GCD of 706, 472, 432, 825 Calculator

Given Input numbers are 706, 472, 432, 825

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

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

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 (706, 472, 432, 825) = 1.

Given numbers are 706, 472, 432, 825

The list of prime factors of all numbers are

Prime factors of 706 are 2 x 353

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

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 706, 472, 432, 825

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

Apply this formula for all numbers.

Step1:

LCM(706, 472) = 166616

GCD(706, 472) = ( 706 x 472 ) / 166616

= 706 / 472

= 706

Step2:

LCM(2, 432) = 432

GCD(2, 432) = ( 2 x 432 ) / 432

= 2 / 432

= 2

Step3:

LCM(2, 825) = 1650

GCD(2, 825) = ( 2 x 825 ) / 1650

= 2 / 825

= 2

So, Greatest Common Divisor of 706, 472, 432, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 507, 411, 898, 718
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• GCD of 919, 350, 536, 596
• GCD of 395, 855, 962, 655
• GCD of 514, 178, 138, 152

Given numbers are 706, 472, 432, 825
The greatest common divisor of numbers 706, 472, 432, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 706, 472, 432, 825 is 1.

1. What is the GCD of 706, 472, 432, 825?

GCD of given numbers 706, 472, 432, 825 is 1

2. How to calculate the greatest common divisor of 706, 472, 432, 825?

We can find the highest common divisor of 706, 472, 432, 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 706, 472, 432, 825 i.e 1.

3. How can I use the GCD of 706, 472, 432, 825Calculator?

Out the numbers 706, 472, 432, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.