GCD of 314, 738, 164, 130 Calculator

Given Input numbers are 314, 738, 164, 130

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

Divisors of 314 :

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

1, 2, 157, 314

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 130 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (314, 738, 164, 130) = 2.

Given numbers are 314, 738, 164, 130

The list of prime factors of all numbers are

Prime factors of 314 are 2 x 157

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 164 are 2 x 2 x 41

Prime factors of 130 are 2 x 5 x 13

The highest common occurrence is 2¹

Therefore, GCD of 314, 738, 164, 130 is 2.

Given numbers are 314, 738, 164, 130

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

Apply this formula for all numbers.

Step1:

LCM(314, 738) = 115866

GCD(314, 738) = ( 314 x 738 ) / 115866

= 314 / 738

= 314

Step2:

LCM(2, 164) = 164

GCD(2, 164) = ( 2 x 164 ) / 164

= 2 / 164

= 2

Step3:

LCM(2, 130) = 130

GCD(2, 130) = ( 2 x 130 ) / 130

= 2 / 130

= 2

So, Greatest Common Divisor of 314, 738, 164, 130 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 171, 921, 487, 967
• GCD of 908, 588, 614, 618
• GCD of 781, 224, 531, 832
• GCD of 414, 267, 823, 640
• GCD of 441, 840, 243, 635

Given numbers are 314, 738, 164, 130
The greatest common divisor of numbers 314, 738, 164, 130 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 314, 738, 164, 130 is 2.

1. What is the GCD of 314, 738, 164, 130?

GCD of given numbers 314, 738, 164, 130 is 2

2. How to calculate the greatest common divisor of 314, 738, 164, 130?

We can find the highest common divisor of 314, 738, 164, 130 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 314, 738, 164, 130 i.e 2.

3. How can I use the GCD of 314, 738, 164, 130Calculator?

Out the numbers 314, 738, 164, 130 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.