GCD of 138, 308, 470, 294 Calculator

Given Input numbers are 138, 308, 470, 294

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

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

GCD of numbers is the greatest common divisor

So, the GCD (138, 308, 470, 294) = 2.

Given numbers are 138, 308, 470, 294

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 470 are 2 x 5 x 47

Prime factors of 294 are 2 x 3 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 138, 308, 470, 294 is 2.

Given numbers are 138, 308, 470, 294

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

Apply this formula for all numbers.

Step1:

LCM(138, 308) = 21252

GCD(138, 308) = ( 138 x 308 ) / 21252

= 138 / 308

= 138

Step2:

LCM(2, 470) = 470

GCD(2, 470) = ( 2 x 470 ) / 470

= 2 / 470

= 2

Step3:

LCM(2, 294) = 294

GCD(2, 294) = ( 2 x 294 ) / 294

= 2 / 294

= 2

So, Greatest Common Divisor of 138, 308, 470, 294 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 821, 378, 547, 624
• GCD of 233, 710, 599, 269
• GCD of 854, 829, 413, 154
• GCD of 495, 396, 874, 517
• GCD of 258, 986, 382, 273

Given numbers are 138, 308, 470, 294
The greatest common divisor of numbers 138, 308, 470, 294 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 308, 470, 294 is 2.

1. What is the GCD of 138, 308, 470, 294?

GCD of given numbers 138, 308, 470, 294 is 2

2. How to calculate the greatest common divisor of 138, 308, 470, 294?

We can find the highest common divisor of 138, 308, 470, 294 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 138, 308, 470, 294 i.e 2.

3. How can I use the GCD of 138, 308, 470, 294Calculator?

Out the numbers 138, 308, 470, 294 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.