GCD of 299, 402, 738, 343 Calculator

Given Input numbers are 299, 402, 738, 343

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

Divisors of 299 :

The positive integer divisors of 299 that completely divides 299 are.

1, 13, 23, 299

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 343 :

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

1, 7, 49, 343

GCD of numbers is the greatest common divisor

So, the GCD (299, 402, 738, 343) = 1.

Given numbers are 299, 402, 738, 343

The list of prime factors of all numbers are

Prime factors of 299 are 13 x 23

Prime factors of 402 are 2 x 3 x 67

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 343 are 7 x 7 x 7

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

Given numbers are 299, 402, 738, 343

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

Apply this formula for all numbers.

Step1:

LCM(299, 402) = 120198

GCD(299, 402) = ( 299 x 402 ) / 120198

= 299 / 402

= 299

Step2:

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

= 1 / 738

= 1

Step3:

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

= 1 / 343

= 1

So, Greatest Common Divisor of 299, 402, 738, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 545, 896, 764, 138
• GCD of 813, 345, 678, 918
• GCD of 733, 287, 408, 664
• GCD of 801, 110, 844, 336
• GCD of 999, 916, 245, 911

Given numbers are 299, 402, 738, 343
The greatest common divisor of numbers 299, 402, 738, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 299, 402, 738, 343 is 1.

1. What is the GCD of 299, 402, 738, 343?

GCD of given numbers 299, 402, 738, 343 is 1

2. How to calculate the greatest common divisor of 299, 402, 738, 343?

We can find the highest common divisor of 299, 402, 738, 343 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 299, 402, 738, 343 i.e 1.

3. How can I use the GCD of 299, 402, 738, 343Calculator?

Out the numbers 299, 402, 738, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.