GCD of 130, 486, 314, 739 Calculator

Given Input numbers are 130, 486, 314, 739

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

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 486 :

The positive integer divisors of 486 that completely divides 486 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 314 :

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

1, 2, 157, 314

Divisors of 739 :

The positive integer divisors of 739 that completely divides 739 are.

1, 739

GCD of numbers is the greatest common divisor

So, the GCD (130, 486, 314, 739) = 1.

Given numbers are 130, 486, 314, 739

The list of prime factors of all numbers are

Prime factors of 130 are 2 x 5 x 13

Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 314 are 2 x 157

Prime factors of 739 are 739

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 130, 486, 314, 739

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

Apply this formula for all numbers.

Step1:

LCM(130, 486) = 31590

GCD(130, 486) = ( 130 x 486 ) / 31590

= 130 / 486

= 130

Step2:

LCM(2, 314) = 314

GCD(2, 314) = ( 2 x 314 ) / 314

= 2 / 314

= 2

Step3:

LCM(2, 739) = 1478

GCD(2, 739) = ( 2 x 739 ) / 1478

= 2 / 739

= 2

So, Greatest Common Divisor of 130, 486, 314, 739 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 472, 932, 326, 721
• GCD of 450, 468, 201, 291
• GCD of 226, 864, 487, 831
• GCD of 863, 340, 376, 862
• GCD of 109, 225, 394, 741

Given numbers are 130, 486, 314, 739
The greatest common divisor of numbers 130, 486, 314, 739 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 486, 314, 739 is 1.

1. What is the GCD of 130, 486, 314, 739?

GCD of given numbers 130, 486, 314, 739 is 1

2. How to calculate the greatest common divisor of 130, 486, 314, 739?

We can find the highest common divisor of 130, 486, 314, 739 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 130, 486, 314, 739 i.e 1.

3. How can I use the GCD of 130, 486, 314, 739Calculator?

Out the numbers 130, 486, 314, 739 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.