GCD of 130, 310, 144, 274 Calculator

Given Input numbers are 130, 310, 144, 274

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 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

GCD of numbers is the greatest common divisor

So, the GCD (130, 310, 144, 274) = 2.

Given numbers are 130, 310, 144, 274

The list of prime factors of all numbers are

Prime factors of 130 are 2 x 5 x 13

Prime factors of 310 are 2 x 5 x 31

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 274 are 2 x 137

The highest common occurrence is 2¹

Therefore, GCD of 130, 310, 144, 274 is 2.

Given numbers are 130, 310, 144, 274

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

Apply this formula for all numbers.

Step1:

LCM(130, 310) = 4030

GCD(130, 310) = ( 130 x 310 ) / 4030

= 130 / 310

= 130

Step2:

LCM(10, 144) = 720

GCD(10, 144) = ( 10 x 144 ) / 720

= 10 / 144

= 10

Step3:

LCM(2, 274) = 274

GCD(2, 274) = ( 2 x 274 ) / 274

= 2 / 274

= 2

So, Greatest Common Divisor of 130, 310, 144, 274 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 910, 552, 233, 695
• GCD of 663, 335, 108, 238
• GCD of 989, 125, 349, 289
• GCD of 280, 566, 970, 652
• GCD of 142, 631, 159, 782

Given numbers are 130, 310, 144, 274
The greatest common divisor of numbers 130, 310, 144, 274 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 310, 144, 274 is 2.

1. What is the GCD of 130, 310, 144, 274?

GCD of given numbers 130, 310, 144, 274 is 2

2. How to calculate the greatest common divisor of 130, 310, 144, 274?

We can find the highest common divisor of 130, 310, 144, 274 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, 310, 144, 274 i.e 2.

3. How can I use the GCD of 130, 310, 144, 274Calculator?

Out the numbers 130, 310, 144, 274 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.