GCD of 208, 143, 358, 349 Calculator

Given Input numbers are 208, 143, 358, 349

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

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 143 :

The positive integer divisors of 143 that completely divides 143 are.

1, 11, 13, 143

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

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 (208, 143, 358, 349) = 1.

Given numbers are 208, 143, 358, 349

The list of prime factors of all numbers are

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

Prime factors of 143 are 11 x 13

Prime factors of 358 are 2 x 179

Prime factors of 349 are 349

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

Given numbers are 208, 143, 358, 349

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

Apply this formula for all numbers.

Step1:

LCM(208, 143) = 2288

GCD(208, 143) = ( 208 x 143 ) / 2288

= 208 / 143

= 208

Step2:

LCM(13, 358) = 4654

GCD(13, 358) = ( 13 x 358 ) / 4654

= 13 / 358

= 13

Step3:

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

= 1 / 349

= 1

So, Greatest Common Divisor of 208, 143, 358, 349 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 632, 288, 736, 250
• GCD of 529, 346, 632, 283
• GCD of 726, 552, 658, 217
• GCD of 430, 455, 652, 468
• GCD of 804, 449, 328, 945

Given numbers are 208, 143, 358, 349
The greatest common divisor of numbers 208, 143, 358, 349 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 143, 358, 349 is 1.

1. What is the GCD of 208, 143, 358, 349?

GCD of given numbers 208, 143, 358, 349 is 1

2. How to calculate the greatest common divisor of 208, 143, 358, 349?

We can find the highest common divisor of 208, 143, 358, 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 208, 143, 358, 349 i.e 1.

3. How can I use the GCD of 208, 143, 358, 349Calculator?

Out the numbers 208, 143, 358, 349 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.