Online GCD Calculator is useful to find the GCD of 900, 624, 730, 345 quickly. Get the easiest ways to solve the greatest common divisor of 900, 624, 730, 345 i.e 1 in different methods as follows.
Given Input numbers are 900, 624, 730, 345
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 624 :
The positive integer divisors of 624 that completely divides 624 are.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Divisors of 730 :
The positive integer divisors of 730 that completely divides 730 are.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
GCD of numbers is the greatest common divisor
So, the GCD (900, 624, 730, 345) = 1.
Given numbers are 900, 624, 730, 345
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 624 are 2 x 2 x 2 x 2 x 3 x 13
Prime factors of 730 are 2 x 5 x 73
Prime factors of 345 are 3 x 5 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 900, 624, 730, 345
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(900, 624) = 46800
GCD(900, 624) = ( 900 x 624 ) / 46800
= 900 / 624
= 900
Step2:
LCM(12, 730) = 4380
GCD(12, 730) = ( 12 x 730 ) / 4380
= 12 / 730
= 12
Step3:
LCM(2, 345) = 690
GCD(2, 345) = ( 2 x 345 ) / 690
= 2 / 345
= 2
So, Greatest Common Divisor of 900, 624, 730, 345 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 900, 624, 730, 345
The greatest common divisor of numbers 900, 624, 730, 345 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 624, 730, 345 is 1.
1. What is the GCD of 900, 624, 730, 345?
GCD of given numbers 900, 624, 730, 345 is 1
2. How to calculate the greatest common divisor of 900, 624, 730, 345?
We can find the highest common divisor of 900, 624, 730, 345 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, 624, 730, 345 i.e 1.
3. How can I use the GCD of 900, 624, 730, 345Calculator?
Out the numbers 900, 624, 730, 345 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.