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GCD of 584, 742, 270, 665 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


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.

GCD of

How to Find GCD of Numbers 584, 742, 270, 665 with Factoring?

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.

Find GCD of 584, 742, 270, 665 using Prime Factorization

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

Steps to Calculate GCD of 584, 742, 270, 665 using LCM Formula

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

GCD of Numbers Calculation Examples

Greatest Common Divisor of 584, 742, 270, 665

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.

FAQs on GCD of 584, 742, 270, 665 Calculator

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.