GCD of 344, 308, 749, 699 Calculator

Given Input numbers are 344, 308, 749, 699

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

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

GCD of numbers is the greatest common divisor

So, the GCD (344, 308, 749, 699) = 1.

Given numbers are 344, 308, 749, 699

The list of prime factors of all numbers are

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 749 are 7 x 107

Prime factors of 699 are 3 x 233

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

Given numbers are 344, 308, 749, 699

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

Apply this formula for all numbers.

Step1:

LCM(344, 308) = 26488

GCD(344, 308) = ( 344 x 308 ) / 26488

= 344 / 308

= 344

Step2:

LCM(4, 749) = 2996

GCD(4, 749) = ( 4 x 749 ) / 2996

= 4 / 749

= 4

Step3:

LCM(1, 699) = 699

GCD(1, 699) = ( 1 x 699 ) / 699

= 1 / 699

= 1

So, Greatest Common Divisor of 344, 308, 749, 699 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 849, 878, 161, 214
• GCD of 743, 226, 796, 578
• GCD of 950, 874, 493, 326
• GCD of 207, 949, 701, 799
• GCD of 995, 448, 188, 530

Given numbers are 344, 308, 749, 699
The greatest common divisor of numbers 344, 308, 749, 699 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 344, 308, 749, 699 is 1.

1. What is the GCD of 344, 308, 749, 699?

GCD of given numbers 344, 308, 749, 699 is 1

2. How to calculate the greatest common divisor of 344, 308, 749, 699?

We can find the highest common divisor of 344, 308, 749, 699 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 344, 308, 749, 699 i.e 1.

3. How can I use the GCD of 344, 308, 749, 699Calculator?

Out the numbers 344, 308, 749, 699 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.