Online GCD Calculator is useful to find the GCD of 575, 780, 300, 670 quickly. Get the easiest ways to solve the greatest common divisor of 575, 780, 300, 670 i.e 5 in different methods as follows.
Given Input numbers are 575, 780, 300, 670
In the factoring method, we have to find the divisors of all numbers
Divisors of 575 :
The positive integer divisors of 575 that completely divides 575 are.
1, 5, 23, 25, 115, 575
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 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
Divisors of 670 :
The positive integer divisors of 670 that completely divides 670 are.
1, 2, 5, 10, 67, 134, 335, 670
GCD of numbers is the greatest common divisor
So, the GCD (575, 780, 300, 670) = 5.
Given numbers are 575, 780, 300, 670
The list of prime factors of all numbers are
Prime factors of 575 are 5 x 5 x 23
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
Prime factors of 670 are 2 x 5 x 67
The highest common occurrence is 51
Therefore, GCD of 575, 780, 300, 670 is 5.
Given numbers are 575, 780, 300, 670
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(575, 780) = 89700
GCD(575, 780) = ( 575 x 780 ) / 89700
= 575 / 780
= 575
Step2:
LCM(5, 300) = 300
GCD(5, 300) = ( 5 x 300 ) / 300
= 5 / 300
= 5
Step3:
LCM(5, 670) = 670
GCD(5, 670) = ( 5 x 670 ) / 670
= 5 / 670
= 5
So, Greatest Common Divisor of 575, 780, 300, 670 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 575, 780, 300, 670
The greatest common divisor of numbers 575, 780, 300, 670 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 575, 780, 300, 670 is 5.
1. What is the GCD of 575, 780, 300, 670?
GCD of given numbers 575, 780, 300, 670 is 5
2. How to calculate the greatest common divisor of 575, 780, 300, 670?
We can find the highest common divisor of 575, 780, 300, 670 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 575, 780, 300, 670 i.e 5.
3. How can I use the GCD of 575, 780, 300, 670Calculator?
Out the numbers 575, 780, 300, 670 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.