GCD of 742, 335, 726, 493 Calculator

Given Input numbers are 742, 335, 726, 493

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

Divisors of 742 :

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

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

Divisors of 335 :

The positive integer divisors of 335 that completely divides 335 are.

1, 5, 67, 335

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

GCD of numbers is the greatest common divisor

So, the GCD (742, 335, 726, 493) = 1.

Given numbers are 742, 335, 726, 493

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 335 are 5 x 67

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 493 are 17 x 29

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

Given numbers are 742, 335, 726, 493

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

Apply this formula for all numbers.

Step1:

LCM(742, 335) = 248570

GCD(742, 335) = ( 742 x 335 ) / 248570

= 742 / 335

= 742

Step2:

LCM(1, 726) = 726

GCD(1, 726) = ( 1 x 726 ) / 726

= 1 / 726

= 1

Step3:

LCM(1, 493) = 493

GCD(1, 493) = ( 1 x 493 ) / 493

= 1 / 493

= 1

So, Greatest Common Divisor of 742, 335, 726, 493 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 445, 438, 818, 500
• GCD of 382, 368, 599, 742
• GCD of 468, 733, 141, 102
• GCD of 249, 819, 767, 393
• GCD of 752, 277, 913, 173

Given numbers are 742, 335, 726, 493
The greatest common divisor of numbers 742, 335, 726, 493 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 335, 726, 493 is 1.

1. What is the GCD of 742, 335, 726, 493?

GCD of given numbers 742, 335, 726, 493 is 1

2. How to calculate the greatest common divisor of 742, 335, 726, 493?

We can find the highest common divisor of 742, 335, 726, 493 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 742, 335, 726, 493 i.e 1.

3. How can I use the GCD of 742, 335, 726, 493Calculator?

Out the numbers 742, 335, 726, 493 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.