GCD of 725, 578, 438 Calculator

Given Input numbers are 725, 578, 438

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

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

Divisors of 578 :

The positive integer divisors of 578 that completely divides 578 are.

1, 2, 17, 34, 289, 578

Divisors of 438 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (725, 578, 438) = 1.

Given numbers are 725, 578, 438

The list of prime factors of all numbers are

Prime factors of 725 are 5 x 5 x 29

Prime factors of 578 are 2 x 17 x 17

Prime factors of 438 are 2 x 3 x 73

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

Given numbers are 725, 578, 438

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

Apply this formula for all numbers.

Step1:

LCM(725, 578) = 419050

GCD(725, 578) = ( 725 x 578 ) / 419050

= 725 / 578

= 725

Step2:

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

= 1 / 438

= 1

So, Greatest Common Divisor of 725, 578, 438 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 988, 473, 822
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Given numbers are 725, 578, 438
The greatest common divisor of numbers 725, 578, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 725, 578, 438 is 1.

1. What is the GCD of 725, 578, 438?

GCD of given numbers 725, 578, 438 is 1

2. How to calculate the greatest common divisor of 725, 578, 438?

We can find the highest common divisor of 725, 578, 438 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 725, 578, 438 i.e 1.

3. How can I use the GCD of 725, 578, 438Calculator?

Out the numbers 725, 578, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.