GCD of 704, 294, 966, 201 Calculator

Given Input numbers are 704, 294, 966, 201

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 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 201 :

The positive integer divisors of 201 that completely divides 201 are.

1, 3, 67, 201

GCD of numbers is the greatest common divisor

So, the GCD (704, 294, 966, 201) = 1.

Given numbers are 704, 294, 966, 201

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 294 are 2 x 3 x 7 x 7

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 201 are 3 x 67

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

Given numbers are 704, 294, 966, 201

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

Apply this formula for all numbers.

Step1:

LCM(704, 294) = 103488

GCD(704, 294) = ( 704 x 294 ) / 103488

= 704 / 294

= 704

Step2:

LCM(2, 966) = 966

GCD(2, 966) = ( 2 x 966 ) / 966

= 2 / 966

= 2

Step3:

LCM(2, 201) = 402

GCD(2, 201) = ( 2 x 201 ) / 402

= 2 / 201

= 2

So, Greatest Common Divisor of 704, 294, 966, 201 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 845, 154, 101, 255
• GCD of 162, 120, 429, 474
• GCD of 642, 531, 926, 154
• GCD of 707, 745, 677, 482
• GCD of 362, 638, 425, 817

Given numbers are 704, 294, 966, 201
The greatest common divisor of numbers 704, 294, 966, 201 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 294, 966, 201 is 1.

1. What is the GCD of 704, 294, 966, 201?

GCD of given numbers 704, 294, 966, 201 is 1

2. How to calculate the greatest common divisor of 704, 294, 966, 201?

We can find the highest common divisor of 704, 294, 966, 201 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, 294, 966, 201 i.e 1.

3. How can I use the GCD of 704, 294, 966, 201Calculator?

Out the numbers 704, 294, 966, 201 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.