GCD of 390, 474, 196, 730 Calculator

Given Input numbers are 390, 474, 196, 730

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

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 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

GCD of numbers is the greatest common divisor

So, the GCD (390, 474, 196, 730) = 2.

Given numbers are 390, 474, 196, 730

The list of prime factors of all numbers are

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

Prime factors of 474 are 2 x 3 x 79

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 730 are 2 x 5 x 73

The highest common occurrence is 2¹

Therefore, GCD of 390, 474, 196, 730 is 2.

Given numbers are 390, 474, 196, 730

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

Apply this formula for all numbers.

Step1:

LCM(390, 474) = 30810

GCD(390, 474) = ( 390 x 474 ) / 30810

= 390 / 474

= 390

Step2:

LCM(6, 196) = 588

GCD(6, 196) = ( 6 x 196 ) / 588

= 6 / 196

= 6

Step3:

LCM(2, 730) = 730

GCD(2, 730) = ( 2 x 730 ) / 730

= 2 / 730

= 2

So, Greatest Common Divisor of 390, 474, 196, 730 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 164, 189, 993, 967
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Given numbers are 390, 474, 196, 730
The greatest common divisor of numbers 390, 474, 196, 730 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 474, 196, 730 is 2.

1. What is the GCD of 390, 474, 196, 730?

GCD of given numbers 390, 474, 196, 730 is 2

2. How to calculate the greatest common divisor of 390, 474, 196, 730?

We can find the highest common divisor of 390, 474, 196, 730 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 390, 474, 196, 730 i.e 2.

3. How can I use the GCD of 390, 474, 196, 730Calculator?

Out the numbers 390, 474, 196, 730 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.