GCD of 725, 185, 742 Calculator

Given Input numbers are 725, 185, 742

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 185 :

The positive integer divisors of 185 that completely divides 185 are.

1, 5, 37, 185

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 (725, 185, 742) = 1.

Given numbers are 725, 185, 742

The list of prime factors of all numbers are

Prime factors of 725 are 5 x 5 x 29

Prime factors of 185 are 5 x 37

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 725, 185, 742

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

Apply this formula for all numbers.

Step1:

LCM(725, 185) = 26825

GCD(725, 185) = ( 725 x 185 ) / 26825

= 725 / 185

= 725

Step2:

LCM(5, 742) = 3710

GCD(5, 742) = ( 5 x 742 ) / 3710

= 5 / 742

= 5

So, Greatest Common Divisor of 725, 185, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 284, 560, 415
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Given numbers are 725, 185, 742
The greatest common divisor of numbers 725, 185, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 725, 185, 742 is 1.

1. What is the GCD of 725, 185, 742?

GCD of given numbers 725, 185, 742 is 1

2. How to calculate the greatest common divisor of 725, 185, 742?

We can find the highest common divisor of 725, 185, 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 725, 185, 742 i.e 1.

3. How can I use the GCD of 725, 185, 742Calculator?

Out the numbers 725, 185, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.