Online GCD Calculator is useful to find the GCD of 400, 682, 307, 999 quickly. Get the easiest ways to solve the greatest common divisor of 400, 682, 307, 999 i.e 1 in different methods as follows.
Given Input numbers are 400, 682, 307, 999
In the factoring method, we have to find the divisors of all numbers
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 307 :
The positive integer divisors of 307 that completely divides 307 are.
1, 307
Divisors of 999 :
The positive integer divisors of 999 that completely divides 999 are.
1, 3, 9, 27, 37, 111, 333, 999
GCD of numbers is the greatest common divisor
So, the GCD (400, 682, 307, 999) = 1.
Given numbers are 400, 682, 307, 999
The list of prime factors of all numbers are
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 682 are 2 x 11 x 31
Prime factors of 307 are 307
Prime factors of 999 are 3 x 3 x 3 x 37
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 400, 682, 307, 999
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(400, 682) = 136400
GCD(400, 682) = ( 400 x 682 ) / 136400
= 400 / 682
= 400
Step2:
LCM(2, 307) = 614
GCD(2, 307) = ( 2 x 307 ) / 614
= 2 / 307
= 2
Step3:
LCM(1, 999) = 999
GCD(1, 999) = ( 1 x 999 ) / 999
= 1 / 999
= 1
So, Greatest Common Divisor of 400, 682, 307, 999 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 400, 682, 307, 999
The greatest common divisor of numbers 400, 682, 307, 999 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 682, 307, 999 is 1.
1. What is the GCD of 400, 682, 307, 999?
GCD of given numbers 400, 682, 307, 999 is 1
2. How to calculate the greatest common divisor of 400, 682, 307, 999?
We can find the highest common divisor of 400, 682, 307, 999 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 400, 682, 307, 999 i.e 1.
3. How can I use the GCD of 400, 682, 307, 999Calculator?
Out the numbers 400, 682, 307, 999 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.