Online GCD Calculator is useful to find the GCD of 307, 900, 147, 728 quickly. Get the easiest ways to solve the greatest common divisor of 307, 900, 147, 728 i.e 1 in different methods as follows.
Given Input numbers are 307, 900, 147, 728
In the factoring method, we have to find the divisors of all numbers
Divisors of 307 :
The positive integer divisors of 307 that completely divides 307 are.
1, 307
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 147 :
The positive integer divisors of 147 that completely divides 147 are.
1, 3, 7, 21, 49, 147
Divisors of 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
GCD of numbers is the greatest common divisor
So, the GCD (307, 900, 147, 728) = 1.
Given numbers are 307, 900, 147, 728
The list of prime factors of all numbers are
Prime factors of 307 are 307
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 147 are 3 x 7 x 7
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 307, 900, 147, 728
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(307, 900) = 276300
GCD(307, 900) = ( 307 x 900 ) / 276300
= 307 / 900
= 307
Step2:
LCM(1, 147) = 147
GCD(1, 147) = ( 1 x 147 ) / 147
= 1 / 147
= 1
Step3:
LCM(1, 728) = 728
GCD(1, 728) = ( 1 x 728 ) / 728
= 1 / 728
= 1
So, Greatest Common Divisor of 307, 900, 147, 728 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 307, 900, 147, 728
The greatest common divisor of numbers 307, 900, 147, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 307, 900, 147, 728 is 1.
1. What is the GCD of 307, 900, 147, 728?
GCD of given numbers 307, 900, 147, 728 is 1
2. How to calculate the greatest common divisor of 307, 900, 147, 728?
We can find the highest common divisor of 307, 900, 147, 728 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 307, 900, 147, 728 i.e 1.
3. How can I use the GCD of 307, 900, 147, 728Calculator?
Out the numbers 307, 900, 147, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.