GCD of 746, 310, 999, 138 Calculator

Given Input numbers are 746, 310, 999, 138

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

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 310 :

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

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

Divisors of 999 :

The positive integer divisors of 999 that completely divides 999 are.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 138 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (746, 310, 999, 138) = 1.

Given numbers are 746, 310, 999, 138

The list of prime factors of all numbers are

Prime factors of 746 are 2 x 373

Prime factors of 310 are 2 x 5 x 31

Prime factors of 999 are 3 x 3 x 3 x 37

Prime factors of 138 are 2 x 3 x 23

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

Given numbers are 746, 310, 999, 138

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

Apply this formula for all numbers.

Step1:

LCM(746, 310) = 115630

GCD(746, 310) = ( 746 x 310 ) / 115630

= 746 / 310

= 746

Step2:

LCM(2, 999) = 1998

GCD(2, 999) = ( 2 x 999 ) / 1998

= 2 / 999

= 2

Step3:

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

= 1 / 138

= 1

So, Greatest Common Divisor of 746, 310, 999, 138 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 605, 366, 181, 561
• GCD of 466, 880, 779, 705
• GCD of 403, 785, 576, 440
• GCD of 225, 361, 409, 470
• GCD of 659, 173, 532, 474

Given numbers are 746, 310, 999, 138
The greatest common divisor of numbers 746, 310, 999, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 310, 999, 138 is 1.

1. What is the GCD of 746, 310, 999, 138?

GCD of given numbers 746, 310, 999, 138 is 1

2. How to calculate the greatest common divisor of 746, 310, 999, 138?

We can find the highest common divisor of 746, 310, 999, 138 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 746, 310, 999, 138 i.e 1.

3. How can I use the GCD of 746, 310, 999, 138Calculator?

Out the numbers 746, 310, 999, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.