GCD of 138, 382, 294, 910 Calculator

Given Input numbers are 138, 382, 294, 910

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 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

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

Divisors of 910 :

The positive integer divisors of 910 that completely divides 910 are.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

GCD of numbers is the greatest common divisor

So, the GCD (138, 382, 294, 910) = 2.

Given numbers are 138, 382, 294, 910

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 382 are 2 x 191

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

Prime factors of 910 are 2 x 5 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 138, 382, 294, 910 is 2.

Given numbers are 138, 382, 294, 910

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

Apply this formula for all numbers.

Step1:

LCM(138, 382) = 26358

GCD(138, 382) = ( 138 x 382 ) / 26358

= 138 / 382

= 138

Step2:

LCM(2, 294) = 294

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

= 2 / 294

= 2

Step3:

LCM(2, 910) = 910

GCD(2, 910) = ( 2 x 910 ) / 910

= 2 / 910

= 2

So, Greatest Common Divisor of 138, 382, 294, 910 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 419, 229, 516, 193
• GCD of 356, 341, 318, 838
• GCD of 393, 143, 212, 786
• GCD of 503, 499, 447, 509
• GCD of 444, 156, 828, 292

Given numbers are 138, 382, 294, 910
The greatest common divisor of numbers 138, 382, 294, 910 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 382, 294, 910 is 2.

1. What is the GCD of 138, 382, 294, 910?

GCD of given numbers 138, 382, 294, 910 is 2

2. How to calculate the greatest common divisor of 138, 382, 294, 910?

We can find the highest common divisor of 138, 382, 294, 910 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, 382, 294, 910 i.e 2.

3. How can I use the GCD of 138, 382, 294, 910Calculator?

Out the numbers 138, 382, 294, 910 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.