Online GCD Calculator is useful to find the GCD of 645, 780, 400, 313 quickly. Get the easiest ways to solve the greatest common divisor of 645, 780, 400, 313 i.e 1 in different methods as follows.
Given Input numbers are 645, 780, 400, 313
In the factoring method, we have to find the divisors of all numbers
Divisors of 645 :
The positive integer divisors of 645 that completely divides 645 are.
1, 3, 5, 15, 43, 129, 215, 645
Divisors of 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
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 313 :
The positive integer divisors of 313 that completely divides 313 are.
1, 313
GCD of numbers is the greatest common divisor
So, the GCD (645, 780, 400, 313) = 1.
Given numbers are 645, 780, 400, 313
The list of prime factors of all numbers are
Prime factors of 645 are 3 x 5 x 43
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 313 are 313
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 645, 780, 400, 313
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(645, 780) = 33540
GCD(645, 780) = ( 645 x 780 ) / 33540
= 645 / 780
= 645
Step2:
LCM(15, 400) = 1200
GCD(15, 400) = ( 15 x 400 ) / 1200
= 15 / 400
= 15
Step3:
LCM(5, 313) = 1565
GCD(5, 313) = ( 5 x 313 ) / 1565
= 5 / 313
= 5
So, Greatest Common Divisor of 645, 780, 400, 313 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 645, 780, 400, 313
The greatest common divisor of numbers 645, 780, 400, 313 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 645, 780, 400, 313 is 1.
1. What is the GCD of 645, 780, 400, 313?
GCD of given numbers 645, 780, 400, 313 is 1
2. How to calculate the greatest common divisor of 645, 780, 400, 313?
We can find the highest common divisor of 645, 780, 400, 313 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 645, 780, 400, 313 i.e 1.
3. How can I use the GCD of 645, 780, 400, 313Calculator?
Out the numbers 645, 780, 400, 313 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.