Online GCD Calculator is useful to find the GCD of 146, 981, 687, 300 quickly. Get the easiest ways to solve the greatest common divisor of 146, 981, 687, 300 i.e 1 in different methods as follows.
Given Input numbers are 146, 981, 687, 300
In the factoring method, we have to find the divisors of all numbers
Divisors of 146 :
The positive integer divisors of 146 that completely divides 146 are.
1, 2, 73, 146
Divisors of 981 :
The positive integer divisors of 981 that completely divides 981 are.
1, 3, 9, 109, 327, 981
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
GCD of numbers is the greatest common divisor
So, the GCD (146, 981, 687, 300) = 1.
Given numbers are 146, 981, 687, 300
The list of prime factors of all numbers are
Prime factors of 146 are 2 x 73
Prime factors of 981 are 3 x 3 x 109
Prime factors of 687 are 3 x 229
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 146, 981, 687, 300
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(146, 981) = 143226
GCD(146, 981) = ( 146 x 981 ) / 143226
= 146 / 981
= 146
Step2:
LCM(1, 687) = 687
GCD(1, 687) = ( 1 x 687 ) / 687
= 1 / 687
= 1
Step3:
LCM(1, 300) = 300
GCD(1, 300) = ( 1 x 300 ) / 300
= 1 / 300
= 1
So, Greatest Common Divisor of 146, 981, 687, 300 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 146, 981, 687, 300
The greatest common divisor of numbers 146, 981, 687, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 146, 981, 687, 300 is 1.
1. What is the GCD of 146, 981, 687, 300?
GCD of given numbers 146, 981, 687, 300 is 1
2. How to calculate the greatest common divisor of 146, 981, 687, 300?
We can find the highest common divisor of 146, 981, 687, 300 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 146, 981, 687, 300 i.e 1.
3. How can I use the GCD of 146, 981, 687, 300Calculator?
Out the numbers 146, 981, 687, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.