Online GCD Calculator is useful to find the GCD of 340, 640, 64 quickly. Get the easiest ways to solve the greatest common divisor of 340, 640, 64 i.e 4 in different methods as follows.
Given Input numbers are 340, 640, 64
In the factoring method, we have to find the divisors of all numbers
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
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
Divisors of 64 :
The positive integer divisors of 64 that completely divides 64 are.
1, 2, 4, 8, 16, 32, 64
GCD of numbers is the greatest common divisor
So, the GCD (340, 640, 64) = 4.
Given numbers are 340, 640, 64
The list of prime factors of all numbers are
Prime factors of 340 are 2 x 2 x 5 x 17
Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 64 are 2 x 2 x 2 x 2 x 2 x 2
The highest common occurrence is 22
Therefore, GCD of 340, 640, 64 is 4.
Given numbers are 340, 640, 64
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(340, 640) = 10880
GCD(340, 640) = ( 340 x 640 ) / 10880
= 340 / 640
= 340
Step2:
LCM(20, 64) = 320
GCD(20, 64) = ( 20 x 64 ) / 320
= 20 / 64
= 20
So, Greatest Common Divisor of 340, 640, 64 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 340, 640, 64
The greatest common divisor of numbers 340, 640, 64 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 340, 640, 64 is 4.
1. What is the GCD of 340, 640, 64?
GCD of given numbers 340, 640, 64 is 4
2. How to calculate the greatest common divisor of 340, 640, 64?
We can find the highest common divisor of 340, 640, 64 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 340, 640, 64 i.e 4.
3. How can I use the GCD of 340, 640, 64Calculator?
Out the numbers 340, 640, 64 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.