GCD of 724, 425, 758, 493 Calculator

Given Input numbers are 724, 425, 758, 493

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

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 425 :

The positive integer divisors of 425 that completely divides 425 are.

1, 5, 17, 25, 85, 425

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

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 (724, 425, 758, 493) = 1.

Given numbers are 724, 425, 758, 493

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 425 are 5 x 5 x 17

Prime factors of 758 are 2 x 379

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 724, 425, 758, 493

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

Apply this formula for all numbers.

Step1:

LCM(724, 425) = 307700

GCD(724, 425) = ( 724 x 425 ) / 307700

= 724 / 425

= 724

Step2:

LCM(1, 758) = 758

GCD(1, 758) = ( 1 x 758 ) / 758

= 1 / 758

= 1

Step3:

LCM(1, 493) = 493

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

= 1 / 493

= 1

So, Greatest Common Divisor of 724, 425, 758, 493 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 108, 485, 528, 896
• GCD of 494, 873, 642, 421
• GCD of 346, 262, 746, 137
• GCD of 881, 727, 508, 602
• GCD of 221, 234, 735, 690

Given numbers are 724, 425, 758, 493
The greatest common divisor of numbers 724, 425, 758, 493 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 425, 758, 493 is 1.

1. What is the GCD of 724, 425, 758, 493?

GCD of given numbers 724, 425, 758, 493 is 1

2. How to calculate the greatest common divisor of 724, 425, 758, 493?

We can find the highest common divisor of 724, 425, 758, 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 724, 425, 758, 493 i.e 1.

3. How can I use the GCD of 724, 425, 758, 493Calculator?

Out the numbers 724, 425, 758, 493 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.