Online GCD Calculator is useful to find the GCD of 755, 640, 343 quickly. Get the easiest ways to solve the greatest common divisor of 755, 640, 343 i.e 1 in different methods as follows.
Given Input numbers are 755, 640, 343
In the factoring method, we have to find the divisors of all numbers
Divisors of 755 :
The positive integer divisors of 755 that completely divides 755 are.
1, 5, 151, 755
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 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
GCD of numbers is the greatest common divisor
So, the GCD (755, 640, 343) = 1.
Given numbers are 755, 640, 343
The list of prime factors of all numbers are
Prime factors of 755 are 5 x 151
Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 343 are 7 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 755, 640, 343
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(755, 640) = 96640
GCD(755, 640) = ( 755 x 640 ) / 96640
= 755 / 640
= 755
Step2:
LCM(5, 343) = 1715
GCD(5, 343) = ( 5 x 343 ) / 1715
= 5 / 343
= 5
So, Greatest Common Divisor of 755, 640, 343 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 755, 640, 343
The greatest common divisor of numbers 755, 640, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 755, 640, 343 is 1.
1. What is the GCD of 755, 640, 343?
GCD of given numbers 755, 640, 343 is 1
2. How to calculate the greatest common divisor of 755, 640, 343?
We can find the highest common divisor of 755, 640, 343 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 755, 640, 343 i.e 1.
3. How can I use the GCD of 755, 640, 343Calculator?
Out the numbers 755, 640, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.