Online GCD Calculator is useful to find the GCD of 705, 440, 434, 371 quickly. Get the easiest ways to solve the greatest common divisor of 705, 440, 434, 371 i.e 1 in different methods as follows.
Given Input numbers are 705, 440, 434, 371
In the factoring method, we have to find the divisors of all numbers
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 440 :
The positive integer divisors of 440 that completely divides 440 are.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 434 :
The positive integer divisors of 434 that completely divides 434 are.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 371 :
The positive integer divisors of 371 that completely divides 371 are.
1, 7, 53, 371
GCD of numbers is the greatest common divisor
So, the GCD (705, 440, 434, 371) = 1.
Given numbers are 705, 440, 434, 371
The list of prime factors of all numbers are
Prime factors of 705 are 3 x 5 x 47
Prime factors of 440 are 2 x 2 x 2 x 5 x 11
Prime factors of 434 are 2 x 7 x 31
Prime factors of 371 are 7 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 705, 440, 434, 371
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(705, 440) = 62040
GCD(705, 440) = ( 705 x 440 ) / 62040
= 705 / 440
= 705
Step2:
LCM(5, 434) = 2170
GCD(5, 434) = ( 5 x 434 ) / 2170
= 5 / 434
= 5
Step3:
LCM(1, 371) = 371
GCD(1, 371) = ( 1 x 371 ) / 371
= 1 / 371
= 1
So, Greatest Common Divisor of 705, 440, 434, 371 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 705, 440, 434, 371
The greatest common divisor of numbers 705, 440, 434, 371 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 440, 434, 371 is 1.
1. What is the GCD of 705, 440, 434, 371?
GCD of given numbers 705, 440, 434, 371 is 1
2. How to calculate the greatest common divisor of 705, 440, 434, 371?
We can find the highest common divisor of 705, 440, 434, 371 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 705, 440, 434, 371 i.e 1.
3. How can I use the GCD of 705, 440, 434, 371Calculator?
Out the numbers 705, 440, 434, 371 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.