Online GCD Calculator is useful to find the GCD of 174, 584, 140, 385 quickly. Get the easiest ways to solve the greatest common divisor of 174, 584, 140, 385 i.e 1 in different methods as follows.
Given Input numbers are 174, 584, 140, 385
In the factoring method, we have to find the divisors of all numbers
Divisors of 174 :
The positive integer divisors of 174 that completely divides 174 are.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 584 :
The positive integer divisors of 584 that completely divides 584 are.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 385 :
The positive integer divisors of 385 that completely divides 385 are.
1, 5, 7, 11, 35, 55, 77, 385
GCD of numbers is the greatest common divisor
So, the GCD (174, 584, 140, 385) = 1.
Given numbers are 174, 584, 140, 385
The list of prime factors of all numbers are
Prime factors of 174 are 2 x 3 x 29
Prime factors of 584 are 2 x 2 x 2 x 73
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 385 are 5 x 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 174, 584, 140, 385
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(174, 584) = 50808
GCD(174, 584) = ( 174 x 584 ) / 50808
= 174 / 584
= 174
Step2:
LCM(2, 140) = 140
GCD(2, 140) = ( 2 x 140 ) / 140
= 2 / 140
= 2
Step3:
LCM(2, 385) = 770
GCD(2, 385) = ( 2 x 385 ) / 770
= 2 / 385
= 2
So, Greatest Common Divisor of 174, 584, 140, 385 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 174, 584, 140, 385
The greatest common divisor of numbers 174, 584, 140, 385 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 174, 584, 140, 385 is 1.
1. What is the GCD of 174, 584, 140, 385?
GCD of given numbers 174, 584, 140, 385 is 1
2. How to calculate the greatest common divisor of 174, 584, 140, 385?
We can find the highest common divisor of 174, 584, 140, 385 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 174, 584, 140, 385 i.e 1.
3. How can I use the GCD of 174, 584, 140, 385Calculator?
Out the numbers 174, 584, 140, 385 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.