GCD of 370, 584, 390, 898 Calculator

Given Input numbers are 370, 584, 390, 898

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

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

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

GCD of numbers is the greatest common divisor

So, the GCD (370, 584, 390, 898) = 2.

Given numbers are 370, 584, 390, 898

The list of prime factors of all numbers are

Prime factors of 370 are 2 x 5 x 37

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

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 898 are 2 x 449

The highest common occurrence is 2¹

Therefore, GCD of 370, 584, 390, 898 is 2.

Given numbers are 370, 584, 390, 898

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

Apply this formula for all numbers.

Step1:

LCM(370, 584) = 108040

GCD(370, 584) = ( 370 x 584 ) / 108040

= 370 / 584

= 370

Step2:

LCM(2, 390) = 390

GCD(2, 390) = ( 2 x 390 ) / 390

= 2 / 390

= 2

Step3:

LCM(2, 898) = 898

GCD(2, 898) = ( 2 x 898 ) / 898

= 2 / 898

= 2

So, Greatest Common Divisor of 370, 584, 390, 898 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 982, 945, 228, 576
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• GCD of 732, 378, 419, 893
• GCD of 559, 719, 699, 321

Given numbers are 370, 584, 390, 898
The greatest common divisor of numbers 370, 584, 390, 898 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 584, 390, 898 is 2.

1. What is the GCD of 370, 584, 390, 898?

GCD of given numbers 370, 584, 390, 898 is 2

2. How to calculate the greatest common divisor of 370, 584, 390, 898?

We can find the highest common divisor of 370, 584, 390, 898 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 370, 584, 390, 898 i.e 2.

3. How can I use the GCD of 370, 584, 390, 898Calculator?

Out the numbers 370, 584, 390, 898 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.