Online GCD Calculator is useful to find the GCD of 900, 166, 343, 645 quickly. Get the easiest ways to solve the greatest common divisor of 900, 166, 343, 645 i.e 1 in different methods as follows.
Given Input numbers are 900, 166, 343, 645
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 166 :
The positive integer divisors of 166 that completely divides 166 are.
1, 2, 83, 166
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
Divisors of 645 :
The positive integer divisors of 645 that completely divides 645 are.
1, 3, 5, 15, 43, 129, 215, 645
GCD of numbers is the greatest common divisor
So, the GCD (900, 166, 343, 645) = 1.
Given numbers are 900, 166, 343, 645
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 166 are 2 x 83
Prime factors of 343 are 7 x 7 x 7
Prime factors of 645 are 3 x 5 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 900, 166, 343, 645
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(900, 166) = 74700
GCD(900, 166) = ( 900 x 166 ) / 74700
= 900 / 166
= 900
Step2:
LCM(2, 343) = 686
GCD(2, 343) = ( 2 x 343 ) / 686
= 2 / 343
= 2
Step3:
LCM(1, 645) = 645
GCD(1, 645) = ( 1 x 645 ) / 645
= 1 / 645
= 1
So, Greatest Common Divisor of 900, 166, 343, 645 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 900, 166, 343, 645
The greatest common divisor of numbers 900, 166, 343, 645 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 166, 343, 645 is 1.
1. What is the GCD of 900, 166, 343, 645?
GCD of given numbers 900, 166, 343, 645 is 1
2. How to calculate the greatest common divisor of 900, 166, 343, 645?
We can find the highest common divisor of 900, 166, 343, 645 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, 166, 343, 645 i.e 1.
3. How can I use the GCD of 900, 166, 343, 645Calculator?
Out the numbers 900, 166, 343, 645 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.