GCD of 138, 314, 730 Calculator

Given Input numbers are 138, 314, 730

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 314 :

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

1, 2, 157, 314

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

GCD of numbers is the greatest common divisor

So, the GCD (138, 314, 730) = 2.

Given numbers are 138, 314, 730

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 314 are 2 x 157

Prime factors of 730 are 2 x 5 x 73

The highest common occurrence is 2¹

Therefore, GCD of 138, 314, 730 is 2.

Given numbers are 138, 314, 730

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

Apply this formula for all numbers.

Step1:

LCM(138, 314) = 21666

GCD(138, 314) = ( 138 x 314 ) / 21666

= 138 / 314

= 138

Step2:

LCM(2, 730) = 730

GCD(2, 730) = ( 2 x 730 ) / 730

= 2 / 730

= 2

So, Greatest Common Divisor of 138, 314, 730 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 151, 342, 641
• GCD of 476, 376, 705
• GCD of 544, 878, 111
• GCD of 385, 557, 858
• GCD of 443, 802, 795

Given numbers are 138, 314, 730
The greatest common divisor of numbers 138, 314, 730 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 314, 730 is 2.

1. What is the GCD of 138, 314, 730?

GCD of given numbers 138, 314, 730 is 2

2. How to calculate the greatest common divisor of 138, 314, 730?

We can find the highest common divisor of 138, 314, 730 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, 314, 730 i.e 2.

3. How can I use the GCD of 138, 314, 730Calculator?

Out the numbers 138, 314, 730 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.