GCD of 314, 130, 118 Calculator

Given Input numbers are 314, 130, 118

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 130 :

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

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

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

GCD of numbers is the greatest common divisor

So, the GCD (314, 130, 118) = 2.

Given numbers are 314, 130, 118

The list of prime factors of all numbers are

Prime factors of 314 are 2 x 157

Prime factors of 130 are 2 x 5 x 13

Prime factors of 118 are 2 x 59

The highest common occurrence is 2¹

Therefore, GCD of 314, 130, 118 is 2.

Given numbers are 314, 130, 118

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

Apply this formula for all numbers.

Step1:

LCM(314, 130) = 20410

GCD(314, 130) = ( 314 x 130 ) / 20410

= 314 / 130

= 314

Step2:

LCM(2, 118) = 118

GCD(2, 118) = ( 2 x 118 ) / 118

= 2 / 118

= 2

So, Greatest Common Divisor of 314, 130, 118 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 588, 698, 499
• GCD of 753, 665, 792
• GCD of 903, 546, 199
• GCD of 448, 760, 539
• GCD of 748, 461, 212

Given numbers are 314, 130, 118
The greatest common divisor of numbers 314, 130, 118 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 314, 130, 118 is 2.

1. What is the GCD of 314, 130, 118?

GCD of given numbers 314, 130, 118 is 2

2. How to calculate the greatest common divisor of 314, 130, 118?

We can find the highest common divisor of 314, 130, 118 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, 130, 118 i.e 2.

3. How can I use the GCD of 314, 130, 118Calculator?

Out the numbers 314, 130, 118 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.