GCD of 180, 982, 825, 704 Calculator

Given Input numbers are 180, 982, 825, 704

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

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982

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

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

GCD of numbers is the greatest common divisor

So, the GCD (180, 982, 825, 704) = 1.

Given numbers are 180, 982, 825, 704

The list of prime factors of all numbers are

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 982 are 2 x 491

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

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

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

Given numbers are 180, 982, 825, 704

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

Apply this formula for all numbers.

Step1:

LCM(180, 982) = 88380

GCD(180, 982) = ( 180 x 982 ) / 88380

= 180 / 982

= 180

Step2:

LCM(2, 825) = 1650

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

= 2 / 825

= 2

Step3:

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

= 1 / 704

= 1

So, Greatest Common Divisor of 180, 982, 825, 704 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 216, 982, 640, 751
• GCD of 246, 671, 116, 790
• GCD of 811, 766, 311, 850
• GCD of 963, 631, 569, 891
• GCD of 962, 449, 299, 957

Given numbers are 180, 982, 825, 704
The greatest common divisor of numbers 180, 982, 825, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 982, 825, 704 is 1.

1. What is the GCD of 180, 982, 825, 704?

GCD of given numbers 180, 982, 825, 704 is 1

2. How to calculate the greatest common divisor of 180, 982, 825, 704?

We can find the highest common divisor of 180, 982, 825, 704 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 180, 982, 825, 704 i.e 1.

3. How can I use the GCD of 180, 982, 825, 704Calculator?

Out the numbers 180, 982, 825, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.