Online GCD Calculator is useful to find the GCD of 386, 510, 900, 343 quickly. Get the easiest ways to solve the greatest common divisor of 386, 510, 900, 343 i.e 1 in different methods as follows.
Given Input numbers are 386, 510, 900, 343
In the factoring method, we have to find the divisors of all numbers
Divisors of 386 :
The positive integer divisors of 386 that completely divides 386 are.
1, 2, 193, 386
Divisors of 510 :
The positive integer divisors of 510 that completely divides 510 are.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
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 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
GCD of numbers is the greatest common divisor
So, the GCD (386, 510, 900, 343) = 1.
Given numbers are 386, 510, 900, 343
The list of prime factors of all numbers are
Prime factors of 386 are 2 x 193
Prime factors of 510 are 2 x 3 x 5 x 17
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 343 are 7 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 386, 510, 900, 343
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(386, 510) = 98430
GCD(386, 510) = ( 386 x 510 ) / 98430
= 386 / 510
= 386
Step2:
LCM(2, 900) = 900
GCD(2, 900) = ( 2 x 900 ) / 900
= 2 / 900
= 2
Step3:
LCM(2, 343) = 686
GCD(2, 343) = ( 2 x 343 ) / 686
= 2 / 343
= 2
So, Greatest Common Divisor of 386, 510, 900, 343 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 386, 510, 900, 343
The greatest common divisor of numbers 386, 510, 900, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 386, 510, 900, 343 is 1.
1. What is the GCD of 386, 510, 900, 343?
GCD of given numbers 386, 510, 900, 343 is 1
2. How to calculate the greatest common divisor of 386, 510, 900, 343?
We can find the highest common divisor of 386, 510, 900, 343 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 386, 510, 900, 343 i.e 1.
3. How can I use the GCD of 386, 510, 900, 343Calculator?
Out the numbers 386, 510, 900, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.