GCD of 704, 784, 949, 209 Calculator

Given Input numbers are 704, 784, 949, 209

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 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 949 :

The positive integer divisors of 949 that completely divides 949 are.

1, 13, 73, 949

Divisors of 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

GCD of numbers is the greatest common divisor

So, the GCD (704, 784, 949, 209) = 1.

Given numbers are 704, 784, 949, 209

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 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 949 are 13 x 73

Prime factors of 209 are 11 x 19

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

Given numbers are 704, 784, 949, 209

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

Apply this formula for all numbers.

Step1:

LCM(704, 784) = 34496

GCD(704, 784) = ( 704 x 784 ) / 34496

= 704 / 784

= 704

Step2:

LCM(16, 949) = 15184

GCD(16, 949) = ( 16 x 949 ) / 15184

= 16 / 949

= 16

Step3:

LCM(1, 209) = 209

GCD(1, 209) = ( 1 x 209 ) / 209

= 1 / 209

= 1

So, Greatest Common Divisor of 704, 784, 949, 209 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 307, 652, 573, 113
• GCD of 557, 275, 543, 358
• GCD of 837, 106, 135, 330
• GCD of 868, 231, 117, 580
• GCD of 295, 476, 601, 958

Given numbers are 704, 784, 949, 209
The greatest common divisor of numbers 704, 784, 949, 209 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 784, 949, 209 is 1.

1. What is the GCD of 704, 784, 949, 209?

GCD of given numbers 704, 784, 949, 209 is 1

2. How to calculate the greatest common divisor of 704, 784, 949, 209?

We can find the highest common divisor of 704, 784, 949, 209 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, 784, 949, 209 i.e 1.

3. How can I use the GCD of 704, 784, 949, 209Calculator?

Out the numbers 704, 784, 949, 209 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.