GCD of 138, 310, 249, 782 Calculator

Given Input numbers are 138, 310, 249, 782

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 310 :

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

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

Divisors of 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

GCD of numbers is the greatest common divisor

So, the GCD (138, 310, 249, 782) = 1.

Given numbers are 138, 310, 249, 782

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 310 are 2 x 5 x 31

Prime factors of 249 are 3 x 83

Prime factors of 782 are 2 x 17 x 23

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 138, 310, 249, 782

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

Apply this formula for all numbers.

Step1:

LCM(138, 310) = 21390

GCD(138, 310) = ( 138 x 310 ) / 21390

= 138 / 310

= 138

Step2:

LCM(2, 249) = 498

GCD(2, 249) = ( 2 x 249 ) / 498

= 2 / 249

= 2

Step3:

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

= 1 / 782

= 1

So, Greatest Common Divisor of 138, 310, 249, 782 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 372, 410, 236, 578
• GCD of 480, 468, 304, 624
• GCD of 480, 414, 345, 681
• GCD of 295, 962, 311, 685
• GCD of 184, 556, 230, 710

Given numbers are 138, 310, 249, 782
The greatest common divisor of numbers 138, 310, 249, 782 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 310, 249, 782 is 1.

1. What is the GCD of 138, 310, 249, 782?

GCD of given numbers 138, 310, 249, 782 is 1

2. How to calculate the greatest common divisor of 138, 310, 249, 782?

We can find the highest common divisor of 138, 310, 249, 782 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, 310, 249, 782 i.e 1.

3. How can I use the GCD of 138, 310, 249, 782Calculator?

Out the numbers 138, 310, 249, 782 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.