GCD of 343, 564, 249 Calculator

Given Input numbers are 343, 564, 249

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

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

GCD of numbers is the greatest common divisor

So, the GCD (343, 564, 249) = 1.

Given numbers are 343, 564, 249

The list of prime factors of all numbers are

Prime factors of 343 are 7 x 7 x 7

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 249 are 3 x 83

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

Given numbers are 343, 564, 249

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

Apply this formula for all numbers.

Step1:

LCM(343, 564) = 193452

GCD(343, 564) = ( 343 x 564 ) / 193452

= 343 / 564

= 343

Step2:

LCM(1, 249) = 249

GCD(1, 249) = ( 1 x 249 ) / 249

= 1 / 249

= 1

So, Greatest Common Divisor of 343, 564, 249 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 838, 856, 854
• GCD of 913, 841, 658
• GCD of 669, 583, 114
• GCD of 946, 583, 479
• GCD of 368, 742, 409

Given numbers are 343, 564, 249
The greatest common divisor of numbers 343, 564, 249 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 343, 564, 249 is 1.

1. What is the GCD of 343, 564, 249?

GCD of given numbers 343, 564, 249 is 1

2. How to calculate the greatest common divisor of 343, 564, 249?

We can find the highest common divisor of 343, 564, 249 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 343, 564, 249 i.e 1.

3. How can I use the GCD of 343, 564, 249Calculator?

Out the numbers 343, 564, 249 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.