GCD of 609, 574, 385 Calculator

Given Input numbers are 609, 574, 385

In the factoring method, we have to find the divisors of all numbers

Divisors of 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

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 (609, 574, 385) = 7.

Given numbers are 609, 574, 385

The list of prime factors of all numbers are

Prime factors of 609 are 3 x 7 x 29

Prime factors of 574 are 2 x 7 x 41

Prime factors of 385 are 5 x 7 x 11

The highest common occurrence is 7¹

Therefore, GCD of 609, 574, 385 is 7.

Given numbers are 609, 574, 385

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(609, 574) = 49938

GCD(609, 574) = ( 609 x 574 ) / 49938

= 609 / 574

= 609

Step2:

LCM(7, 385) = 385

GCD(7, 385) = ( 7 x 385 ) / 385

= 7 / 385

= 7

So, Greatest Common Divisor of 609, 574, 385 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 807, 295, 479
• GCD of 485, 605, 386
• GCD of 914, 456, 172
• GCD of 842, 874, 129
• GCD of 858, 566, 926

Given numbers are 609, 574, 385
The greatest common divisor of numbers 609, 574, 385 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 609, 574, 385 is 7.

1. What is the GCD of 609, 574, 385?

GCD of given numbers 609, 574, 385 is 7

2. How to calculate the greatest common divisor of 609, 574, 385?

We can find the highest common divisor of 609, 574, 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 609, 574, 385 i.e 7.

3. How can I use the GCD of 609, 574, 385Calculator?

Out the numbers 609, 574, 385 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.