GCD of 390, 314, 158, 732 Calculator

Given Input numbers are 390, 314, 158, 732

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 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 158 :

The positive integer divisors of 158 that completely divides 158 are.

1, 2, 79, 158

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

GCD of numbers is the greatest common divisor

So, the GCD (390, 314, 158, 732) = 2.

Given numbers are 390, 314, 158, 732

The list of prime factors of all numbers are

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

Prime factors of 314 are 2 x 157

Prime factors of 158 are 2 x 79

Prime factors of 732 are 2 x 2 x 3 x 61

The highest common occurrence is 2¹

Therefore, GCD of 390, 314, 158, 732 is 2.

Given numbers are 390, 314, 158, 732

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

Apply this formula for all numbers.

Step1:

LCM(390, 314) = 61230

GCD(390, 314) = ( 390 x 314 ) / 61230

= 390 / 314

= 390

Step2:

LCM(2, 158) = 158

GCD(2, 158) = ( 2 x 158 ) / 158

= 2 / 158

= 2

Step3:

LCM(2, 732) = 732

GCD(2, 732) = ( 2 x 732 ) / 732

= 2 / 732

= 2

So, Greatest Common Divisor of 390, 314, 158, 732 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 474, 638, 192, 225
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Given numbers are 390, 314, 158, 732
The greatest common divisor of numbers 390, 314, 158, 732 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 314, 158, 732 is 2.

1. What is the GCD of 390, 314, 158, 732?

GCD of given numbers 390, 314, 158, 732 is 2

2. How to calculate the greatest common divisor of 390, 314, 158, 732?

We can find the highest common divisor of 390, 314, 158, 732 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, 314, 158, 732 i.e 2.

3. How can I use the GCD of 390, 314, 158, 732Calculator?

Out the numbers 390, 314, 158, 732 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.