GCD of 725, 492, 578, 400 Calculator

Given Input numbers are 725, 492, 578, 400

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 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 578 :

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

1, 2, 17, 34, 289, 578

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

GCD of numbers is the greatest common divisor

So, the GCD (725, 492, 578, 400) = 1.

Given numbers are 725, 492, 578, 400

The list of prime factors of all numbers are

Prime factors of 725 are 5 x 5 x 29

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 578 are 2 x 17 x 17

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

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

Given numbers are 725, 492, 578, 400

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

Apply this formula for all numbers.

Step1:

LCM(725, 492) = 356700

GCD(725, 492) = ( 725 x 492 ) / 356700

= 725 / 492

= 725

Step2:

LCM(1, 578) = 578

GCD(1, 578) = ( 1 x 578 ) / 578

= 1 / 578

= 1

Step3:

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

= 1 / 400

= 1

So, Greatest Common Divisor of 725, 492, 578, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 625, 129, 761, 143
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Given numbers are 725, 492, 578, 400
The greatest common divisor of numbers 725, 492, 578, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 725, 492, 578, 400 is 1.

1. What is the GCD of 725, 492, 578, 400?

GCD of given numbers 725, 492, 578, 400 is 1

2. How to calculate the greatest common divisor of 725, 492, 578, 400?

We can find the highest common divisor of 725, 492, 578, 400 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, 492, 578, 400 i.e 1.

3. How can I use the GCD of 725, 492, 578, 400Calculator?

Out the numbers 725, 492, 578, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.