GCD of 723, 435, 893, 138 Calculator

Given Input numbers are 723, 435, 893, 138

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

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 435 :

The positive integer divisors of 435 that completely divides 435 are.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 893 :

The positive integer divisors of 893 that completely divides 893 are.

1, 19, 47, 893

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 (723, 435, 893, 138) = 1.

Given numbers are 723, 435, 893, 138

The list of prime factors of all numbers are

Prime factors of 723 are 3 x 241

Prime factors of 435 are 3 x 5 x 29

Prime factors of 893 are 19 x 47

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 723, 435, 893, 138

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

Apply this formula for all numbers.

Step1:

LCM(723, 435) = 104835

GCD(723, 435) = ( 723 x 435 ) / 104835

= 723 / 435

= 723

Step2:

LCM(3, 893) = 2679

GCD(3, 893) = ( 3 x 893 ) / 2679

= 3 / 893

= 3

Step3:

LCM(1, 138) = 138

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

= 1 / 138

= 1

So, Greatest Common Divisor of 723, 435, 893, 138 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 184, 400, 128, 665
• GCD of 456, 839, 969, 185
• GCD of 878, 257, 951, 202
• GCD of 438, 655, 571, 333
• GCD of 913, 967, 743, 308

Given numbers are 723, 435, 893, 138
The greatest common divisor of numbers 723, 435, 893, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 435, 893, 138 is 1.

1. What is the GCD of 723, 435, 893, 138?

GCD of given numbers 723, 435, 893, 138 is 1

2. How to calculate the greatest common divisor of 723, 435, 893, 138?

We can find the highest common divisor of 723, 435, 893, 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 723, 435, 893, 138 i.e 1.

3. How can I use the GCD of 723, 435, 893, 138Calculator?

Out the numbers 723, 435, 893, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.