GCD of 325, 464, 493, 742 Calculator

Given Input numbers are 325, 464, 493, 742

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

Divisors of 325 :

The positive integer divisors of 325 that completely divides 325 are.

1, 5, 13, 25, 65, 325

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 493 :

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

1, 17, 29, 493

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 (325, 464, 493, 742) = 1.

Given numbers are 325, 464, 493, 742

The list of prime factors of all numbers are

Prime factors of 325 are 5 x 5 x 13

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 493 are 17 x 29

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 325, 464, 493, 742

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

Apply this formula for all numbers.

Step1:

LCM(325, 464) = 150800

GCD(325, 464) = ( 325 x 464 ) / 150800

= 325 / 464

= 325

Step2:

LCM(1, 493) = 493

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

= 1 / 493

= 1

Step3:

LCM(1, 742) = 742

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

= 1 / 742

= 1

So, Greatest Common Divisor of 325, 464, 493, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 404, 337, 229, 841
• GCD of 873, 160, 793, 277
• GCD of 914, 305, 705, 434
• GCD of 104, 516, 367, 623
• GCD of 597, 851, 606, 620

Given numbers are 325, 464, 493, 742
The greatest common divisor of numbers 325, 464, 493, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 325, 464, 493, 742 is 1.

1. What is the GCD of 325, 464, 493, 742?

GCD of given numbers 325, 464, 493, 742 is 1

2. How to calculate the greatest common divisor of 325, 464, 493, 742?

We can find the highest common divisor of 325, 464, 493, 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 325, 464, 493, 742 i.e 1.

3. How can I use the GCD of 325, 464, 493, 742Calculator?

Out the numbers 325, 464, 493, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.