GCD of 308, 338, 109, 407 Calculator

Given Input numbers are 308, 338, 109, 407

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 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 407 :

The positive integer divisors of 407 that completely divides 407 are.

1, 11, 37, 407

GCD of numbers is the greatest common divisor

So, the GCD (308, 338, 109, 407) = 1.

Given numbers are 308, 338, 109, 407

The list of prime factors of all numbers are

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

Prime factors of 338 are 2 x 13 x 13

Prime factors of 109 are 109

Prime factors of 407 are 11 x 37

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

Given numbers are 308, 338, 109, 407

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

Apply this formula for all numbers.

Step1:

LCM(308, 338) = 52052

GCD(308, 338) = ( 308 x 338 ) / 52052

= 308 / 338

= 308

Step2:

LCM(2, 109) = 218

GCD(2, 109) = ( 2 x 109 ) / 218

= 2 / 109

= 2

Step3:

LCM(1, 407) = 407

GCD(1, 407) = ( 1 x 407 ) / 407

= 1 / 407

= 1

So, Greatest Common Divisor of 308, 338, 109, 407 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 244, 837, 231, 189
• GCD of 500, 689, 168, 848
• GCD of 303, 774, 870, 173
• GCD of 988, 524, 920, 170
• GCD of 259, 268, 881, 334

Given numbers are 308, 338, 109, 407
The greatest common divisor of numbers 308, 338, 109, 407 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 338, 109, 407 is 1.

1. What is the GCD of 308, 338, 109, 407?

GCD of given numbers 308, 338, 109, 407 is 1

2. How to calculate the greatest common divisor of 308, 338, 109, 407?

We can find the highest common divisor of 308, 338, 109, 407 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, 338, 109, 407 i.e 1.

3. How can I use the GCD of 308, 338, 109, 407Calculator?

Out the numbers 308, 338, 109, 407 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.