GCD of 924, 310, 343, 206 Calculator

Given Input numbers are 924, 310, 343, 206

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

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 343 :

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

1, 7, 49, 343

Divisors of 206 :

The positive integer divisors of 206 that completely divides 206 are.

1, 2, 103, 206

GCD of numbers is the greatest common divisor

So, the GCD (924, 310, 343, 206) = 1.

Given numbers are 924, 310, 343, 206

The list of prime factors of all numbers are

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

Prime factors of 310 are 2 x 5 x 31

Prime factors of 343 are 7 x 7 x 7

Prime factors of 206 are 2 x 103

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

Given numbers are 924, 310, 343, 206

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

Apply this formula for all numbers.

Step1:

LCM(924, 310) = 143220

GCD(924, 310) = ( 924 x 310 ) / 143220

= 924 / 310

= 924

Step2:

LCM(2, 343) = 686

GCD(2, 343) = ( 2 x 343 ) / 686

= 2 / 343

= 2

Step3:

LCM(1, 206) = 206

GCD(1, 206) = ( 1 x 206 ) / 206

= 1 / 206

= 1

So, Greatest Common Divisor of 924, 310, 343, 206 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 309, 236, 549, 671
• GCD of 499, 358, 146, 637
• GCD of 184, 130, 354, 987
• GCD of 348, 724, 400, 469
• GCD of 792, 700, 506, 303

Given numbers are 924, 310, 343, 206
The greatest common divisor of numbers 924, 310, 343, 206 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 310, 343, 206 is 1.

1. What is the GCD of 924, 310, 343, 206?

GCD of given numbers 924, 310, 343, 206 is 1

2. How to calculate the greatest common divisor of 924, 310, 343, 206?

We can find the highest common divisor of 924, 310, 343, 206 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 924, 310, 343, 206 i.e 1.

3. How can I use the GCD of 924, 310, 343, 206Calculator?

Out the numbers 924, 310, 343, 206 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.