GCD of 814, 643, 733, 138 Calculator

Given Input numbers are 814, 643, 733, 138

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

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 643 :

The positive integer divisors of 643 that completely divides 643 are.

1, 643

Divisors of 733 :

The positive integer divisors of 733 that completely divides 733 are.

1, 733

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 (814, 643, 733, 138) = 1.

Given numbers are 814, 643, 733, 138

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 643 are 643

Prime factors of 733 are 733

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 814, 643, 733, 138

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

Apply this formula for all numbers.

Step1:

LCM(814, 643) = 523402

GCD(814, 643) = ( 814 x 643 ) / 523402

= 814 / 643

= 814

Step2:

LCM(1, 733) = 733

GCD(1, 733) = ( 1 x 733 ) / 733

= 1 / 733

= 1

Step3:

LCM(1, 138) = 138

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

= 1 / 138

= 1

So, Greatest Common Divisor of 814, 643, 733, 138 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 423, 920, 744, 371
• GCD of 384, 909, 566, 916
• GCD of 749, 803, 773, 427
• GCD of 933, 219, 927, 330
• GCD of 814, 676, 665, 242

Given numbers are 814, 643, 733, 138
The greatest common divisor of numbers 814, 643, 733, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 643, 733, 138 is 1.

1. What is the GCD of 814, 643, 733, 138?

GCD of given numbers 814, 643, 733, 138 is 1

2. How to calculate the greatest common divisor of 814, 643, 733, 138?

We can find the highest common divisor of 814, 643, 733, 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 814, 643, 733, 138 i.e 1.

3. How can I use the GCD of 814, 643, 733, 138Calculator?

Out the numbers 814, 643, 733, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.