GCD of 508, 370, 584 Calculator

Given Input numbers are 508, 370, 584

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

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

GCD of numbers is the greatest common divisor

So, the GCD (508, 370, 584) = 2.

Given numbers are 508, 370, 584

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

Prime factors of 370 are 2 x 5 x 37

Prime factors of 584 are 2 x 2 x 2 x 73

The highest common occurrence is 2¹

Therefore, GCD of 508, 370, 584 is 2.

Given numbers are 508, 370, 584

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

Apply this formula for all numbers.

Step1:

LCM(508, 370) = 93980

GCD(508, 370) = ( 508 x 370 ) / 93980

= 508 / 370

= 508

Step2:

LCM(2, 584) = 584

GCD(2, 584) = ( 2 x 584 ) / 584

= 2 / 584

= 2

So, Greatest Common Divisor of 508, 370, 584 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 813, 472, 430
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Given numbers are 508, 370, 584
The greatest common divisor of numbers 508, 370, 584 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 370, 584 is 2.

1. What is the GCD of 508, 370, 584?

GCD of given numbers 508, 370, 584 is 2

2. How to calculate the greatest common divisor of 508, 370, 584?

We can find the highest common divisor of 508, 370, 584 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 508, 370, 584 i.e 2.

3. How can I use the GCD of 508, 370, 584Calculator?

Out the numbers 508, 370, 584 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.