GCD of 725, 638, 605, 966 Calculator

Given Input numbers are 725, 638, 605, 966

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 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 605 :

The positive integer divisors of 605 that completely divides 605 are.

1, 5, 11, 55, 121, 605

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

GCD of numbers is the greatest common divisor

So, the GCD (725, 638, 605, 966) = 1.

Given numbers are 725, 638, 605, 966

The list of prime factors of all numbers are

Prime factors of 725 are 5 x 5 x 29

Prime factors of 638 are 2 x 11 x 29

Prime factors of 605 are 5 x 11 x 11

Prime factors of 966 are 2 x 3 x 7 x 23

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

Given numbers are 725, 638, 605, 966

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

Apply this formula for all numbers.

Step1:

LCM(725, 638) = 15950

GCD(725, 638) = ( 725 x 638 ) / 15950

= 725 / 638

= 725

Step2:

LCM(29, 605) = 17545

GCD(29, 605) = ( 29 x 605 ) / 17545

= 29 / 605

= 29

Step3:

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

= 1 / 966

= 1

So, Greatest Common Divisor of 725, 638, 605, 966 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 132, 610, 678, 657
• GCD of 208, 875, 396, 664
• GCD of 539, 301, 539, 112
• GCD of 383, 237, 689, 995
• GCD of 324, 478, 912, 247

Given numbers are 725, 638, 605, 966
The greatest common divisor of numbers 725, 638, 605, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 725, 638, 605, 966 is 1.

1. What is the GCD of 725, 638, 605, 966?

GCD of given numbers 725, 638, 605, 966 is 1

2. How to calculate the greatest common divisor of 725, 638, 605, 966?

We can find the highest common divisor of 725, 638, 605, 966 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, 638, 605, 966 i.e 1.

3. How can I use the GCD of 725, 638, 605, 966Calculator?

Out the numbers 725, 638, 605, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.