GCD of 138, 812, 294, 743 Calculator

Given Input numbers are 138, 812, 294, 743

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 812 :

The positive integer divisors of 812 that completely divides 812 are.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

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 743 :

The positive integer divisors of 743 that completely divides 743 are.

1, 743

GCD of numbers is the greatest common divisor

So, the GCD (138, 812, 294, 743) = 1.

Given numbers are 138, 812, 294, 743

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 812 are 2 x 2 x 7 x 29

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

Prime factors of 743 are 743

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

Given numbers are 138, 812, 294, 743

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

Apply this formula for all numbers.

Step1:

LCM(138, 812) = 56028

GCD(138, 812) = ( 138 x 812 ) / 56028

= 138 / 812

= 138

Step2:

LCM(2, 294) = 294

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

= 2 / 294

= 2

Step3:

LCM(2, 743) = 1486

GCD(2, 743) = ( 2 x 743 ) / 1486

= 2 / 743

= 2

So, Greatest Common Divisor of 138, 812, 294, 743 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 538, 398, 834, 896
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Given numbers are 138, 812, 294, 743
The greatest common divisor of numbers 138, 812, 294, 743 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 812, 294, 743 is 1.

1. What is the GCD of 138, 812, 294, 743?

GCD of given numbers 138, 812, 294, 743 is 1

2. How to calculate the greatest common divisor of 138, 812, 294, 743?

We can find the highest common divisor of 138, 812, 294, 743 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, 812, 294, 743 i.e 1.

3. How can I use the GCD of 138, 812, 294, 743Calculator?

Out the numbers 138, 812, 294, 743 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.