GCD of 784, 208, 664, 421 Calculator

Given Input numbers are 784, 208, 664, 421

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

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 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 421 :

The positive integer divisors of 421 that completely divides 421 are.

1, 421

GCD of numbers is the greatest common divisor

So, the GCD (784, 208, 664, 421) = 1.

Given numbers are 784, 208, 664, 421

The list of prime factors of all numbers are

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 664 are 2 x 2 x 2 x 83

Prime factors of 421 are 421

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

Given numbers are 784, 208, 664, 421

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

Apply this formula for all numbers.

Step1:

LCM(784, 208) = 10192

GCD(784, 208) = ( 784 x 208 ) / 10192

= 784 / 208

= 784

Step2:

LCM(16, 664) = 1328

GCD(16, 664) = ( 16 x 664 ) / 1328

= 16 / 664

= 16

Step3:

LCM(8, 421) = 3368

GCD(8, 421) = ( 8 x 421 ) / 3368

= 8 / 421

= 8

So, Greatest Common Divisor of 784, 208, 664, 421 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 510, 925, 746, 692
• GCD of 221, 629, 809, 330
• GCD of 552, 999, 912, 876
• GCD of 537, 210, 175, 865
• GCD of 610, 166, 902, 409

Given numbers are 784, 208, 664, 421
The greatest common divisor of numbers 784, 208, 664, 421 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 208, 664, 421 is 1.

1. What is the GCD of 784, 208, 664, 421?

GCD of given numbers 784, 208, 664, 421 is 1

2. How to calculate the greatest common divisor of 784, 208, 664, 421?

We can find the highest common divisor of 784, 208, 664, 421 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 784, 208, 664, 421 i.e 1.

3. How can I use the GCD of 784, 208, 664, 421Calculator?

Out the numbers 784, 208, 664, 421 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.