GCD of 308, 749, 14, 550 Calculator

Given Input numbers are 308, 749, 14, 550

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

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 14 :

The positive integer divisors of 14 that completely divides 14 are.

1, 2, 7, 14

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

GCD of numbers is the greatest common divisor

So, the GCD (308, 749, 14, 550) = 1.

Given numbers are 308, 749, 14, 550

The list of prime factors of all numbers are

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

Prime factors of 749 are 7 x 107

Prime factors of 14 are 2 x 7

Prime factors of 550 are 2 x 5 x 5 x 11

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

Given numbers are 308, 749, 14, 550

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

Apply this formula for all numbers.

Step1:

LCM(308, 749) = 32956

GCD(308, 749) = ( 308 x 749 ) / 32956

= 308 / 749

= 308

Step2:

LCM(7, 14) = 14

GCD(7, 14) = ( 7 x 14 ) / 14

= 7 / 14

= 7

Step3:

LCM(7, 550) = 3850

GCD(7, 550) = ( 7 x 550 ) / 3850

= 7 / 550

= 7

So, Greatest Common Divisor of 308, 749, 14, 550 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 146, 506, 14, 908
• GCD of 692, 371, 94, 653
• GCD of 244, 319, 68, 566
• GCD of 975, 718, 97, 124
• GCD of 676, 231, 13, 149

Given numbers are 308, 749, 14, 550
The greatest common divisor of numbers 308, 749, 14, 550 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 749, 14, 550 is 1.

1. What is the GCD of 308, 749, 14, 550?

GCD of given numbers 308, 749, 14, 550 is 1

2. How to calculate the greatest common divisor of 308, 749, 14, 550?

We can find the highest common divisor of 308, 749, 14, 550 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 308, 749, 14, 550 i.e 1.

3. How can I use the GCD of 308, 749, 14, 550Calculator?

Out the numbers 308, 749, 14, 550 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.