GCD of 808, 400, 676, 349 Calculator

Given Input numbers are 808, 400, 676, 349

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

Divisors of 808 :

The positive integer divisors of 808 that completely divides 808 are.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

GCD of numbers is the greatest common divisor

So, the GCD (808, 400, 676, 349) = 1.

Given numbers are 808, 400, 676, 349

The list of prime factors of all numbers are

Prime factors of 808 are 2 x 2 x 2 x 101

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 349 are 349

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

Given numbers are 808, 400, 676, 349

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

Apply this formula for all numbers.

Step1:

LCM(808, 400) = 40400

GCD(808, 400) = ( 808 x 400 ) / 40400

= 808 / 400

= 808

Step2:

LCM(8, 676) = 1352

GCD(8, 676) = ( 8 x 676 ) / 1352

= 8 / 676

= 8

Step3:

LCM(4, 349) = 1396

GCD(4, 349) = ( 4 x 349 ) / 1396

= 4 / 349

= 4

So, Greatest Common Divisor of 808, 400, 676, 349 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 919, 896, 295, 784
• GCD of 462, 612, 494, 801
• GCD of 173, 776, 637, 140
• GCD of 787, 594, 120, 933
• GCD of 596, 645, 708, 466

Given numbers are 808, 400, 676, 349
The greatest common divisor of numbers 808, 400, 676, 349 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 808, 400, 676, 349 is 1.

1. What is the GCD of 808, 400, 676, 349?

GCD of given numbers 808, 400, 676, 349 is 1

2. How to calculate the greatest common divisor of 808, 400, 676, 349?

We can find the highest common divisor of 808, 400, 676, 349 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 808, 400, 676, 349 i.e 1.

3. How can I use the GCD of 808, 400, 676, 349Calculator?

Out the numbers 808, 400, 676, 349 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.