Online GCD Calculator is useful to find the GCD of 900, 729, 700, 649 quickly. Get the easiest ways to solve the greatest common divisor of 900, 729, 700, 649 i.e 1 in different methods as follows.
Given Input numbers are 900, 729, 700, 649
In the factoring method, we have to find the divisors of all numbers
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 729 :
The positive integer divisors of 729 that completely divides 729 are.
1, 3, 9, 27, 81, 243, 729
Divisors of 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 649 :
The positive integer divisors of 649 that completely divides 649 are.
1, 11, 59, 649
GCD of numbers is the greatest common divisor
So, the GCD (900, 729, 700, 649) = 1.
Given numbers are 900, 729, 700, 649
The list of prime factors of all numbers are
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 649 are 11 x 59
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 900, 729, 700, 649
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(900, 729) = 72900
GCD(900, 729) = ( 900 x 729 ) / 72900
= 900 / 729
= 900
Step2:
LCM(9, 700) = 6300
GCD(9, 700) = ( 9 x 700 ) / 6300
= 9 / 700
= 9
Step3:
LCM(1, 649) = 649
GCD(1, 649) = ( 1 x 649 ) / 649
= 1 / 649
= 1
So, Greatest Common Divisor of 900, 729, 700, 649 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 900, 729, 700, 649
The greatest common divisor of numbers 900, 729, 700, 649 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 729, 700, 649 is 1.
1. What is the GCD of 900, 729, 700, 649?
GCD of given numbers 900, 729, 700, 649 is 1
2. How to calculate the greatest common divisor of 900, 729, 700, 649?
We can find the highest common divisor of 900, 729, 700, 649 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 900, 729, 700, 649 i.e 1.
3. How can I use the GCD of 900, 729, 700, 649Calculator?
Out the numbers 900, 729, 700, 649 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.