GCD of 896, 689, 872, 725 Calculator

Given Input numbers are 896, 689, 872, 725

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

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

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 (896, 689, 872, 725) = 1.

Given numbers are 896, 689, 872, 725

The list of prime factors of all numbers are

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 689 are 13 x 53

Prime factors of 872 are 2 x 2 x 2 x 109

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 896, 689, 872, 725

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

Apply this formula for all numbers.

Step1:

LCM(896, 689) = 617344

GCD(896, 689) = ( 896 x 689 ) / 617344

= 896 / 689

= 896

Step2:

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

= 1 / 872

= 1

Step3:

LCM(1, 725) = 725

GCD(1, 725) = ( 1 x 725 ) / 725

= 1 / 725

= 1

So, Greatest Common Divisor of 896, 689, 872, 725 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 447, 165, 890, 752
• GCD of 297, 831, 265, 613
• GCD of 785, 190, 994, 468
• GCD of 322, 499, 867, 920
• GCD of 188, 447, 412, 546

Given numbers are 896, 689, 872, 725
The greatest common divisor of numbers 896, 689, 872, 725 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 896, 689, 872, 725 is 1.

1. What is the GCD of 896, 689, 872, 725?

GCD of given numbers 896, 689, 872, 725 is 1

2. How to calculate the greatest common divisor of 896, 689, 872, 725?

We can find the highest common divisor of 896, 689, 872, 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 896, 689, 872, 725 i.e 1.

3. How can I use the GCD of 896, 689, 872, 725Calculator?

Out the numbers 896, 689, 872, 725 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.