GCD of 704, 272, 407, 644 Calculator

Given Input numbers are 704, 272, 407, 644

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 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 407 :

The positive integer divisors of 407 that completely divides 407 are.

1, 11, 37, 407

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

GCD of numbers is the greatest common divisor

So, the GCD (704, 272, 407, 644) = 1.

Given numbers are 704, 272, 407, 644

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 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 407 are 11 x 37

Prime factors of 644 are 2 x 2 x 7 x 23

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

Given numbers are 704, 272, 407, 644

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

Apply this formula for all numbers.

Step1:

LCM(704, 272) = 11968

GCD(704, 272) = ( 704 x 272 ) / 11968

= 704 / 272

= 704

Step2:

LCM(16, 407) = 6512

GCD(16, 407) = ( 16 x 407 ) / 6512

= 16 / 407

= 16

Step3:

LCM(1, 644) = 644

GCD(1, 644) = ( 1 x 644 ) / 644

= 1 / 644

= 1

So, Greatest Common Divisor of 704, 272, 407, 644 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 656, 392, 765, 164
• GCD of 543, 258, 993, 512
• GCD of 654, 495, 614, 219
• GCD of 919, 375, 621, 341
• GCD of 333, 204, 781, 906

Given numbers are 704, 272, 407, 644
The greatest common divisor of numbers 704, 272, 407, 644 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 272, 407, 644 is 1.

1. What is the GCD of 704, 272, 407, 644?

GCD of given numbers 704, 272, 407, 644 is 1

2. How to calculate the greatest common divisor of 704, 272, 407, 644?

We can find the highest common divisor of 704, 272, 407, 644 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, 272, 407, 644 i.e 1.

3. How can I use the GCD of 704, 272, 407, 644Calculator?

Out the numbers 704, 272, 407, 644 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.