GCD of 330, 704, 980, 315 Calculator

Given Input numbers are 330, 704, 980, 315

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

Divisors of 330 :

The positive integer divisors of 330 that completely divides 330 are.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

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 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

GCD of numbers is the greatest common divisor

So, the GCD (330, 704, 980, 315) = 1.

Given numbers are 330, 704, 980, 315

The list of prime factors of all numbers are

Prime factors of 330 are 2 x 3 x 5 x 11

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

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 315 are 3 x 3 x 5 x 7

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

Given numbers are 330, 704, 980, 315

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

Apply this formula for all numbers.

Step1:

LCM(330, 704) = 10560

GCD(330, 704) = ( 330 x 704 ) / 10560

= 330 / 704

= 330

Step2:

LCM(22, 980) = 10780

GCD(22, 980) = ( 22 x 980 ) / 10780

= 22 / 980

= 22

Step3:

LCM(2, 315) = 630

GCD(2, 315) = ( 2 x 315 ) / 630

= 2 / 315

= 2

So, Greatest Common Divisor of 330, 704, 980, 315 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 191, 703, 952, 872
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Given numbers are 330, 704, 980, 315
The greatest common divisor of numbers 330, 704, 980, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 330, 704, 980, 315 is 1.

1. What is the GCD of 330, 704, 980, 315?

GCD of given numbers 330, 704, 980, 315 is 1

2. How to calculate the greatest common divisor of 330, 704, 980, 315?

We can find the highest common divisor of 330, 704, 980, 315 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 330, 704, 980, 315 i.e 1.

3. How can I use the GCD of 330, 704, 980, 315Calculator?

Out the numbers 330, 704, 980, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.