GCD of 497, 438, 723, 742 Calculator

Given Input numbers are 497, 438, 723, 742

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

Divisors of 497 :

The positive integer divisors of 497 that completely divides 497 are.

1, 7, 71, 497

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 723 :

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

1, 3, 241, 723

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

GCD of numbers is the greatest common divisor

So, the GCD (497, 438, 723, 742) = 1.

Given numbers are 497, 438, 723, 742

The list of prime factors of all numbers are

Prime factors of 497 are 7 x 71

Prime factors of 438 are 2 x 3 x 73

Prime factors of 723 are 3 x 241

Prime factors of 742 are 2 x 7 x 53

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

Given numbers are 497, 438, 723, 742

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

Apply this formula for all numbers.

Step1:

LCM(497, 438) = 217686

GCD(497, 438) = ( 497 x 438 ) / 217686

= 497 / 438

= 497

Step2:

LCM(1, 723) = 723

GCD(1, 723) = ( 1 x 723 ) / 723

= 1 / 723

= 1

Step3:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1

So, Greatest Common Divisor of 497, 438, 723, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 773, 903, 748, 609
• GCD of 713, 283, 675, 847
• GCD of 258, 116, 675, 914
• GCD of 349, 407, 104, 144
• GCD of 185, 966, 818, 942

Given numbers are 497, 438, 723, 742
The greatest common divisor of numbers 497, 438, 723, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 497, 438, 723, 742 is 1.

1. What is the GCD of 497, 438, 723, 742?

GCD of given numbers 497, 438, 723, 742 is 1

2. How to calculate the greatest common divisor of 497, 438, 723, 742?

We can find the highest common divisor of 497, 438, 723, 742 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 497, 438, 723, 742 i.e 1.

3. How can I use the GCD of 497, 438, 723, 742Calculator?

Out the numbers 497, 438, 723, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.