649, 640 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 138, 450, 649, 640
The greatest common divisor of numbers 138, 450, 649, 640 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 450, 649, 640 is 1.
1. What is the GCD of 138, 450, 649, 640?
GCD of given numbers 138, 450, 649, 640 is 1
2. How to calculate the greatest common divisor of 138, 450, 649, 640?
We can find the highest common divisor of 138, 450, 649, 640 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 138, 450, 649, 640 i.e 1.
3. How can I use the GCD of 138, 450, 649, 640Calculator?
Out the numbers 138, 450, 649, 640 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.