Online GCD Calculator is useful to find the GCD of 584, 742, 270, 665 quickly. Get the easiest ways to solve the greatest common divisor of 584, 742, 270, 665 i.e 1 in different methods as follows.
Given Input numbers are 584, 742, 270, 665
In the factoring method, we have to find the divisors of all numbers
Divisors of 584 :
The positive integer divisors of 584 that completely divides 584 are.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 665 :
The positive integer divisors of 665 that completely divides 665 are.
1, 5, 7, 19, 35, 95, 133, 665
GCD of numbers is the greatest common divisor
So, the GCD (584, 742, 270, 665) = 1.
Given numbers are 584, 742, 270, 665
The list of prime factors of all numbers are
Prime factors of 584 are 2 x 2 x 2 x 73
Prime factors of 742 are 2 x 7 x 53
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 665 are 5 x 7 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 584, 742, 270, 665
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(584, 742) = 216664
GCD(584, 742) = ( 584 x 742 ) / 216664
= 584 / 742
= 584
Step2:
LCM(2, 270) = 270
GCD(2, 270) = ( 2 x 270 ) / 270
= 2 / 270
= 2
Step3:
LCM(2, 665) = 1330
GCD(2, 665) = ( 2 x 665 ) / 1330
= 2 / 665
= 2
So, Greatest Common Divisor of 584, 742, 270, 665 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 584, 742, 270, 665
The greatest common divisor of numbers 584, 742, 270, 665 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 584, 742, 270, 665 is 1.
1. What is the GCD of 584, 742, 270, 665?
GCD of given numbers 584, 742, 270, 665 is 1
2. How to calculate the greatest common divisor of 584, 742, 270, 665?
We can find the highest common divisor of 584, 742, 270, 665 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 584, 742, 270, 665 i.e 1.
3. How can I use the GCD of 584, 742, 270, 665Calculator?
Out the numbers 584, 742, 270, 665 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.