GCD of 343, 294, 676, 438 Calculator

Given Input numbers are 343, 294, 676, 438

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 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

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 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

GCD of numbers is the greatest common divisor

So, the GCD (343, 294, 676, 438) = 1.

Given numbers are 343, 294, 676, 438

The list of prime factors of all numbers are

Prime factors of 343 are 7 x 7 x 7

Prime factors of 294 are 2 x 3 x 7 x 7

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

Prime factors of 438 are 2 x 3 x 73

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

Given numbers are 343, 294, 676, 438

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

Apply this formula for all numbers.

Step1:

LCM(343, 294) = 2058

GCD(343, 294) = ( 343 x 294 ) / 2058

= 343 / 294

= 343

Step2:

LCM(49, 676) = 33124

GCD(49, 676) = ( 49 x 676 ) / 33124

= 49 / 676

= 49

Step3:

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

= 1 / 438

= 1

So, Greatest Common Divisor of 343, 294, 676, 438 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 123, 518, 776, 214
• GCD of 180, 318, 229, 288
• GCD of 648, 583, 465, 750
• GCD of 850, 794, 121, 294
• GCD of 242, 479, 286, 379

Given numbers are 343, 294, 676, 438
The greatest common divisor of numbers 343, 294, 676, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 343, 294, 676, 438 is 1.

1. What is the GCD of 343, 294, 676, 438?

GCD of given numbers 343, 294, 676, 438 is 1

2. How to calculate the greatest common divisor of 343, 294, 676, 438?

We can find the highest common divisor of 343, 294, 676, 438 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, 294, 676, 438 i.e 1.

3. How can I use the GCD of 343, 294, 676, 438Calculator?

Out the numbers 343, 294, 676, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.