GCD of 704, 544, 175, 825 Calculator

Given Input numbers are 704, 544, 175, 825

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

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 544 :

The positive integer divisors of 544 that completely divides 544 are.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

GCD of numbers is the greatest common divisor

So, the GCD (704, 544, 175, 825) = 1.

Given numbers are 704, 544, 175, 825

The list of prime factors of all numbers are

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 544 are 2 x 2 x 2 x 2 x 2 x 17

Prime factors of 175 are 5 x 5 x 7

Prime factors of 825 are 3 x 5 x 5 x 11

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

Given numbers are 704, 544, 175, 825

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

Apply this formula for all numbers.

Step1:

LCM(704, 544) = 11968

GCD(704, 544) = ( 704 x 544 ) / 11968

= 704 / 544

= 704

Step2:

LCM(32, 175) = 5600

GCD(32, 175) = ( 32 x 175 ) / 5600

= 32 / 175

= 32

Step3:

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

= 1 / 825

= 1

So, Greatest Common Divisor of 704, 544, 175, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 144, 192, 584, 330
• GCD of 191, 520, 284, 626
• GCD of 560, 428, 810, 706
• GCD of 545, 632, 838, 225
• GCD of 850, 553, 769, 617

Given numbers are 704, 544, 175, 825
The greatest common divisor of numbers 704, 544, 175, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 544, 175, 825 is 1.

1. What is the GCD of 704, 544, 175, 825?

GCD of given numbers 704, 544, 175, 825 is 1

2. How to calculate the greatest common divisor of 704, 544, 175, 825?

We can find the highest common divisor of 704, 544, 175, 825 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 704, 544, 175, 825 i.e 1.

3. How can I use the GCD of 704, 544, 175, 825Calculator?

Out the numbers 704, 544, 175, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.