GCD of 722, 992, 638, 725 Calculator

Given Input numbers are 722, 992, 638, 725

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

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 638 :

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

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

Divisors of 725 :

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

1, 5, 25, 29, 145, 725

GCD of numbers is the greatest common divisor

So, the GCD (722, 992, 638, 725) = 1.

Given numbers are 722, 992, 638, 725

The list of prime factors of all numbers are

Prime factors of 722 are 2 x 19 x 19

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

Prime factors of 638 are 2 x 11 x 29

Prime factors of 725 are 5 x 5 x 29

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

Given numbers are 722, 992, 638, 725

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

Apply this formula for all numbers.

Step1:

LCM(722, 992) = 358112

GCD(722, 992) = ( 722 x 992 ) / 358112

= 722 / 992

= 722

Step2:

LCM(2, 638) = 638

GCD(2, 638) = ( 2 x 638 ) / 638

= 2 / 638

= 2

Step3:

LCM(2, 725) = 1450

GCD(2, 725) = ( 2 x 725 ) / 1450

= 2 / 725

= 2

So, Greatest Common Divisor of 722, 992, 638, 725 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 687, 158, 797, 192
• GCD of 924, 411, 150, 228
• GCD of 810, 984, 278, 937
• GCD of 183, 298, 802, 703
• GCD of 903, 691, 307, 364

Given numbers are 722, 992, 638, 725
The greatest common divisor of numbers 722, 992, 638, 725 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 722, 992, 638, 725 is 1.

1. What is the GCD of 722, 992, 638, 725?

GCD of given numbers 722, 992, 638, 725 is 1

2. How to calculate the greatest common divisor of 722, 992, 638, 725?

We can find the highest common divisor of 722, 992, 638, 725 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 722, 992, 638, 725 i.e 1.

3. How can I use the GCD of 722, 992, 638, 725Calculator?

Out the numbers 722, 992, 638, 725 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.