Online GCD Calculator is useful to find the GCD of 355, 320, 895, 640 quickly. Get the easiest ways to solve the greatest common divisor of 355, 320, 895, 640 i.e 5 in different methods as follows.
Given Input numbers are 355, 320, 895, 640
In the factoring method, we have to find the divisors of all numbers
Divisors of 355 :
The positive integer divisors of 355 that completely divides 355 are.
1, 5, 71, 355
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 895 :
The positive integer divisors of 895 that completely divides 895 are.
1, 5, 179, 895
Divisors of 640 :
The positive integer divisors of 640 that completely divides 640 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
GCD of numbers is the greatest common divisor
So, the GCD (355, 320, 895, 640) = 5.
Given numbers are 355, 320, 895, 640
The list of prime factors of all numbers are
Prime factors of 355 are 5 x 71
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 895 are 5 x 179
Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
The highest common occurrence is 51
Therefore, GCD of 355, 320, 895, 640 is 5.
Given numbers are 355, 320, 895, 640
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(355, 320) = 22720
GCD(355, 320) = ( 355 x 320 ) / 22720
= 355 / 320
= 355
Step2:
LCM(5, 895) = 895
GCD(5, 895) = ( 5 x 895 ) / 895
= 5 / 895
= 5
Step3:
LCM(5, 640) = 640
GCD(5, 640) = ( 5 x 640 ) / 640
= 5 / 640
= 5
So, Greatest Common Divisor of 355, 320, 895, 640 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 355, 320, 895, 640
The greatest common divisor of numbers 355, 320, 895, 640 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 355, 320, 895, 640 is 5.
1. What is the GCD of 355, 320, 895, 640?
GCD of given numbers 355, 320, 895, 640 is 5
2. How to calculate the greatest common divisor of 355, 320, 895, 640?
We can find the highest common divisor of 355, 320, 895, 640 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 355, 320, 895, 640 i.e 5.
3. How can I use the GCD of 355, 320, 895, 640Calculator?
Out the numbers 355, 320, 895, 640 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.