Online GCD Calculator is useful to find the GCD of 320, 670, 928, 724 quickly. Get the easiest ways to solve the greatest common divisor of 320, 670, 928, 724 i.e 2 in different methods as follows.
Given Input numbers are 320, 670, 928, 724
In the factoring method, we have to find the divisors of all numbers
Divisors of 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 670 :
The positive integer divisors of 670 that completely divides 670 are.
1, 2, 5, 10, 67, 134, 335, 670
Divisors of 928 :
The positive integer divisors of 928 that completely divides 928 are.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
GCD of numbers is the greatest common divisor
So, the GCD (320, 670, 928, 724) = 2.
Given numbers are 320, 670, 928, 724
The list of prime factors of all numbers are
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 670 are 2 x 5 x 67
Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29
Prime factors of 724 are 2 x 2 x 181
The highest common occurrence is 21
Therefore, GCD of 320, 670, 928, 724 is 2.
Given numbers are 320, 670, 928, 724
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(320, 670) = 21440
GCD(320, 670) = ( 320 x 670 ) / 21440
= 320 / 670
= 320
Step2:
LCM(10, 928) = 4640
GCD(10, 928) = ( 10 x 928 ) / 4640
= 10 / 928
= 10
Step3:
LCM(2, 724) = 724
GCD(2, 724) = ( 2 x 724 ) / 724
= 2 / 724
= 2
So, Greatest Common Divisor of 320, 670, 928, 724 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 320, 670, 928, 724
The greatest common divisor of numbers 320, 670, 928, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 670, 928, 724 is 2.
1. What is the GCD of 320, 670, 928, 724?
GCD of given numbers 320, 670, 928, 724 is 2
2. How to calculate the greatest common divisor of 320, 670, 928, 724?
We can find the highest common divisor of 320, 670, 928, 724 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 320, 670, 928, 724 i.e 2.
3. How can I use the GCD of 320, 670, 928, 724Calculator?
Out the numbers 320, 670, 928, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.