Online GCD Calculator is useful to find the GCD of 335, 145, 349, 400 quickly. Get the easiest ways to solve the greatest common divisor of 335, 145, 349, 400 i.e 1 in different methods as follows.
Given Input numbers are 335, 145, 349, 400
In the factoring method, we have to find the divisors of all numbers
Divisors of 335 :
The positive integer divisors of 335 that completely divides 335 are.
1, 5, 67, 335
Divisors of 145 :
The positive integer divisors of 145 that completely divides 145 are.
1, 5, 29, 145
Divisors of 349 :
The positive integer divisors of 349 that completely divides 349 are.
1, 349
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
GCD of numbers is the greatest common divisor
So, the GCD (335, 145, 349, 400) = 1.
Given numbers are 335, 145, 349, 400
The list of prime factors of all numbers are
Prime factors of 335 are 5 x 67
Prime factors of 145 are 5 x 29
Prime factors of 349 are 349
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 335, 145, 349, 400
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(335, 145) = 9715
GCD(335, 145) = ( 335 x 145 ) / 9715
= 335 / 145
= 335
Step2:
LCM(5, 349) = 1745
GCD(5, 349) = ( 5 x 349 ) / 1745
= 5 / 349
= 5
Step3:
LCM(1, 400) = 400
GCD(1, 400) = ( 1 x 400 ) / 400
= 1 / 400
= 1
So, Greatest Common Divisor of 335, 145, 349, 400 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 335, 145, 349, 400
The greatest common divisor of numbers 335, 145, 349, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 335, 145, 349, 400 is 1.
1. What is the GCD of 335, 145, 349, 400?
GCD of given numbers 335, 145, 349, 400 is 1
2. How to calculate the greatest common divisor of 335, 145, 349, 400?
We can find the highest common divisor of 335, 145, 349, 400 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 335, 145, 349, 400 i.e 1.
3. How can I use the GCD of 335, 145, 349, 400Calculator?
Out the numbers 335, 145, 349, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.